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Title:
FRACTAL METAMATERIALS AND DIRECTIONAL ANTENNAS
Document Type and Number:
WIPO Patent Application WO/2019/100013
Kind Code:
A1
Abstract:
Systems according to the present disclosure provide one or more surfaces that function as power radiating surfaces for which at least a portion of the radiating surface includes or is composed of "fractal cells" placed sufficiently closed close together to one another so that a surface wave causes near replication of current present in one fractal cell in an adjacent fractal cell. The fractal cells may lie on a flat or curved sheet or layer and be composed in layers for wide bandwidth or multibandwidth transmission. The area of a surface and its number of fractals determines the gain relative to a single fractal cell. The boundary edges of the surface may be terminated resistively so as to not degrade the cell performance at the edges. Fractal plasmonic surface cards are described.

Inventors:
THISTLE RYAN (US)
SALKIND PHILIP (US)
COHEN NATHAN (US)
Application Number:
PCT/US2018/061842
Publication Date:
May 23, 2019
Filing Date:
November 19, 2018
Export Citation:
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Assignee:
FRACTAL ANTENNA SYSTEMS INC (US)
THISTLE RYAN (US)
SALKIND PHILIP (US)
International Classes:
H02J50/12; F28F7/00; H01Q1/36
Foreign References:
US20170003086A12017-01-05
Other References:
TRINH-VAN ET AL.: "A Wideband Circularly Polarized Pixelated Dielectric Resonator Antenna", SENSORS, vol. 2016, 23 August 2016 (2016-08-23), pages 1 - 7, XP55611597, Retrieved from the Internet [retrieved on 20181231]
KEYROUZ ET AL.: "Dielectric Resonator Antennas: Basic Concepts, Design Guidelines, and Recent Developments at Millimeter-Wave Frequencies", INTERNATIONAL JOURNAL OF ANTENNAS AND PROPAGATION, vol. 2016, October 2009 (2009-10-01), pages 1 - 21, XP55611600, Retrieved from the Internet [retrieved on 20181231]
Attorney, Agent or Firm:
MCCLOSKEY, Matthew G. (US)
Download PDF:
Claims:
CLAIMS

What is claimed is:

1. An electromagnetic radiating system providing gain over a prescribed

bandwidth, the system comprising:

a plurality of fractal cells comprising a fractal plasmonic surface (FPS) wherein the plurality of fractal cells is operative to produce a gain increase of a separate electromagnetic source through the production and propagation of a surface wave on and along the surface of the FPS;

wherein the gain increase is proportional to the area of the FPS;

wherein in operation the surface wave propagates over the area of the FPS and then radiates directionally as an electromagnetic wave or waves in free space.

2. The electromagnetic radiative system of claim 1, further comprising a driving antenna configured as a source to supply electromagnetic energy to the FPS.

3. The electromagnetic radiative system of claim 2, wherein the FPS is arranged with its length parallel to the driving antenna·

4. The electromagnetic radiative system of claim 2, wherein the FPS is arranged with its height parallel to the driving antenna.

5. The electromagnetic radiative system of claim 1, wherein the FPS includes two or more FPS cards.

6. The electromagnetic radiative system of claim 5, wherein the FPS cards are not parallel to one another.

7. The electromagnetic radiative system of claim 1, wherein the FPS comprises a curved surface.

8. The electromagnetic radiative system of claim 1, wherein the FPS comprises a plurality of curved surfaces.

9. A transceiver unit comprising:

a transmitter;

a receiver; and

the electromagnetic radiative system of claim 1.

10. The transceiver unit of claim 9, wherein the FPS includes two or more FPS cards.

11. A garment or suit including a section described by the electromagnetic radiating system of claim 5.

12. A sheath or covering including the electromagnetic radiating system of claim 5.

13. A radome including a section the electromagnetic radiating system of claim 5.

Description:
FRACTAL METAMATERIALS AND DIRECTIONAL

ANTENNAS

BACKGROUND

Effective thermal management is a concern in many industries and for various types of consumer goods. For example, heat build-up in a computer's central processing unit (CPU) can degrade the computer's performance just as heat build-up (or“heat soak”) in an automobile's brakes or engine can degrade the automobile's performance. Many machines and devices have performance limits that are often defined by how well heat developed during operation is managed. Such heat build-up is often a byproduct of power transmission and use.

Some common thermal management techniques rely on convective heat transfer. Convective heat transfer, often referred to simply as convection, is the transfer of heat from one place to another by the movement of fluids. Convection is usually the dominant form of heat transfer in liquids and gases. Convection can be “forced” by movement of a fluid by means other than buoyancy forces (for example, a water pump in an automobile engine). For machinery and electronic components, convective cooling is typically employed.

