This invention refers to receiving and transmitting of electromagnetic radiation devices technique and, in particular, to broadband receiving and transmitting antennas of high (20 - 40db) gain in centimeter and decimeter band and in a longer wave length (1-1Om or longer) and of small dimensions (1-2cm). The invention is intended for designing of an electronic device to be used as the multichannel television antenna for receiving and transmission of the television signal on Earth and in space in industrial, military and private television installations and in mobile phone systems as well. The use of this antenna in all these installations will provide the increase of density of the stream of information received or transmitted, as the frequency range of transmitted or received signals is expanded from audio into video range. With the use of contemporary digital signal processing proposed antenna provides mobile phone devices with ability to transmit or receive as audio and video information as well. In this invention above mentioned antenna parameters may be realized only if antenna is made of nonlinear dielectric material with very high dielectric permeability, which is highly dependant of intensity of the incident electric field, which characteristic frequency of switching of polarization for low level of said electric field at normal ambient temperature is very high. Alternative polarization of this dielectric produces secondary electromagnetic field. Modern television transmitting antenna comprises a vibrator, which converts energy of high frequency oscillations of vibrator conductor free charges into energy of the electromagnetic field radiated into surrounding space. Conversion is based on alternate electric current being the source of electromagnetic field. Antenna, while receiving, serves reverse function, h. e. converts energy of incident electromagnetic field into energy of oscillations of free electric charges in antenna vibrator. Said vibrators may be of two types: electric dipole and magnetic dipole. In accordance with it, modern antennas design is based on the theory of radiation of infinitesimal electric or magnetic vibrator. Electric vibrator is called infinitesimal, when its length is many times less than transmitted wave length, and the phase and the amplitude of said wave is the same along all vibrator length. Magnetic vibrator comprises conductor turn with diameter many times less than the transmitted wave length. To receive television signals antennas, designed in accordance with these physics laws, are used. Television signals are received by straight dipole, antenna Udo-Yagi etc. Television antennas, both transmitting and receiving, usually operate in meter and decimeter bands. Transmitting antennas are usually designed as systems of straight dipoles; gain (AG) and antenna directivity (AD) depends on the layout and the way dipoles are fed. If antenna support cross-section dimensions are small enough and AG needed does not exceed 4-5, then a turnstile dipole is usually used. In all other cases they are using panel type antennas, assembled of separate panels, comprising dipoles and auxiliary parts, which are mounted around the support, in accordance with AD desired, evenly or not and radiate in phase or with some phase shift. Usual dimensions of television dipole system antennas are about 1m and they are installed at the great height to provide normal signal in the coverage zone. The basic material of antenna construction is metal, for dipole material must be of high conductivity, as in a dipole electric current must circulate to produce electromagnetic field. To minimize antenna dimensions and enhance its parameters in modern antenna constructions dielectrics of high permeability are used. Thus, for example, dielectric antenna comprises of dielectric rode, in which electromagnetic field is excited by metallic waveguide or by coaxial line central electrode. In said rode the special type wave (so called "surface wave"), running along the rode axis, is excited and as a result tangent components of electric and magnetic field on the surface of the rode are brought about. Phases of said components vary by the law of traveling wave. Basically, dielectric antenna is the traveling wave antenna, comprising of infinitesimal electric and magnetic vibrators. Its maximum of radiation, as in every traveling wave antenna, coincides with rode axis. AD of dielectric antenna depends on phase velocity of surface wave. This velocity decreases with the increase of rode diameter and dielectric permeability. The less is phase velocity, the bigger is the rode length, at which AD is maximal (so called optimal length) and AG is at maximum. Dielectric antenna rode is made of low loss dielectrics, h. e. with small electromagnetic waves attenuation. Dielectric antennas are employed mainly in airborne radio apparatus of centimeter and decimeter band. To the same purpose in modern antennas materials of high magnetic permeability are used. Such antennas are called ferrite or magnetic. The high magnetic permeability makes possible to produce ferrite antennas with the dimensions substantially smaller than that of common (without core) loop antenna with the same EMF induced in it. Magnetic antenna comprises of the loop antenna (multi turn usually) with the magnetic core. Said core is usually made of magnetodielectric or ferrite. Magnetic antennas are applied mainly for radio direction finding, radio navigation and especially wide they are used in portable radiosets. They have the same AD as that of common loop antennas. Magnetic antenna loop is usually connected to variable capacitor to form at the input of radioset a parallel resonant tank, tunable to the wavelength needed. While transmitting, in the magnetic antenna core the electromagnetic field of high intensity is excited. The magnetic antenna core is solid or assembled of separate sections if its dimensions are too big. Installing the core into the loop (made of conductor) increases its EMF in N times, impedance of radiation in N2 times and loop's inductance in about N times. The value of N depends on effective magnetic permeability of the core, which in it's turn depends on core's initial magnetic permeability and it's length/radius ratio, on core's radius and the radius of the loop. Magnetic moments of domains are summing up and the intensity of the magnetic field, induced in the core, becomes higher, than that of the incident wave. Precisely such an antenna (magnetic one), providing good characteristics (both while transmitting or receiving) even with low level current signals may be employed in cellular communications. But there are wavelength limitations for these antennas. The wavelength of the received signal might exceed the characteristic size of the dielectric antenna but to some extent only. The effective wavelength in magnetic antenna core becomes less than that of the incident wave in several tens of times only. Besides, the area of antenna's cross-section is many tens of times less, than that of area of incident radiation and, therefore, the received signal energy is less to the same extent. Insertion of the core into the loop, along with the positive effect of increasing EMF, causes the increase of heat losses, brought on by conductive currents and hysteresis losses. Losses, as a rule, are bigger for high magnetic permeability materials and are increasing with the shortening of the wavelength of the signal received. The use in television antenna construction dielectric and magnetic materials of high dielectric and magnetic permeability allows to minimize their characteristic dimensions to tens of centimeters, if all other initial output parameters are maintained. Besides ferrodielectrics of high magnetic permeability there are nonlinear dielectrics of very high dielectric permeability. And in these nonlinear mediums dielectric permeability is dependant on external electric field intensity, operation frequency and temperature. Such dielectrics are called nonlinear. In such a medium there are domains of dipoles too but electric ones. Under the influence of external electric field electric domains align along the field direction and produce on the surface of these dielectrics surface charges, which in its turn produce secondary electric field of intensity exceeding the field, which it caused. Inside the dielectric the resulting field is of zero value, as electric fields of positive charges of domains combines with that of negative charges. Unlike nonlinear dielectrics, magnetic fields of ferrodielectric domains are added up, providing the enhancement of external field in ferrite antennas. Up till now in dielectric antennas mainly dielectric medium to influence the phase velocity and to form AD was used. The increase of dielectric permeability causes the increase of refraction index of this medium. This property was used for designing such antennas, as lens antenna, horn antenna and dielectric antenna. In last one this property of the medium was used to transform the long wave into shorter one, h. e. enabling the small antenna to receive the long wave signals. Such antennas may be used in cellular communications. In cellular communications decimeter band is mainly employed. That's why nonlinear dielectrics with high permeability and its dependence on external electric field intensity, operation frequency and temperature to minimize antenna's dimensions to 1cm may be used. The materials of such properties are usually called segnetoelectrics or antisegnetoelectrics. Segnetoelectrics are polarized even at the absence of external electric field. This is spontaneous polarization, which is caused by segnetoelectric crystal structure modification. Segnetoelectrics differ from common dielectrics in that their spontaneous polarization direction may be changed into the reverse one by weak external electric field. There are segnetoelectrics with one polarization axis (segnetosalt) and with several polarization axes (barium titanate). Crystal state, in which segnetoelectric is spontaneously polarized, is called polar phase (segneto phase). Crystal state without polarization is called nonpolar phase. The temperature of transfer of nonpolar phase into polar one or the other way round is called dielectric Curie point. Dielectric permeability of segnetoelectrics in segneto phase is abnormally high. The maximum value for segnetosalt is ε =10000, for barium titanate ε=9000. Accordingly, acceptability factor of such dielectric is comparable with dielectric permeability factor and depends