A heat pipe or heat pin is a heat - transfer device that combines the principles of both thermal conductivity and phase transition to efficiently manage the transfer of heat between two solid interfaces. At the hot interface of a heat pipe a liquid in contact with a thermally conductive solid surface turns into a vapor by absorbing heat from that surface. The vapor then travels along the heat pipe to the cold interface and condenses back into a liquid— releasing the latent heat. The liquid then returns to the hot interface through either capillary action or gravity, and the cycle repeats. Consumer electronics such as personal computers often utilized heat pipes for cooling a central processing unit. Since they rely on fluids as media to transport heat, such convective and heat-pipe cooling techniques can present issues relating to management (e.g., containment and pumping) of the fluids, and may not be appropriate for some applications.

Thermoelectric cooling employs the Peltier effect to create a heat flux between or at the junction of two different types of materials. The Peltier effect is the presence of heating or cooling at an electrified junction of two different conductors and is named for French physicist Jean Charles Athanase Peltier, who discovered it in 1834. When a current is made to flow through a junction between two conductors A and B, heat may be generated (or removed) at the junction. A Peltier cooler, heater, or thermoelectric heat pump is a solid-state active heat pump which transfers heat from one side of the device to the other, with consumption of electrical energy, depending on the direction of the current. Such an instrument is also called a Peltier device, Peltier heat pump, solid state refrigerator, or thermoelectric cooler (TEC). They can be used either for heating or for cooling (refrigeration) although in practice the main application is to cooling. It can also be used as a temperature controller that either heats or cools.

Thermoelectric cooling is reliant on supplied electricity for the cooling effect and consequently may not be desirable for some applications.

SUMMARY

The present disclosure is directed to systems and techniques that provide for desired transfer of radiation by using close packed arrangements of resonators having fractal shapes, i.e.,“fractal cells.” Systems and techniques according to the present disclosure provide one or more surfaces that act or function as heat or power radiating surfaces for which at least a portion of the radiating surface includes or is composed of metamaterial resonators, which can include fractal cells (small fractal shapes), as antennas or resonators placed sufficiently closed close together to one another (e.g., less than a wavelength such as 1/20 wavelength) so that a surface (plasmonic) wave causes near replication of current present in one fractal cell in an adjacent fractal cell. A fractal of such a fractal cell can be of any suitable fractal shape and may have two or more iterations. The fractal cells may lie on a flat or curved sheet or layer and be composed in layers for wide bandwidth or multi-bandwidth transmission. The area of a surface (e.g., sheet) and its number of fractals determines the gain relative to a single fractal cell. As each cell is fed plasmonicly rather than directly,“dead” or covered or out of resonance cells do not alter the ability of the other cells to work. The boundary edges and/or portions of the area of a surface (on either side) may be terminated resistively (have resistive material(s) applied of included) so as to not degrade the cell performance at the edges. The surfaces may be referred to as fractal plasmonic surfaces (FPS's), when the metamaterials include or are composed of fractal cells, and can provide benefits for thermal management and / or power delivery.

Such a metamaterial, e.g., fractal plasmonic surface (FPS), may be used to transfer radiation, e.g., via evanescent wave transfer. In doing so such surfaces can be used to remove radiative power and/or heat from one location to another, or divert it to another location. Such surfaces may be used to essentially diffuse power delivered to a part of the FPS and dissipate and or distribute it to other specific parts or globally. Heat for example, may be dissipated in this way, or a power“hotspot” supplied or hit with localized power may have the power spread out or diverted to other desired locations, e.g., different areas of a related machine or structure. In some embodiments, a FPS on a closed or curved surface may act as a cloaking device to divert power (in a wavelength or frequency of interest) from one side of the device to the other. In other embodiments, a refrigeration or cooling effect may be induced by transferring heat away from a FPS.

Exemplary embodiments of the present disclosure can provide techniques, including systems and/or methods, for cloaking objects at certain

wavelengths/frequencies or over certain wavelength/frequency ranges (bands). Such techniques can provide an effective electromagnetic lens and/or lensing effect for certain wavelengths/frequencies or over certain wavelength/frequency ranges (bands).

In some embodiments, the effects produced by such techniques can include cloaking or so-called invisibility of the object(s) at the noted wavelengths or bands. Representative frequencies of operation can include, but are not limited to, those over a range of 500 MHz to 1.3 GHz, though others may of course be realized. Operation at other frequencies, including for example those of visible light, infrared, ultraviolet, and as well as microwave EM radiation, e.g., K, Ka, X-bands, etc., may be realized, e.g., by appropriate scaling of dimensions and selection of shape of the resonator elements.