on intensity of external electric field. Non polar segnetoelectric polarization is directly proportional to the electric field intensity and in segnetophase it depends on it nonlinearly. Segnetoelectrics spontaneously divide into areas, called electric domains. Dimensions of these areas depend on minimum value of segnetoelectric full energy, comprising of three parts: external field energy, the sum of internal energy of all domains and surface energy on the frontiers between domains. Up till now these materials were only used to minimize antenna dimensions, while retaining antenna initial output parameters. This patent includes other possible usage of nonlinear dielectric, namely enhancement of the incident field, while it is scattered in nonlinear medium. The intensity of electric field of polarization outside of this dielectric exceeds that of the field it causing. Segnetoelectrics with electron relaxation polarization are most suitable to use in antenna design. Such a polarization is characteristic for solid state dielectrics, in which defects or impurity ions, capable of electron trapping, are included. Such entrapped electrons or holes may change their position because of heat fluctuations. As this takes place, total electric moment of the unity of dielectric volume equals to zero. If the external electric field is applied, such movements are directed mainly along the field direction. Thus in dielectric volume electric dipole torque is induced, h. e. polarization takes place. The relaxation time of this type of polarization at the room temperature is about 10'2 - 10"9 c. Such time of relaxation is matched by operating frequency about hundreds of GHz, quite fit into the frequency band of antenna, in transmitting or receiving mode. This type of polarization plays substantial role in polycrystall ceramics like ruthill (TiO2), perovskit (CaTiOa), barium titanate (TiBaO4), in ceramic materials, made of complex oxides of titanium, zirconium, niobium, tantalum, lead, cerium, bismuth, which are of great technical importance. Segnetoelectric antenna comprises vibrator quite similar of common modern electric dipole antenna. It differs only in that in common antenna alternate current of free electric charges is induced by external alternate electric field, when in segnetoelectric antenna the incident electric field induces polarization of vibrator material, thus generating alternate electric field of bonded charges of polarized dielectric, h. e. characteristic for this case is that incident electric field is converted into alternate electric field of bonded charges, induced in antenna. At the moment the intensity of induced alternate electric field of bonded charges because of nonlinear dependence of acceptability factor of external field, exceeds by an order or even several orders the external alternate electric field intensity. Such a vibrator is similar to the ferrite antenna. Principally new is that instead of magnetic field, as the total sum of fields of magnetic dipoles, the electric field as the sum of fields of electric dipoles of segnetoelectric is used. The alternate magnetic field in ferrite induces alternate current of free charges in metallic loop of the antenna, which is registered as radio signal received. Alternate electric field of bonded charges of segnetoelectric polarization of segnetoelectric antenna in accordance with Maxwell laws induces rotary magnetic field, which in its turn induces in metal conductor of the loop alternate current of free charges. Naturally, this current is perceived as radio signal, coming to segnetoelectric antenna. Principally new is that this, registered by antenna, signal appears as the result of incident wave scattering in nonlinear dielectric medium of antenna , but not as the result of inducing electromagnetic field in segnetoelectric antenna, as it is in common antennas. This produces the new design and new parameters of such an antenna. From physical concepts follows, that the greater is the area of cross-section of such an antenna, the higher is alternate electric field of polarization of segnetoelectric intensity, as the field intensity in this case is determined by surface charge factor. Thickness of antenna does not influence the intensity of polarization field. That is why such an antenna may be as thin as possible without loosing segnetoelectric properties. In experimental studies of properties of segnetoelectrics their thickness is usually tens of microns. Thus, in design, such an antenna looks like a cylinder, which radius greatly exceeds its thickness. To increase antenna surface and, therefore, the signal received, by increasing polarization field of bonded surface charges intensity such segnetoelectric cylinders are assembled into a package. In doing so, thin discs of ferrite with big magnetic permeability are inserted between segnetoelectric cylinders. Such composite antenna possess, besides great dielectric permeability, big magnetic permeability too, which leads to very strong reduction of traveling wave length. This antenna consists of many segnetoelectric vibrators. Their overall area is selected so, as AG of segnetoelectric antenna matched that of parabolic television antenna of 1 m diameter. Besides, big magnetic permeability provides for the greater increase of EMF in metallic loop, when alternate current of free charges is induced. This metallic loop goes through all the segnetoelectric vibrators so that rotary magnetic field encloses it and induces alternate current of free charges. Principally new in antenna design is, that receiving part of it consists of a dielectric but not of a conductor, as in common antennas. Characteristic feature of this antenna is, that it is assembled of segnetoelectric vibrators package and the radio signal comes from metallic loop, passing through holes in segnetoelectric vibrators. Usually in ferrite antennas metal wire winding is slipped over ferrite rode. Composite segnetoelectric antenna, with its dimensions of 1x1 cm2, in accordance with the calculations, displays parameters greatly exceeding that of the best modern antennas. Thanks to very high operational frequency of segnetoelectrics such an antenna provides for reception of signals in broad frequency band and, if the input device bandwidth is narrow enough, then antenna may be tuned to receive great number of TV channels. All the necessary parameters and design of this device are calculated and defined on the basis of experimental data on interaction of electromagnetic radiation with the nonlinear medium and taking into account up to date results in quantum theory of solid state, segnetoelectric studies, nonlinear electrodynamics and in radioelectronics. The method of registration of radio signals by way of interaction electromagnetic waves and segnetoelectric television antenna (Saltykov V.P., Karpunin GA, Korneev A.Y. RU Na 2138102, Cl. H 01 Q 19/09, 1998), comprising inducing of high frequency current in metallic vibrator core by external electromagnetic field, excitation in cylinder volume of segnetoceramics in segnetophase surface charges of polarization, inducing in surrounding space, while transmitting, and excitation in said cylinder volume, while receiving, secondary electromagnetic field for precise tuning and retuning of antenna to other frequency ranges by way of interaction of electromagnetic wave and nonlinear dielectric mediums. Antenna is made of composite material, which shortens the wave, traveling in its volume. Principally new is ceramic nanocomposite material , in which the wave is shortened. It comprises a multitude of dipole cells, which are have micro and nano dimensions. They can be envisioned as compressed springs, with the energy stored, which are capable to react at tiniest changes of electromagnetic radiation. For fine tuning of antenna to a signal in given frequency range resonance properties of antenna, comprising of cylinder volume of segnetoceramics with control electrodes, connected to a constant voltage source, are used. Under the influence of electric field of said source, dipoles in segnetoceramic align along the direction of the field applied and, when influenced by external high frequency electromagnetic signal, produce high frequency polarization, which, in its turn, induce high frequency currents of polarization of said cylinder volume and said currents are sources of secondary high frequency electric field. When radio signal field and secondary field together act on metallic antenna vibrator, the amplitude of the signal received increases if phases of both fields coincide and the input circuits are tuned in resonance. The constant voltage is regulated so as to tune the device in resonance. Naturally, this does not change the dimensions of antenna, but increases its efficiency and decreases the losses in segnetoceramic medium of cylinder volume of antenna. This method is applied in television antenna of NPP "BISIM". It is known a segnetoelectric television antenna (Saltykov V.P., Karpunin GA, Korneev A.Y. RU Ne 2138102, Cl. H 01 Q 19/09, 1998), comprising cylinder volume of segnetoceramics .central metallic vibrator, formed as a rode, mesh control electrodes on the butt planes of the cylinder volume and external source of constant voltage. Television antenna of NPP "BISIM" is made of composite material of nonlinear properties and measures 6cm of diameter and 2.8 cm thick only. For controlling antenna while switching between TV channels and for fine tuning in frequency band chosen on the butts of cylinder ceramic volume control electrodes are fastened, Electrodes leads are connected to constant voltage source. Metallic vibrator core is connected to receiver input. Antenna operates in decimeter and meter bands. This design allows decreasing dimensions of parabolic antennas, receiving signals from satellites in tens of times. Applied dielectric composite materials really posses unique physical features. Manufacturing of antennas for TV reception in meter and decimeter bands is organized already. The development of this antenna has been carried out in the project "New generation antennas of composite materials of special electro physic properties, small size, for different purposes". The project was aimed to create principally new type of antenna, which mass and dimensions will be many times less, than that of traditional ones. The basis of this development serves the usage of composite materials with special electrophysical properties. New method of transmitting and receiving of electromagnetic waves is based on phenomena of shortening of electromagnetic wave inside the composite material and using of said material in design of active elements of antennas. Antenna is a "tablet" measuring 6.5 cm of diameter and 2.8 cm of thickness. It is designed to receive signals of all TV channels of meter and decimeter band (ch 1-69). This antenna, being many times smaller than common "big" ones, is as good as they in quality of the signal reception. Characteristic features of this antenna are reduction of dimensions in 10-20 times, reducing of internal noise of antenna, as compared with the common ones, possibility to operate with a reflector, pollution-free design, universal application, possibility of covered installation. Besides it is not sensitive to many sources of interference and it is possible to use it in radio broadcasting. In this patent application on the design of segnetoelectric antenna already known method is visible. The main complaint to the patent authors concerns that they did not apply for the patent on method of fine tuning of antenna and its retuning to other frequency bands on the basis of phenomena of propagation of electromagnetic waves in nonlinear medium. This method can not provide for high enough gain of radio signal, as signal registration is performed through the voltage, induced in metallic vibrator by incident electromagnetic field. Real part of the voltage induced is in reverse proportion with antenna capacitance and in direct proportion with ohm resistance of the medium. The capacitance of such an antenna depends on nonlinear medium dielectric permeability. When the incident electric field intensity is low, medium dielectric permeability is very high and because of it the induced voltage value becomes very small. Besides, currents, induced in antenna, are greatly diminished because of high resistance of composite material. Thus, it is hard enough to get high gain of voltage and current by this method. Used in this method constant voltage must produce in segnetoelectric medium of an antenna intensity about 0.4 kV/mm. With ceramic thickness of 3 cm, it demands constant voltage 1.3 kV accordingly. Such source must be highly stabilized and its fluctuations should not exceed the radio signal amplitude, which is about 10 mkV and it is hardly possible. Besides, metallic mesh control electrodes on the surface of cylinder ceramic body are screening from signals of TV frequency range as metallic vibrator and the ceramic cylinder as well. It should be noted, that when tuning by increasing constant voltage on control electrodes, the dielectric permeability of segnetoelectric decreases with the law 2/3, and, accordingly, are worsened segnetophase transition conditions and tuning to resonance conditions too. In the known device only one disc of nonlinear dielectric with thickness of 3 cm is used. This means, that antenna cross-section is far less than that of incident radiation flow, causing strong reduction of power of signal received. The value of surface charge, induced on the surface of dielectric, does not depend on its thickness, but on the butt ends area only. This is because of its anisotropic properties and its polarization in definite direction only. In this case it is an axis of disc direction. Therefore, the thickness of the disc may be small enough, for example, not exceeding 0.1 mm but not less than 10 mkm. It is possible to assemble plenty of such discs to enhance the power of the signal received. This design matches electric dipole antenna with the resistor in the turn and additional electric signal. The signal received in antenna is taken of the vibrator, comprising of metal rode, inserted in the hole in the center of cylinder body segnetoceramic antenna. In said vibrator high frequency currents are induced by external electromagnetic field and by electric field, induced by external electromagnetic field because of polarization by constant voltage source. By virtue of this antenna gain is provided because of segnetoceramic cylinder volume serves as a horn, focusing high frequency electric field in the vicinity of the vibrator. This antenna may be represented as a circuit, comprising of capacitor, in which surface charges arise, which in its turn induce free charges in control electrodes material, vibrator resistance, antenna characteristic resistance and the constant voltage source. As segnetoceramics is of very low conductance, the control electrodes are connected to a very big resistor and the current in circuit is very small. That is why the gain of the signal, received in antenna, is very small. Thus, antenna of NPP "BISIM" design is of poor efficiency in reception of TV signals and its only assets are small dimensions and the possibility of fine tuning. Technical advantage of this invention consists in exclusion of afore said deficiencies in the method and in design, in high increase of radio signal gain, expanding of operational band into meter wave band, providing the possibility of reception of TV signals with the still smaller antenna dimensions. Such antenna parameters may be brought about only if both the new method and design are united. The necessary antenna dimensions may be achieved only if dielectric material with high dielectric permeability, depending on external electric field intensity, for example, segnetoelectric. Its dielectric acceptability factor must be of maximum at the room temperature. This dielectric must operate at the high frequencies of alternate electric field. To produce such a device the plate of segnetoelectric should be cut out of segnetoelectric monocrystall with the cutting plane perpendicular to maximal dielectric permeability direction or a layer of polycrystal mixture of segnetoelectric should be applied on the surface of another material with common dielectric permeability. On butt ends of said plates control electrodes are clad, but electrodes thickness should exceed the "scin-effect" layer on the frequency received thickness. At the moment of applying the polycrystal layer should be placed in electric field with intensity, exceeding that of coercive force of this dielectric. To enhance the dielectric antenna gain the device is assembled of segnetoelectric plates into a package. The area of the plate and its number is defined of necessary antenna gain. The radio signal is taken from the metallic wire turn, going through the holes in all the segnetoelectric plates. It is possible to achieve big gain, wide operational frequency band in transmitting and receiving mode, good antenna directivity and improvement of other parameters by others, already existing, ways and means. Most often it is done by increasing the antenna dimensions. Applying in design of modern antennas such materials, as segnetoelectrics, allow the reduction of antennas dimensions but not a significant one. Required result is brought about using the method of exciting of the segnetoelectric antenna comprising inducing of high frequency current in a vibrator metallic core by means of an external electromagnetic field exciting of surface charges of polarization in a cylinder volume of segnetoceramic in the segneto state inducing in surrounding space, while transmitting, and in said cylinder volume, while receiving, secondary electromagnetic field for the precise tuning or for the frequency change differing in that the cylinder volume of antenna is made up of interleaved layers of cegnetoceramic plates and plates of ferrodielectric material, which fill up cylinder volume and which are stiffened into a layer package, where each segnetoceramic layer serves as a vibrator, and for amplification of radio signal, while receiving, excite the antenna by inducing surface charges of polarization in each segnetophase vibrator by external electromagnetic field of layered package and by same polarization charges excite secondary electromagnetic field by way of inductive coupling of vibrator package with afore said core induce high frequency currents in said core made as metallic loop and thus increasing amplification factor of a signal received in proportion with the number of vibrators in layered package, vibrator area, segnetoceramic's dielectric permeability, ferrodielectric plates magnetic permeability, the inductance of segnetoceramic vibrators package, package characteristic impedance, the number of turns in said core and it's inductance and power amplification of a transmitted signal is done by exciting high frequency currents in metallic loop, thus exciting high frequency electric fields of surface charges of segnetophase vibrators which are emitting into surrounding space thus produced secondary electromagnetic field, which power is proportional to the number of vibrators in layered package, vibrator area, segnetoceramic's dielectric permeability, ferrodielectric plates magnetic permeability, the inductance of segnetoceramic vibrators package, package characteristic impedance, the number of turns in said core and it's inductance. The result is achieved too by using segnetoelectric antenna comprising of cylinder volume of segnetoceramics, central metallic electrode, formed as a rode, mesh control electrodes on butt planes of cylinder volume and external constant voltage source differing in that antenna cylinder volume is made up of segnetoceramic plates, which thickness is not less than 10 mkm, divided by ferrodielectric plates of same thickness, while all plates are hermetically stiffened into unified layered package of segnetoceramic vibrators, flat butts of which are clad with control electrode layers with thickness not more than 0,1 mkm, all of which are connected in parallel and a core is made of metallic wire turn and is rigidly mounted into the vibrators package hole and its leads are connected to receiver-transmitter device. Vibrators are assembled as a capacitor connected to a constant voltage source, while on exterior sides of capacitor plates piezoelectric plates are tightly fixed. Vibrator control electrodes are made of semiconductor material of p- or n-type. Vibrators are made of semiconductor material of p- or π-type and its control electrodes are made of semiconductor material of opposite type with junctions of n-p-n or p-n-p type. The essence of the innovation is explained by drawings, figures and plots. The process of incident wave scattering on the segnetoelectric plate is shown on fig.1. The equivalent schema of electronic processes taking place in segnetoelectric, while the incident wave is scattered, is shown on fig.2. The plot of dependence of the intensity of electric field of scattered electromagnetic