Exemplary embodiments of the present disclosure can include a novel arrangement of resonators in a lattice like configuration. The arrangements can include resonators of several different sizes and/or geometries arranged so that each size or geometry (“grouping”) corresponds to a moderate or high quality factor,“Q,” (that is moderate or low bandwidth) response that resonates within a specific frequency range.

For exemplary embodiments, fractal resonators can be used for the resonators in such structures because of their control of passbands, and smaller sizes compared to non-fractal based resonators. Their benefit arises from a size standpoint because they can be used to shrink the resonator(s), while control of passbands can reduce or eliminates issues of harmonic passbands that would resonate at frequencies not desired.

Further embodiments of the present disclosure are directed to scatterer or scattering structures. Additional embodiments of the present disclosure are directed to structures/techniques for activating and/or deactivating cloaking structures. Further embodiments of the present disclosure are directed to wideband absorbers.

It should be understood that other embodiments of FPS systems and methods according to the present disclosure will become readily apparent to those skilled in the art from the following detailed description, wherein exemplary embodiments are shown and described by way of illustration. The systems and methods of the present disclosure are capable of other and different embodiments, and details of such are capable of modification in various other respects. Accordingly, the drawings and detailed description are to be regarded as illustrative in nature and not as restrictive. These, as well as other components, steps, features, objects, benefits, and advantages, will now become clear from a review of the following detailed description of illustrative embodiments, the accompanying drawings, and the claims. BRIEF DESCRIPTION OF THE DRAWINGS

The drawings are of illustrative embodiments. They do not illustrate all embodiments. Other embodiments may be used in addition or instead. Details that may be apparent or unnecessary may be omitted to save space or for more effective illustration. Some embodiments may be practiced with additional components or steps and/or without all of the components or steps that are illustrated. When the same numeral appears in different drawings, it refers to the same or like components or steps. Aspects of the disclosure may be more fully understood from the following description when read together with the accompanying drawings, which are to be regarded as illustrative in nature, and not as limiting. The drawings are not necessarily to scale, emphasis instead being placed on the principles of the disclosure. In the drawings:

FIG. 1 depicts a diagrammatic plan view of a fractal plasmonic surface (FPS), in accordance with exemplary embodiments of the present disclosure;

FIG. 2 depicts a diagrammatic plan view of a resonator cloaking system utilizing a number of cylindrical shells, in accordance with exemplary embodiments of the present disclosure;

FIG. 3 depicts a diagrammatic plan view of a resonator cloaking system utilizing a number of shells having an elliptical cross-section, in accordance

FIGS. 4 A, 4B, and 4C depict an example of a FPS in three different configurations, shown in views (A) - (C);

FIG. 5 illustrates the robustness or anti-fragility presented by a FPS under conditions where some fractal cells are damaged or otherwise inoperative;

FIG. 6 depicts an example of a FPS used to dissipate incident radiation;

FIG. 7 depict an example of a FPS card, in accordance with exemplary embodiments of the present disclosure; and

FIG. 8 shows a further embodiment of FPS card, in accordance with the present disclosure. FIG. 9 shows a side view of the embodiment of FIG. 8;

FIG. 10 shows a comparison of a FPS card to a conventional Yagi-Uda antenna;

FIG. 11 shows a two-card embodiment, in accordance with the present disclosure;

FIG. 12 shows a two-card embodiment in a fanned configuration, in accordance with the present disclosure;

FIG. 13 shows a FPS card having a support structure, in accordance with exemplary embodiments of the present disclosure; and

FIG. 14 shows a comparison of the gain of a FPS card compared to a Yagi- Uda antenna.

While certain embodiments are depicted in the drawings, one skilled in the art will appreciate that the embodiments depicted are illustrative and that variations of those shown, as well as other embodiments described herein, may be envisioned and practiced within the scope of the present disclosure.

DETAILED DESCRIPTION

Systems and techniques according to the present disclosure provide for desired transfer of radiation by using closely-packed arrangements of resonators having fractal shapes, i.e.,“fractal cells.” Systems and techniques according to the present disclosure provide one or more surfaces that act or function as heat or power radiating surfaces for which at least a portion of the radiating surface includes or is composed of“fractal cells”— small fractal shapes acting as antennas or resonators— placed sufficiently close to one another (e.g., less than 1/20 wavelength) so that a surface (plasmonic) wave causes near replication of current present in one fractal cell in an adjacent fractal cell. A fractal of such a fractal cell can be of any suitable fractal shape and may have two or more iterations. The fractal cells may lie on a flat or curved sheet or layer and be composed in layers for wide bandwidth or

multibandwidth transmission. The area of a surface (e.g., sheet) and its number of fractals determines the gain relative to a single fractal cell. As each cell is fed plasmonicly rather than directly,“dead” or covered or out of resonance cells do not alter the ability of the other cells to work. The boundary edges of the surface may be terminated resistively so as to not degrade the cell performance at the edges. These surfaces may be referred to as fractal plasmonic surfaces (FPS's).

Such a fractal plasmonic surface (FPS) may be used to transfer radiation, e.g., via evanescent wave transfer. In doing so such surfaces can be used to remove radiative power and / or heat from one location to another, or divert it to another location. Such surfaces may be used to essentially diffuse power delivered to a part of the FPS and dissipate and or distribute it to other specific parts or globally. Heat for example, may be dissipated in this way, or a power“hotspot” supplied or hit with localized power may have the power spread out or diverted to other desired locations, e.g., different areas of a related machine or structure. In some embodiments, a FPS on a closed or curved surface may act as a cloaking device to divert power in a wavelength or frequency of interest) from one side of the device to the other. In other embodiments, a refrigeration or cooling effect may be induced by transferring heat away from a FPS.

In some embodiments, power control may also be achieved through wideband absorption by placing a resistive sheet at the edge of the fractal cells, creating a layer adjacent to the cells. Impinging electromagnetic radiation will be absorbed and not reflected or scattered. A FPS may be used to wireless couple a device for power transmission by placing the power as electromagnetic radiation on the FPS and then physically placing the (to be) powered device closely to the FPS. A FPS may also work even if some of the cells are damaged or missing as a variety of paths exists to convey the plasmonic transmission. A FPS may also be used to diffuse power away from one location to another or dissipate it so as to decrease "hotspots.” Heating and cooling as a wideband speed of light heat - like pipe may also be done with the FPS.

Exemplary embodiments of the present disclosure can provide techniques, including systems and/or methods, for cloaking objects at certain

wavelengths/frequencies or over certain wavelength/frequency ranges (bands). Such techniques can provide an effective electromagnetic lens and/or lensing effect for certain wavelengths/frequencies or over certain wavelength/frequency ranges (bands). In some embodiments, the effects produced by such techniques can include cloaking or so-called invisibility of the object (s) at the noted wavelengths or bands.

Representative frequencies of operation can include, but are not limited to, those over a range of 500 MHz to 1.3 GHz, though others may of course be realized. Operation at other frequencies, including for example those of visible light, infrared, ultraviolet, and as well as microwave EM radiation, e.g., K, Ka, X-bands, etc., may be realized, e.g., by appropriate scaling of dimensions and selection of shape of the resonator elements. Other exemplary embodiments may be configured for use within 5G bands and/or automotive communication and/or radar bands. Further examples include but are not limited to FR1 (~ or < 6GHz, e.g., 600 MHz to 6 GHz) and FR2 (mmWave) or 24-28 GHz and/or 39 GHz, e.g., as defined by 3GPP. Exemplary embodiments of the present disclosure can include a novel arrangement of resonators in a lattice like configuration. The arrangements can include resonators of several different sizes and/or geometries arranged so that each size or geometry (“grouping”) corresponds to a moderate or high quality factor,“Q," (that is moderate or low bandwidth) response that resonates within a specific frequency range.

Exemplary embodiments of FPS and/or metasurface-based structures may be designed for use at certain frequencies used in automotive radar applications. For example, a FPS according to the present disclosure may be configured for operation at 24 GHz, e.g., as coinciding with so-called short-range radar (“SRR”). At 24 GHz, the operational wavelength is approximately 12.5 mm (or, 0.5 inches), which can be used then to design the size and separation distance used for the FPS or metasurface features. As another example, a FPS structure according to the present disclosure may be configured for operation at 77 GHz or within the range of 76-81 GHz, e.g., as coinciding with SRR, so-called medium-range radar (“MRR”), and/or so-called long- range radar (“LRR”). At 77 GHz, the operational wavelength is approximately 4 mm (or 0.157 inches), which can be used then to design the size and separation distance used for the FPS or metasurface features.