wave while incident electromagnetic wave interacts with the segnetoelectric vibrator is shown on fig.3. On fig.4 physical processes of interaction of incident electromagnetic wave with the segnetoelectric vibrator, inducing of polarization in segnetoelectric, inducing alternate electric field of bonded surface charges, rotary magnetic field alternate current in a loop are shown schematically. Fig.5 displays antenna design (a), cross-section of a part of an antenna comprising plates of dielectric and of ferrite with the core (b) and equivalent electric schematic of an antenna (c). The device to effect the method proposed comprise cylinder volume 1 of segnetoceramics plates 2, which thickness is not less than 10mkm, divided by ferrite plates 3 of same thickness, while all plates are hermetically stiffened into unified layered package 4 of segnetoceramic vibrators 5, flat butts of which are clad with control electrode layers 6 with thickness not more than 0,1 mkm, while all vibrators are connected by this electrodes in parallel, and a core 7 is made of metallic turn and is rigidly mounted into the vibrators package central hole 8 and it's leads are connected to receiver-transmitter device 9. Vibrators 5 are assembled as a capacitor connected to a constant voltage source 10, while on exterior sides of capacitor plates piezoelectric plates 2 are tightly fixed. Vibrator control electrodes 6 are made of semiconductor material of p- or n-type. Vibrators 5 are made of semiconductor material of p- or n-type and its control electrodes are made of semiconductor material of opposite type with junctions of n-p-n or p-n-p type. This method is effected as follows: the cylinder volume of antenna 1 is made up of interleaved layers of segnetoceramic plates 2 and plates of ferrodielectric material 3 , which fill up cylinder volume and which are stiffened into a layer package 4, where each segnetoceramic layer serves as a vibrator 5, and for amplification of a radio signal, while receiving, excite the antenna by inducing surface charges of polarization 11 in each segnetophase vibrator by external electromagnetic field 12 of layered package 4, and by the same polarization charges 11 excite secondary electromagnetic field 13 by way of inductive coupling of vibrator package with afore said core 7 induce high frequency currents in core, made as metallic loop and thus increasing amplification factor of a signal received in accordance with the number of vibrators 5 in layered package 4, vibrator 5 area, segnetoceramic's permeability, ferrodielectric plates 3 magnetic permeability, the inductance of segnetoceramic vibrators package 4, package 4 characteristic impedance, the number of turns in core 7 and it's inductance and power amplification, while transmitting signa,l is done by exciting high frequency currents in metallic loop 7, thus exciting high frequency electromagnetic fields 12 of surface charges 11 of segnetophase vibrators 5, which are emitted into surrounding space thus producing secondary electromagnetic field 13, which power is proportional to the number of vibrators 5 in layered package 4, vibrator 5 area, segnetoceramic's permeability, ferrodielectric plates 3 magnetic permeability, the inductance of segnetoceramic vibrators package 4, package characteristic impedance, the number of turns in core 7 and it's inductance. When in antenna 1 high frequency currents 11 are excited and secondary electromagnetic field 13 is induced (both in receiving and transmitting mode) in capacitor 15 electric charges 11 are induced, across the resistor 16 voltage is applied and magnetic field of secondary electromagnetic wave 13 in the (equivalent) coil of inductance 17 induces magnetic field in (equivalent) coil of inductance 18 of the core 7, which leads are connected to the input of transmitter-receiver device 9. Efficiency of the method and the device originates from the following: Nonlinear dielectrics are capable to polarize in external electromagnetic field, generating in the process of polarization secondary electromagnetic field. Naturally, electric polarization occurs when dipoles are aligned. Bonded surface charges generate in the process the external electric field. Segnetoelectrics, depending on the character of the charge brought in, may generate electrostatic field, external and internal as well. Let us define the intensity of electric field, generated by surface charges of segnetoelectric in segnetophase. Let us take definitions: s film thickness, ε dielectric permittivity of the film, Si the clearance between electret and electrode, εi dielectric permittivity of the substance in the clearance, E intensity of electric field in the clearance, V potential difference between segnetoelectric surface and the lower electrode. Evidently, the fields in the film and in the clearance will be uniform. Therefore to define them we need only two equations: condition for normal projection of electric inductance vector on the dielectrics boundary with the extra charges layer: Di - D = σ And the short circuit of electrodes: V1 + V = 0 Changing to intensities, we get a system of two equations, regarding unknown fields Ei and E ε-τε0 Εi - ε-εo - E = σ s-E + Sr E1 = 0 Solving the equations system, after simple rearrangements, we obtain : E1 = σ-s/(εo-(ε-τs + S1- ε)) E = O-SiZ(E0-( E1 -S + Sr ε)) In the limiting case, when electrode 2 is moved from the surface of segnetoelectric into the infinity we obtain so called "free" segnetoelectric. From the formula it is clear that the field in the clearance disappears, while in dielectric it becomes equal: E-i = O, E = σ/ε0 . The last relation fully coincides with the equation for the field of flat infinitely extended capacitor with the dielectric. Thus, we get the condition on which polarized segnetoelectric electric field, induced by external field, may be used to enhance signal received. The higher is index of permittivity of segnetoelectric, the higher is electric field of polarization and the greater is the enhancement of the amplitude of electromagnetic wave, which interacts with nonlinear medium, on condition that segnetoelectric switching frequency matches the frequency of alternation of external electromagnetic field. Application of such an effect allows the transition of temporal variations of surface charges density into conductive medium free charges currents by induction in vicinity of segnetoelectric rotary electric and magnetic fields. Segnetoelectric division into domains causes some of its nonlinear properties, and firstly nonlinear dependence of electric polarization, caused by external field, of this field intensity P=a(E)E. This is related with that polarization direction may be reversed and that reversion is achieved at the different intensities of external field. Most typical kind of segnetoelectrics is barium titanate (BaTiOs). It is characteristic of segnetoelectrics, that spontaneous polarization takes place in a certain interval of temperatures only. Temperature changes cause the structure changes, accompanied by appearance or disappearance spontaneous polarization. Phenomena is called phase transition and appropriate temperature is called the temperature of phase transition or Curie point P = a (T) E. Thus, for example, in barium titanate the maximal polarization and permittivity are reached in the temperature range of 0° - 30° and are equal to about a = ε = 10000 . Dielectric permittivity of segnetoelectrics in weak fields depends on their frequency too. With the increase of the frequency, permittivity may decrease in the frequency range, where it is near the resonance frequency of segnetoelectric plate with given dimensions. When the field frequency passes the resonant one upwards, the crystal passes from mechanically free condition into mechanically fixed one. As a rule, the decrease of permittivity, caused by mechanical fixation, occurs at rather low frequencies (tens of MHz depending on geometry of plates). The next region of decrease of polarization of segnetoelectrics is caused with inertness of domains. For barium titanate it lies in decimeter and centimeter bandwidth. The third region of decrease of permittivity, and consequently, of polarization occurs on the frequencies, matching frequencies of inherent oscillations of crystal grate (104 MHz). From these follows dispersion dependence of medium polarization by external electromagnetic field P= a(ω) E. Thus, in the general case the main types of dependencies of segnetoelectric polarization of parameters of segnetoelectric itself and of exterior conditions parameters, which will influence the electromagnetic wave propagation in said medium are defined from P= a(E, T,ω) E. If polarization of different segnetoelecrics is compared, taking into account all these parameters, then most suitable in our case is barium titanate. It has one of the greatest values of permittivity (10000), while at normal temperature (0 -30°), and its operational frequencies lie in necessary frequency band of electromagnetic field (100kHz-100MHz). Barium titanate is most easy in processing, when produced in different modifications (crystal, ceramics, layer), and in application. It is one of the cheapest materials among segnetoelectrics. In doped segnetoelectrics the phase transition is stimulated by adding small quantity of dipole dope. But in this case dispersion of permittivity becomes a great one and relaxation response in a spike is great, many times exciding dielectric permittivity of the main grate itself. The main grate, in its turn, influences dopes, enhancing the dispersion of their dielectric response. Let us consider dielectric permittivity dependence of external field intensity, frequency of external field and phase transition temperature more closely. Selters model of dielectric response is modified in this case, when, along with the ion polarizability, the relaxation polarizability takes place. In connection with it, theoretical investigations are sufficiently obstructed by the necessity of taking account of quantum effects in dynamics of the grate, tunnelling, interaction of dopes, dispersion and polarization (as static and generated by external field as well). The formulas resulted may be used for processing of data in disposal on both types of segnetoelectric. Such permittivity behaviour is observed in broader class of materials - relaxors. But with them it is spontaneous fields that play the role of ion quantum oscillations, subsiding the phase transition. Let us write dipole density matrix equation Pd : dpd /dt = [Hd pd]/ ih - (Pd - pd) /T,