A characteristic dimension of each resonator or cell used for a FPS or metasurface-based (metasurface) structure can be derived from or based on an operational wavelength of incident radiation, e.g., such as that from an automotive radar system (e.g., within the range of wavelengths from about 3 mm to about 13 mm). For example, assuming an operational wavelength of 4 mm (similar to that of a SRR system), a characteristic dimension of a cell within the FPS or metasurface or structure could be 0.5 mm (i.e., 1/8 of a wavelength, or lambda). Using an operational wavelength of 12.5 mm, a characteristic dimension of a cell within the FPS or metasurface or structure could be 3.125 mm (i.e., 1/8 of a wavelength, or lambda). Of course, other values can be used for a characteristic dimension (e.g., major or minor axis, diameter, height, etc.) of a cell or resonator vis-a-vis an operational wavelength. For example, a cell or resonator may have a characteristic dimension (e.g., major or minor axis, diameter, height, etc.) on the order of the operational wavelength (or for a range of wavelengths, a wavelength within or at a bound of the range). For further example, a cell or resonator may characteristic dimension of about ½, 1/3, ¼, 1/5, 1/6, 1/7, 1/9, 1/10, etc. of the operational wavelength (or for a range of wavelengths, a wavelength within or at a bound of the range). For further example, other values may be used for a characteristic dimension of a cell or resonator of a FPS or metasurface. Metasurfaces can accordingly be designed for operation with particular wavelengths or frequency bands of incident radiation, e.g., LRR, MRR, and/or SRR automotive radar bands.

Cells or resonators of a FPS or metasurface-based structure are preferably separated by a separation distance that is a fraction of an operational wavelength or nominal wavelength of an automotive radar system. Examples of such a separation distance can include, but are not limited to, ¾, 2/3, ½, l/,3, ¼, 1/5, 1/6, 1/7, 1/8, 1/9, 1/10, 1/11, 1/12, 1/20, etc. of the operational wavelength (or for a range of wavelengths, a wavelength within or at a bound of the range). For further example, other values may be used for the separation distance or separation distances of a FPS or metasurface; a distribution of resonators or cells within a FPS or metasurface need not be uniform and can have a non-uniform spatial distribution. Metasurfaces can accordingly be designed for operation with particular wavelengths or frequency bands of incident radiation, e.g., LRR, MRR, and/or SRR automotive radar bands.

For exemplary embodiments, fractal resonators can be used for the resonators in such structures because of their control of passbands, and smaller sizes compared to non-fractal based resonators. Their benefit arises from a size standpoint because they can be used to shrink the resonator(s) while control of passbands can reduce or eliminates issues of harmonic passbands that would resonate at frequencies not desired.

Further embodiments of the present disclosure are directed to scatterer or scattering structures. Additional embodiments of the present disclosure are directed to structures/techniques for activating and/or deactivating cloaking structures.

Related fractal technology is described in the following: (i) U.S. Provisional Patent Application No. 61/163,824, filed 26 Mar. 2009 and entitled “Cloaking Techniques”; (ii) U.S. Provisional Patent Application No. 61/163,837, filed 26 Mar. 2009 and entitled“Scatterer”; (iii) U.S. Provisional Patent Application No. 61/163,913, filed 27 Mar. 2009 and entitled "Cloaking Techniques”; and, (iv) U.S. Provisional Patent Application No. 61/237,360, filed 27 Aug. 2009 and entitled “Switching System for Cloak On Command”; the entire contents of all of which applications are incorporated herein by reference.

For exemplary embodiments, fractal resonators can be used for the resonators because of their control of passbands, and smaller sizes. A main benefit of such resonators arises from a size standpoint because they can be used to shrink the resonator(s), while control of passbands can reduce/mitigate or eliminate issues of harmonic passbands that would resonate at frequencies not desired.

Exemplary embodiments of a resonator system for use at infrared (or nearby) frequencies can be built from belts or loops having fractal cells on one or both sides. These belts or loops can function to slip the infrared (heat) energy around an object located within the belts, so the object is effectively invisible and“see thru” at the infrared frequencies. Belts, or shells (or ribbons or strips), having similar closed- packed arrangements for operation at a first passband can be positioned within a wavelength of one another, e.g., 1/20, 1/16, 1/14, 1/12, 1/10, 1/8, 1/6, 1/5, 1/4, 1/3, ½ of lambda, etc.

In cloak embodiments, as described in further detail below, an observer can observe an original image or signal, without it being blocked by the cloaked object. Using no power, the fractal cloak having FPS can replicate the original signal (that is, the signal before blocking) with great fidelity. Exemplary embodiments can function in the infrared region (e.g., ~ 700 nm to ~ 1 mm, corresponding to ~ 430 THz to - 300 GHz), providing 3:1 bandwidth; operation within or near such can frequencies can provide other bandwidths as well, such as 1:1 up to 2:1 and up to about 3:1.