where [AB] = AB - BA, and pd = exp(-Hd / kβ T) / Sp (exp(-Hd / kB T)) - Bolzman averaged density

matrix. Dipoles Hamiltonian should be written in lsing transverse model approximations: Hd = -Ω ∑SΪ-2μE∑S; -JU\∑S; -∑ J9SfS], i i i i<j Where P/, - main grate polarization, Ω - tunnel integer, μ - dope dipole torque, E - external electric field, λ - constant of polarization and dipole torque interaction, J1 j dipole torques interaction matrix, Sf quasi spin operator. Inserting this relation into density matrix equation we get average polarization density as: Pd = 2μ nd f (u), Where

From this follows, that external field dependence enters only in relation u = (2μE + λ Ph + Jo <SZ>') Therefore, the derivative of the field, necessary to find permittivity, may be defined as:

Xd = ε υl dPd/dE = ε υ~ 2μ nd F ( 2μ +/IP h7 +J0 <SZ >')

= 2μ nd (2μ + λd Ph / dE +J0 ε0 xd/2μnd) F/ε0 ,

where F = f (u), u = 2μE + λPh + J0 <SZ>

After determining the derivatives, we obtain

F=f '(u)=[16(1+iωτ) e\] ^ {(Ω2/ e+ ) th (ΘΛB T)+(u2/kB T) ch2 (e+/kB T)

The first component is similar to permittivity, found empirically by Barret. The second is similar to already known Langeven function. The dope segnetoelectrics permittivity may be now defined as

_i Xd = 2μ ΠCFSQ (2μ + λd Ph/dE) /(1- J0F),

F = f '(U) =[4(1 + ωτ) kB Tf ch'2(u/2 kB T). Where τ is the segnetoelectric relaxation time, while external field is switched over. From the definitions of segnetoelectric permittivity its dependence of switching frequency and on intensity of electromagnetic field is seen. In both cases they are of hyperbolic character, h.e. dependencies are in reverse to changes of parameters. But, to make this dependence more precise, it is necessary to consider experimental results of measuring of permittivity dependence of frequency and intensity of electromagnetic field. Investigations were conducted on capacitor with "sandwich" structure, using Pb(Zri_x Tix)O thin films . The dependence of dielectric permeability ε on electric field intensity E in such a structure is defined by the relation: ε = 1 + (1/ εo) - (dP/dE) Analyses of experimental results of investigation of dependence of segnetoelectric polarization on electric field intensity gives a relation

ε = 161.0000000 + 1600.000000 l+.129129600000040~14£2

This relation for dielectric permeability dependence on the intensity of electric field in capacitor is produced of two derived earlier relations: one describing the derivative of dependence of polarization on voltage and the derivative of dependence of polarization on intensity of electric field. It is apparent that dielectric permeability of segnetoelectric is rather high. Such permeability provides enhancement of incident electromagnetic wave. But there are others segnetoelectrics, possessing dielectric permeability of magnitude in orders greater. This may provide far greater enhancement. Let us consider now the dependence of intensity of external field, induced by segnetoelectric, on the voltage of the controlling field in the capacitor for considered frequencies of the alternating voltage. Nonlinear properties of crystals Li2-XNaxGe4Og , most close to TGS crystals were explored. The nonlinearity of dielectric properties in the region of phase transition temperatures was measured. In the experiments the value of nonlinear factor β of shift of phase transition temperature Tc (Curie point) and variations of dielectric permeability ε under the influence of electric field was determined. The segnetoelectric crystals with Curie temperature about 290 -300K were mainly considered. Test specimens were grown by Chokhralsky method and were formed as plates of several tenth of mm thickness with main plane (100). Dielectric permeability was measured in the frequency range from 10kHz up to 100MHz. It is known, that segnetoelectric crystal polarization by electric field E strongly affects dielectric permeability ε anomaly in the phase transition region. Experimental data on ε(T) of some crystals, like barium titanate, was obtained for different values of E. At the temperatures higher than Curie point, dielectric permeability decreases, when the electric field is increased, while the temperature is constant. These results are explained by Ginsburg-Devonshire phenomenology theory for phase transitions of the second kind. To determine factor β, which characterizes the nonlinearity of dielectric permeability, several relations, derived from thermodynamics theory, are used. If in expansion of thermodynamic potential in terms of polarization degrees to confine to P4 , then the temperature shift, matching ε in dependence of electric field intensity is described as: ΔTC = D-E273 . In this approximation D = (6 β/a3)1/3 , where β - coefficient of P4, a = 4π/C, where C - Curie-Weiss constant. On the basis of experimental data the dependence ΔTC = fζE2'3) was plotted, which has linear character. Using relation for ΔTC the value of β, for the material measured was received, coinciding with values, received earlier for these segnetoelectrics. The decrease of maximal value of ε in the phase transition region may be used for correlation of thermodynamics theory with the experiment. In approximation, taken above, the maximal value of ε is bound with electric field intensity by the relation: ε= 4.π/(3.β1/3 Em) The dependence ε=f(E2/3) for segnetoelectric crystals, constructed on data of Fig.1 , coincides well with the straight line. Coefficient β, calculated from inclination of the line, for example, for Li2-XNaxGe4O9, is equal 1.26-10"9 (CGSE cm2)"2. The coefficient β value for phase transition of the second kind is estimated from temperature dependence of Ps2 near Tc, which is described by relation Ps2 = a' (Tc -T)/β. While measuring these crystals along the dielectric hysterezis loop, it was confirmed experimentally, that this relation is valid in the interval (T0-T) < 1OK. The value of β was measured in different crystals in many researches. Thus, in case of free BaTiO3 , at Curie point β equals 2.5 10"13 (CGSE cm2)"2. For TGS crystals most reliable value of β at Curie point equals 7.7 10"10 (CGSE cm2)"2. For a free segnetosalt crystal β equals about 6-10"8(CGSE cm2)"2. Thus, of all these considered classic segnetoelectrics Li2-XNaxGe4Og crystals by their nonlinear properties are most similar to TGS crystals, a' and P5 in crystals of both these groups are of same value. The values of all these parameters reflect mechanics of phase transition and are connected with aligning of constant dipoles torques. For Li2-XNaxGe4Og crystals the plot of function, approximating the dielectric permeability dependence of electric field intensity, constructed in accordance with formula above and the plot, constructed on experimental data will look like: 12.561 0.003240246894E2/3 + 0.003130372832 This means that approximating function correlates with considered relationship of dielectric permeability variation depending on electric field intensity and, therefore, such function may be used to determine such a dependence of another similar segnetoelectric, for example, barium titanate. It has β = 2.5 10"13 (CGSE cm2)"2 and that is why approximating function will look like: 12.561 ε = 0.001889881575£2/3 + 0.00135 The calculated, according to the formula above, dielectric permeability dependence of intensity of electric field fully coincide with experimental results for barium titanate at the temperature of 200C. Experimental results provide now the possibility to determine approximation function of variation of intensity of electric field, induced by bonded surface charges, outside the segnetoelectric, depending of intensity of electric field in capacitor and depending on its frequency. It is supposed, that while in segnetoelectric varied in time surface charges are induced, outside of segnetoelectric external alternate electric field with the frequency equal to that of controlling field is generated. This field is approximated by function:

Ev : = .3600000000-1O10 e{'Λ2mM (arctan(.36-10'7 E) + .36- 10'8-E) At the frequency of controlling field of 100MHz, the intensity of electric field, induced outside of segnetoelectric, has the same value, as that of controlling field , h. e. E=10mcV/m.

Ev := 1.000000000 ( 161.0000000 + 16Q0-000Q0° 14 ,) E 1 + .1296000000-10"14E2 But there are segnetoelectrics, having dielectric permeability of several orders higher, which may provide greater enhancement. Now, let us consider the dependence of intensity of induced by segnetoelectric external electric field on voltage of controlling field in the frequency band, defined above. This dependence of electric field intensity on polarization of segnetoelectric for barium titanate is defined by relation: .36 - 1010g(" 12V^12.561E V ' .003240246894E2/3 + .01145879394 At the frequency of controlling field of 100MHz, the intensity of electric field, induced outside of segnetoelectric has the same value, as that of controlling field , h. e. Ε=10mcV/m. Summing up, we see a good coincidence of formula derived data and experimental results, lnhomogeneous composite dielectrics, composed of two or more components, are often used in practice. Such are many plastics, composed of filler and binder, ceramic, fiber, porous materials, impregnated and not. While calculating, it is supposed, that this mixture is purely physical and there is no chemical interactions. For the antenna discussed, most suitable design is the sandwich assembled of similar round plates of segnetoelectric, divided by similar plates of dielectric with low value of dielectric permeability. Overall area of plates in a sandwich must be equal to an area of parabolic antenna of 1 m diameter. In preliminary investigations it was found, that there must be about 100 plates. Let us define overall dielectric permeability of cylinder design of antenna. Plates interconnections may parallel or serial. The filling efficiency may be taken equal to unity. Dielectric permeability of one plate is determined from:

( J 3 - j3m - E213 If the plates are connected in parallel, the overall dielectric permeability of antenna, assembled of 100 plates of diameter d and length of l=100L is equal: ._, _ 100 • 4 -π εB (E) = 3.β^ .ε^ If the plates are connected in serial the overall dielectric permeability of antenna is equal:

In the first, most suitable, case dielectric permeability increases, while capacitance decreases and antenna resistance increases too. It is suitable, because the increase of dielectric permeability leads to the enhancement of antenna gain (AG) and at the same time it does not affect operational bandwidth and resonance frequency of antenna. Segnetoelectric antenna may be presented as an electrical circuit, comprising nonlinear capacitor, resistor and inductance. Therefore in such a circuit nonlinear oscillations, induced by electromagnetic wave, will take place. As the capacitor contains a segnetolectric, the switching processes in it take place. The electric field intensity E varies with variations of coming radio signal. One can suppose, that resonant curves (for different values of temperature and external electric field intensity) of the first harmonic of the current of oscillatory tank with segnetoelectric (BaTiO3) capacitor will change with the increase of temperature and points of resonance will move to lesser frequencies. Such tendency also arises with the increase of external field at the fixed temperature in small fields region, where resonance points shift to lesser frequencies takes place too. If coming signal amplitude increases, said shift is slowed down. The last case may be explained by dependence of dielectric permeability of segnetoelectric on temperature and applied field. Really, with the temperature increase, in vicinity of Curie point, dielectric permeability of segnetoelectric increases. This causes an increase of capacitance and, as a result, decrease of resonant frequency. In a dope free crystal, where internal field is absent, the dependence of dielectric permeability on field has a maximum point. This point divides the curve of dependence ε(E) in two parts: the rising and the falling . If the intensity of applied field is less than Ec, then the switching of segnetoelectric stops and relation dP/dE decreases and so does ε. In this case the resonant frequency will rise with the rise of the field. In doped materials field dependency of dielectric permeability is more complicated and resonant currents maximums, taking into account applied field and temperature dependence of ε, shift to higher frequencies. Polarization of medium, besides depending on parameters, discussed above, depend on intensity of electric field of incident wave, changing in space and time E= E(x,y,z,t). Accordingly, if all functional dependencies of polarization on main parameters of medium and external influence are known, then it is possible to define the variation of polarization of all these parameters and, therefore, the intensity of electric field outside of segnetoelectric, resulting of polarization, induced by electric field of external wave. Thus we obtain the relation of electric field outside of segnetoelectric, as dependent on all parameters of medium and external influence: 4τt E8 = — -P(E, T,ω,x,y,z,t)

In general case, electric and magnetic properties of different media are defined by Maxwell equations. They are as follows: V -D =p dB Vx E= dt V -B = O 3D . Vx H= — + J dt where D =ε E = E + 4πP B = μ-H In our case the last equation is necessary. In the absence of currents this expression may be transformed to

J H dl = ! — dS dt or, for a segnetoelectric disk of radius r 3Es(t) r Hs(t) = E0 dt 2 Where εo - dielectric permeability of vacuum. As on the surface of segnetoelectric plate alternate surface charges are generated by the process of polarization of segnetoelectric by electric field of external electromagnetic field of a wave coming through the segnetoelectric, outside of the plate alternate electric field Es(t) is generated, which in its turn induces rotary magnetic field Hs(t). The second of Maxwell equations above defines the process of inducing of rotary electric field ESi(t) , directed against the field E's (t), which caused the former. The field Esi(t) , in accordance with Faraday law, induce in conductive medium currents of free electric charges:

where μ0 - dielectric permeability of vacuum, L - the distance between two plates of segnetoelectric. Between two plates rotary magnetic field induce the alternate electric field of intensity, defined by: _ ... dHs π -r2 Esi(t) =-μ0 —f- —— υt L Or, in other words, if inside the rotary magnetic field a conductive medium is placed, then a current of free charges is induced in it, for example, in metallic wire placed into rotary magnetic field H3 (t).