FIG. 1 depicts a radiative system 100 having a fractal plasmonic surface (FPS), in accordance with the present disclosure. The FPS 102 includes close packed arrangements of resonators having fractal shapes (e.g.,“fractal cells”) as denoted by 110 and 120. The FPS 102 may be part of a larger surface or area 104. The individual fractal cells are separated from the adjacent fractal cells but are sufficiently close to one another (e.g., less than 1/20 wavelength) so that a surface (plasmonic) wave causes near replication of current present in one fractal cell in an adjacent fractal cell. While preferred fractal shapes are shown in FIG. 1 as being hexagonal or snowflake like, any suitable fractal shape (e.g., deterministic) maybe used and such a fractal may have two or more iterations. The fractal cells may lie on a flat or curved sheet or layer and be composed in layers for wide bandwidth or multibandwidth transmission. Each layer holding a FPS can utilize fractal cells of different size and shape that those of another layer.

Examples of suitable fractal shapes ( for use for shells and / or a scatting object ) can include , but are not limited to , fractal shapes described in one or more of the following patents , owned by the assignee of the present disclosure , the entire contents of all of which are incorporated herein by reference : U.S. Pat. No. 6, 452,553; U.S. Pat. No. 6,104,349; U. S. Pat. No. 6,140, 975; U. S. Pat. No. 7,145,513; U.S. Pat. No. 7,256,751; U. S. Pat. No. 6,127,977; U. S. Pat. No. 6,476,766; U. S. Pat. No. 7,019,695; U. S. Pat. No. 7,215,290; U. S. Pat. No. 6,445,352; U. S. Pat. No. 7,126,537; U. S. Pat. No. 7,190,318; U. S. Pat. No. 6,985,122; U. S. Pat. No.

7,345,642; and, U.S. Pat. No. 7,456,799.

Other suitable fractal shape for the resonant structures can include any of the following: a Koch fractal, a Minkowski fractal, a Cantor fractal, a tom square fractal, a Mandelbrot, a Caley tree fractal, a monkey's swing fractal, a Sierpinski gasket, and a Julia fractal, a contour set fractal, a Sierpinski triangle fractal, a Menger sponge fractal, a dragon curve fractal, a space-filling curve fractal, a Koch curve fractal, a Lypanov fractal, and a Kleinian group fractal. While exemplary fractal shapes are shown in FIG. 1, the present disclosure is not limited to such and any other suitable fractal shapes (including generator motifs) may be used in accordance with the present disclosure.

The fractal cells 110 and 120 can be formed on the FPS 102 by any suitable techniques. Such techniques can include additive and/or subtractive techniques. Suitable lithography techniques may be used for some embodiments. In exemplary embodiments, the fractal shapes of the fractal cells 110 and 120 can be conductive traces that are deposited on the underlying surface, e.g., a suitable substrate. Any suitable deposition techniques can be utilized. In other embodiments, the fractal cells 110 and 120 can be etched or engraved onto a surface. Any suitable micromachining or nanomachining techniques may be used.

Exemplary embodiments of system 100 can utilize a material for a substrate that has low-loss characteristics in the infrared region to facilitate heat transfer by fractal cells disposed on, disposed in, or supported by the substrate, e.g., on a supporting surface provided by the substrate. Examples of suitable materials for such substrates can include, but are not limited to, the following: chalcogenide-glasses in general; high-purity As-S, As Se, Ge -As-Se glasses; and, Ge oAsioSe oTe 3 o glass, and the like.

FIG. 2 depicts a diagrammatic plan view of a cloaking system 200 and RF testing set up in accordance with exemplary embodiments of the present disclosure.

As shown in FIG. 2, a number of concentric shells (or bands) 202 are placed on a platform (parallel to the plane of the drawing). The shells include a flexible substrate (e.g., polyimide with or without composite reinforcement) with conductive traces (e.g., copper, silver, etc.) in fractal shapes or outlines. The shells 202 surround an object to be cloaked (shown as 204 in FIG. 1). A transmitting antenna 1 and a receiving antenna 2 are configured at different sides of the system 200, for the purposes of illustration. The shells 202 can be held in place by radial supports 206.