σs = Esι = Js = c- Hs — Z* Where c - light velocity in vacuum, σs~ medium conductivity factor

In the last case the condition ω « — must be obeyed.

This is the case with distances between plates less than 1cm and for nonlinear antennas it is quite acceptable. But in the scattered by this medium radiation additional spectral components will appear and this should be taken into account. In particular, it was found, that volt-ampere characteristic of thin segnetoelectric plate at low frequencies is very similar that of diode with p-n junction. At the same time in segnetoelectrics there are such effects, as nonlinear dependence of permeability and polarization on intensity of the field and its frequency. Determination of nonlinear properties of segnetoelectrics opens new possibilities by using nonlinear medium properties for designing antennas with new properties. Though this problems are of great future, the methods of analysis of scattering of high frequency electromagnetic field in nonlinear medium, existing now, are poorly investigated. These methods are limited by some cases of vibrator antennas with nonlinear load or by case of nonlinear contact of two infinite extent semiplanes. It is hardly possible to simply transfer methods of nonlinear optics into radio frequencies. At the moment in radiophysics they are using approximate methods, based on defining field characteristics near chosen harmonics by using theory of disturbances. Common deficiency of these methods lies in that they do not allow to follow the variations of scattered signal characteristics in their dependence on scattering elements parameters, nonlinearity parameters and spectral characteristics of incident radiation. For defining all spectral components of scattered ultra wide band radiation more precise description of processes in nonlinear medium is needed. The general electrodynamics approach is needed to solve the problem. In this paper, on the basis of evolved already known methods of analysis, the description of scattered in nonlinear medium field, using scalar electrodynamics theory, is offered. In the derived integer equation, as spatial and temporal variations as well of initial signal, while passing through nonlinear medium, are considered. The solution is derived for the incident wave of arbitrary enough form and it provides for diagnostics of the kind of nonlinearity. The conditions, by which the derived equation transits into representation, which is used in equivalent schematics method, are shown. This problem was solved by using the methods of the paper. Let us put down Maxwell equations for a nonlinear medium. To simplify we would not consider magnetic properties of medium, taking magnetic permeability μ0 as constant. If the properties of medium are constant in time, then dielectric permeability and conductivity will depend on difference of time only. As a result, material equations for electric induction and current density in the spectral region become: J(r, ω) = [σ0 (ω) + σrfr, ω)] E(r, ω) D(r,ω) = [ε0 (ω) + εi(r,ω)] E(r,ω) Here εo (ω) absolute dielectric permeability and σo (ω) - characteristic conductivity of medium, which is supposed to be linear and uniform. The second components in the square brackets (dielectric permeability and conductivity) are connected with nonlinear perturbations of phone medium and depend on intensity of field E:

εi(r,ω) = J E1 (r, t, E (r,t))eiωt dt

σi(r,ω) = J σi (r, t, E (r,t))eiωt dt

In such conditions the problem of defining of some component of full electric field comes to solving nonuniform integer Fredholm equation of the first kind: E(r, ω) = Eo(r,ω)+i-ω-μo -l[-ω-ε1 (r, ω )+σi(r,ω)] E(r, ω) G(r-f) d3 r Where G(r) = expfl k \ή) /4π \ r\ - Green function k = ^μ0ε0(ω) - wave number of phone medium. E0(r,ω) - defines intensity of incident wave, while integer in the right side of equation, represents scattered by nonlinear nonuniformities field. Equation is represented in scalar way and it is known as Lippman- Schwinger equation. It is obtained of Helmholz derivative equation by using Green functions . It is important to underline, that this equation is nonlinear integer one. Nonlinearity shows itself in electrophysical parameters dependence on the field intensity. Let us study the derived dependence for the case, when the nonuniformity is isolated and confined to some point of space. In case of nonuniformity with r = r0 let us suppose that its form is approximated by cylinder of radius a and length L (Fig.1 ). In accordance with this relation, the scattered field and its spectrum are defined by values of full field at the point, where the nonuniformity is placed, Eo(r,ω). Defining of field Eo(r,ω) values comprises so called internal electrodynamics problem. Let us solve the integer in equation, supposing that characteristic dimensions of nonuniformity are small (a,L«λ), and expand the exponential part of the integer as a power series with diminishing indexes. In that case the intensity of induced electric field (the internal problem) is defined as:

E(r,ω)=Eo(r,ω)+i ω μo[-i-ω-ε1(rθ!ω)+σi('O,ω)]-E(ro,ωy^r {arsh(—)+i k- — } 2 2α 2 This value was obtained, supposing that the field is concentrated near the surface of the nonuniformity. The form of this function depends on the form, to which the nonuniformity is approximated. It follows, that the voltage of electric field, induced in segnetoceramic plate, may be represented as

The notations, entered here, have the following meanings: Uo(ω)=Eo(r,ω)-L electromotive force (EMF), induced on the ununiformity by incident radiation. l(ω) =π-α2-σi (ro,ω)Ε(ro,ω) conductivity current, induced in nonlinear element and u(ω)=E(r,ω) L the voltage drop, caused by this current. C(ω) = E1 (ro,ω)- π c?/L - equivalent capacity. n -_i -,( \ (k -L)2 IfL Z- -O)0 - U0 - Z. . , L , . . , Besides, Z(ω) = - — — — - — — — — arsh( — ) complex input 4π y εQ Aπ 2α impedance, depending on the object dimensions. The real part Z(ω) coincides with the radiation impedance of electric dipole with the accuracy to constant factor, while the imaginary part corresponds with the imaginary part of input impedance of radiating systems. When L«a, this imaginary part corresponds with inductive resistance of disc. This equation corresponds with equivalent schematic from Fig.2. This representation is used while analyzing the response of the vibrator, loaded on nonlinear contact or diode. Unlike the traditional method, this equation is derived by asymptotic analysis of precise wave representation. In general, nonlinear medium properties are considered in this equation by current l(ω) and capacity C(ω). Such representation of elementary nonlinearity by its volt- ampere and volt-farad characteristics in temporal representation is a common practice in calculations. But, if the nonuniformity dimensions are small (λ»a»L), then one can neglect the nonlinear character of inductance and capacity. Taking all this into account, it is clear, that the quite simple in its form equation in reality represents nonuniform nonlinear integer equation. If volt-ampere characteristic l=Φ(u) is of arbitrary form, then it is impossible to solve this equation by analytic methods. The field, scattered by nonlinearity, is fully determined by the initial field in it. The external electrodynamic problem consists of defining that scattered field. Scattered by segnetoelectric plate field for a distant zone (when |Λ(/vø)|»1) may be determined by formula

Ei(ω,ή~ -i-ω-μol∑(ω)-L-G(r- ro,)

Where l∑(ω)= l(ω) - i-C(ω) u(ω). Providing for the vector character of electromagnetic radiation, the scattered field may be determined by formula for elementary electric dipole: Eθ(ω,r)~ -i-ω-μol∑(ω)-L-G(r- ro,)-sin(θ),

Hθ(ω,r)* ^r

Here Ee, He - electric and magnetic components of the field in spherical coordinates, W0 = -yjμo /εo - wave impedance of phone medium, θ - the angle between cylinder axis and direction to a point of view. To solve the equation the method of successive approximation was used. Using the obtained relations for processes of electromagnetic wave scattering in nonlinear and nonuniform medium, it is possible to determine segnetoelectric antenna gain and parameters of scattered field. At first it is necessary to determine spectral distribution of amplitudes of incident and scattered waves in its dependency on frequency.For this volt-ampere characteristic of investigated nonlinear element of segnetoelectric is needed. Using the formula of transformation and the relations for flat electromagnetic wave and for segnetoelectric permeability /F) = 4π £{ J 3 -βm -E213 we obtain dielectric permeability for antenna medium with the nonlinear disturbance as follows

Where εo(ω) = — ^- - dielectric permeability of medium without

disturbances.

β = 2.7- 10"13 - a constant for Barium titanate, k = ω 'y μ° ' ε°(ω> . wave C number for induced wave; ωi attenuation frequency for induced wave. On the bases of relations obtained spectral characteristic of induced in segnetoelectric electromagnetic field is determined and in the first approximation it is obtained, that the real part of this expression determines the spectral characteristic of the field in medium and the imaginary part characterizes the attenuation of induced in segnetoelectric electromagnetic wave. The ratio of amplitude of induced wave to that of incident wave at the frequency ω = 10GHz defines the gain of a signal: K= 1O lg(E(ω)/Eo) = 20db. Thus theoretical determination of parameters of induced field shows, that though the amplitude of induced field is in two orders higher, than that of incident field, but the signal, induced in antenna by incident wave is too low to be used. The currents and voltages in antenna circuit are very small. This is caused by very high internal impedance of such a schematic. That is why another way of connecting antenna to receiver is needed. In another equivalent schematic the signal to be received is determined by the scattered field. For designing the antenna the amplitude of scattered field must be determined. The curves of dependency of scattered field intensity on frequency at given parameters of medium are shown on Fig.3 The parameters of the medium are as follows: μo:=1.26-1 O"6; σi(w):=2.5-1011; L:=1 . 10"3 ; d:=1.-10"2 ; β:=1. -10"13 The incident field: E0 := 1. -10'5 ; a:= 1.-1015 ; k:= .33- 10"8 w The ordinate of the plot is the intensity of electric field in mV/m, while the abscissa is the frequency of alternate electric field. On Fig.5 it is clearly seen, that intensity of the scattered field is high enough to be used as a source of the signal to be received. If a hundred of segnetoelectric plates are connected in serial, the electric field intensity, in accordance with the formula, will rise a hundred-fold, h. e. will be equal to 1V/m. The gain of such antenna will in two orders exceed that of one plate. It will correspond and even exceed the gain of one meter parabolic antenna.To calculate the signal to be received one should use the equation for magnetic field, induced by electric field Ei(w) in accordance with Maxwell law:

In accordance with the Faraday law, an alternate rotary magnetic field, threading the turn, will induce in it the current, determined by expression

J1 (ω) = k- L d -100- E(ω) / -^

As it is shown, the value of the current, induced by rotary magnetic field, generated by alternate electric field of polarization of segnetoelectric volume of investigated antenna, will be about 0.1 A. This value many times exceeds currents of modern antennas. In Fig.4 there are shown: 1 - force lines of electric field of the incident wave, 2 - segnetoelectric plate, 3 - force lines of induced electric field, 4 - force lines of rotary magnetic field (H-i) of the secondary.electromagnetic wave (E-i), induced by alternate electric field, 5 - surface electric charges (P), excited by electric field of incident electromagnetic wave, 6.- controlling electrodes 7 - the conductive turn in the central hole of segnetoelectric disc. Fig.4 displays physical processes of inducing by rotary magnetic field, generated by alternate electric field of polarization, caused by surface charges of polarization, caused by scattered incident electromagnetic wave, of alternate current in a conductive turn.Thus the design of a television antenna may be represented as segnetoelectric (BaTiOa) disc with control electrodes on the butt end, which are connected to a voltage source. Inside the segnetoelectric electric field intensity is equal to zero Electrically this antenna represents a capacitor, where on the surface of dielectric bonded surface charges are generated by electric field of incident electromagnetic wave. This charges induce in capacitor plates (control electrodes) free charges. The plates are connected via resistance of segnetoelectric. Due to a very low conductivity of segnetoelectrics the resulting current is far too small and the gain of antenna is small too. The value of surface charge, induced on the dielectric surface, depends on on its butt ends area only. This is caused by segnetoelectrics anisotropy. The thickness of a disc is of no importance and it may be taken small enough, no more than one tenth of mm. Then the internal impedance of a capacitor sharply diminishes. It is possible to assemble the antenna of several discs, with control electrodes on each of them. Discs may be connected via these electrodes in serial or in parallel. Serial connection presents a source of a signal of big voltage with high internal impedance and low capacitance. When discs are connected in parallel, the source outputs big current, while its internal impedance is low and capacitance is big. Output signal comprises signals of all discs. Discs number is determined by necessary antenna gain (AG). The wavelength changes of a electromagnetic wave threading the segnetoelectric of antenna depend on its parameters and design. The presented design corresponds with magnetic dipole antenna with the resistor in a turn and additional electric signal, generated by surface charges of segnetoelectric. Another design of an antenna is possible. In that case ohm resistance of a turn is very small but wave impedance is high. Antenna is made of thin segnetoelectric disc with small (10mkm -0.1 mm) hole in the center, strung on a conductive core (turn), interleaved by similar discs of simple non polarized dielectric or of ferrodielectric of high permeability (barium ferrite). The combination of segnetoelectric with ferrite strongly affects the electromagnetic wave, transforming it. Regular nonuniformity of a medium causes the traveling wave effect along the antenna axis. One or many turns of metal wire are put through the central hole of discs. The transformation of bonded surface charges into free charges in a conductor causes, in accordance with Faraday law, alternate electric current in a metal turn. This current represents an input signal, brought by incident wave. The signal amplitude depends on (besides incident wave field intensity) number of segnetoelectric discs and their area. Electrically it may be represented as an external energy source inductively coupled (pos.17) with the central core winding (pos.18 Fig.5B). In determination of number of segnetoelectric discs we shall take for the basis the area of parabolic mirror antenna. Such an antenna obtain as a signal the full energy of radiation in the given bandwidth incident on antenna area. Let us suppose, that in our case we need as a signal the same energy in the same bandwidth. This means, that overall area of all segnetoelectric discs must equal to parabolic antenna area So. Hence it follows, that the number of disc is equal N = So/S Where S - the segnetoelectric disc butt area. The relative gain of two antennas is defined as Ns = k0 / k The term of comparison of efficiency of two comparative antennas is defined as N > = Ns . For segnetoelectric antenna to be as effective as a parabolic dish, the former must provide the same AG as the latter. The AG of a parabolic dish equals 40db. The AG of segnetoelectric antenna of the first design, comprising one disc, equals 20db. Therefore, to even AG of two antennas, we should take 100 segnetoelectric discs. When comparing the areas of these two antennas, we see, that to even them by area 300 discs of 30cm2 each are necessary. But such a quantity is excessive, as far as AG is concerned. If the disc thickness equals 10mcm, the overall antenna length equals 3mm, that is far less than that of the first design antenna. Now the AG of last design segnetoelectric antenna is quite comparable with that of parabolic dish for meter bandwidth. The last design antenna complies with all demands to TV antennas of meter bandwidth.