The shells indicated in FIG. 2 are of two types, one set (Al - A4) configured for optimal operation over a first wavelength/frequency range, and another set (Bl - B3) configured for optimal operation over a second wavelength /frequency range. (The numbering of the shells is of course arbitrary and can be reordered, e.g., reversed). For an exemplary embodiment of system 200 , the outer set of shells (Al- A4 , with Al being the innermost and A4 the outmost) had a height of about 3 to 4 inches (e.g., 3.5 inches) and the inner set of shells had a height of about 1 inch less (e.g., about 2.5 to 3 inches). The spacing between the shells with a larger fractal shape (A1-A4) was about 2.4 cm while the spacing between shells of smaller fractal generator shapes (Bl - B3) was about 2.15 cm (along a radial direction). In a preferred embodiment, shell A4 was placed between shell B2 and B3 as shown. The resonators formed on each shell by the fractal shapes can be configured so as to be closely coupled (e.g., by capacitive and/or evanescent wave coupling) and function to propagate energy by a plasmonic wave.

It will be appreciated that while two types of shells and a given number of shells per set are indicated in FIG. 2, the number of shell types and number of shells for each set can be selected as desired, and may be optimized for different applications, e.g., wavelength/frequency bands, including the optical bands, i.e., infrared, visible, and ultraviolet, as well as X-ray.

FIG. 3 depicts a diagrammatic plan view of a cloaking system (or electrical resonator system) according to an alternate embodiment in which the individual shells have an elliptical cross section. As shown in FIG. 3, a system 300 for cloaking can include a number of concentric shells (or bands) 302. These shells can be held in place with respect to one another by suitable fixing means, e.g., they can be placed on a platform (parallel to the plane of the drawing) and/or held with a frame. The shells 302 can include a flexible substrate (e.g., polyimide with or without composite reinforcement) with a close-packed arrangement of electrically conductive material formed on the first surface. As stated previously for FIG. 2, the closed- packed arrangement can include a number of self-similar electrical resonator shapes. The resonator shapes can be made from conductive traces (e.g., copper, silver, gold, silver-based ink, etc.) having a desired shape, e.g., fractal shape, split-ring shape, and the like. The shells 302 can surround an object to be cloaked, as indicated in FIG. 3.

As indicated in FIG. 3 (by dashed lines 1 and 2 and arrows), the various shells themselves do not have to form closed surfaces. Rather, one or more shells can form open surfaces. This can allow for preferential cloaking of the object in one direction or over a given angle (solid angle). Moreover, while dashed lines 1 and 2 are shown intersecting shells Bl - B3 and Al - A3 of system 300, one or more shells of each group of shells (B1-B3 and A1-A3) can be closed while others are open.

Additionally, it should be appreciated that the cross-sections shown for each shell can represent closed geometric shapes, e.g., spherical and ellipsoidal shells.

As indicated previously, each shell of a cloaking system (e.g., system 300) can include multiple resonators in one or multiple close-packed configurations. The resonators can be repeated patterns of conductive traces. These conductive traces can be closed geometric shapes, e.g., rings, loops, closed fractals, etc. The resonator(s) can be self-similar, e.g., to at least second iteration. The resonators can include split ring shapes, for some embodiments. The resonant structures are not required to be closed shapes, however, and open shapes can be used for such.

In exemplary embodiments of shell 300, the closed loops can be configured as fractals or fractal-based shapes, e.g., as depicted by fractal cells 110 and 120 in FIG. 1. The dimensions and type of a fractal shape for a fractal cell can be the same for each shell type but can vary between shell types. This variation (e.g., scaling of the same fractal shape) can afford increased bandwidth for the cloaking characteristics of the system. This can lead to periodicity of the fractal shapes of common shell types but aperiodicity between the fractal shapes of different shell types.

It will be appreciated that the resonant structures of the shells may be formed or made by any suitable techniques and with any suitable materials. For example, semiconductors with desired doping levels and dopants may be used as conductive materials. Suitable metals or metal containing compounds may be used. Suitable techniques may be used to place conductors on/in a shell, including, but not limited to, printing techniques, photolithography techniques, etching techniques , and the like .

It will also be appreciated that the shells may be made of any suitable material(s). Printed circuit board materials may be used. Flexible circuit board materials are preferred. Other material may, however, be used for the shells and the shells themselves can be made of noncontinuous elements, e.g., a frame or framework. For example, various plastics may be used. In exemplary embodiments, the underlying surface or substrate on which a FPS is formed can have low loss with respect to the type of radiation that the FPS is designed for, so as to facilitate the intended heat and/or power transfer or dissipation.

Exemplary embodiments of the present disclosure can provide techniques, including systems and/or methods, for providing a radar cross section of different sizes than as would otherwise be dictated by the physical geometry of an object. Such techniques (objects/methods) can be useful for implementations such as radar decoys where a given object (decoy) is made to appear in radar cross section as like another object (e.g., missile). Representative frequencies of operation can include those over a range of 500 MHz to 1.3 GHz, though others may of course be realized. Other frequencies, include those of visible light may be realized, e.g., by appropriate scaling of dimensions and selection of shape of fractal elements.

FIG. 4 depicts an example of a FPS 400 in three different configurations, shown in views (A)-(C). In view (A), the FPS 400A is shown physically coupled between two objects, a hot object and a colder object. Heat, in the form of radiative infrared energy, flows from the hot object to the colder object via plasmonic coupling between fractal cells 402 of the FPS 400A.

In view (B), a configuration of FPS 400B is shown having resistive ends 404 in addition to the fractal cells 402. The resistive ends 404 may be made of any suitable resistive material and my any suitable techniques. Such resistive ends may be useful for power dissipation in some applications. View (C) of FIG. 4 shows another embodiment of FPS 400C that has a resistive layer or edge 406 instead of the resistive ends 404 shown previously (though both such resistive elements may be used for a single FPS).

FIG. 5 illustrates the robustness or anti-fragility presented by a FPS 500 under conditions where some fractal cells are damaged or otherwise inoperative. As show, FPS 500 has a close-packed arrangement of fractal cells, indicated by circles 502. The close-packed arrangement provides many paths by which energy may be transferred from one area of the FPS to another, even in the presence of damaged or otherwise inoperative fractal cells (represented by the black squares shown). FIG. 6 depicts an example of a FPS 600 used to dissipate incident radiation, which may be directed radiation of high intensity or fluence. As shown, radiation that is incident on a localized area of the FPS 600 is dissipated (indicated by concentric rings) across the surface of the FPS 600 via plasmonic coupling and radiative transfer between the fractal cells 602 of the FPS 600.

The lensing action previously mentioned can be advantageously utilized for directional antennas, in exemplary embodiments of the present disclosure. FIGS. 7-13 show examples of FPS cards useful as directional antenna antennas.

FIG. 7 shows an embodiment of a FPS card 700 in accordance with the present disclosure. A driving antenna 701 is shown in relation to a fractal plasmonic surface (FPS) 702, which may be configured as a closed loop, as shown, or may be a surface that is not a closed loop. FP2 702 is shown having a plurality of closely- packed cells or resonators, e.g., 704(l)-(2). The FPS 702 can be configured so that the FPS is closely spaced and parallel to the exciting driven antenna element (driver antenna or source) 701, which, for example, can be a dipole. It will be noted that driving antenna 701 is not limited to a dipole. The FPS 702 may resemble a“card” whose edge is closely spaced to be less than, e.g., approximately 1/10* of a wavelength from the exciting dipole 701 or other exciting antenna element.

Furthermore the FPS 702 may either be a single layer or may be a manifold which wraps upon itself and constitutes a closed surface presenting an edge toward the driving antenna 702. By placing the FPS card 700/702 in such an end-fire

configuration, a substantial evanescent surface wave can be generated, which furthermore produces a substantial gain in a unidirectional fashion (noted by D). Thus the FPS card 700 can acts as an end-fire lens to the exciting antenna element 701.

Because such FPS“cards” employ and take advantage of surface waves, it will be appreciated that the configuration of the FPS card need not be planar. FIGS. 8- 9 show an embodiment where a FPS card 800 is curved to a 90° curvature allowing the surface wave, with substantial gain and directionality, to route around an obstruction. As shown, a driving antenna 801 is placed close to an edge of a FPS 802 that is configured as a closed surface (or loop) having a plurality of fractal resonators. Thus embodiments of the present disclosure can provide high-gain directional antennas (or FPS cards) that have one or more surfaces that can be routed in a non- planar arrangement, to place the directional gain in a spatial orientation that may be far different than that of the exciting antenna, via this waveguide-like action. Thus the FPS card acts as both a lensing device and a flexible waveguide, a unique electronic and electromagnetic device. FIGS. 8-9 show a blocking plate S. The embodiment shown was tested and its end-fire operation was measured and verified, even in the presence of the blocking plate S. It will be appreciated that a Yagi-Uda antenna is incapable of this attribute.

Although prior art parasitic directional antenna approaches (e.g., Yagi-Uda antenna) are known, such prior approaches have not made use of a high gain surface wave. In particular, in comparison to a standard Yagi-Uda directional antenna, a FPS card— with its lens like action from a substantial surface wave— can be far smaller in size than the Yagi-Uda of comparative gain and bandwidth. FIG. 10 shows the clear advantage in size reduction of FPS card 1000 in comparison to a Yagi-Uda antenna of comparable gain and bandwidth.

FPS cards may allow the transmission of a directional antenna to be routed to the outside from a handheld or portable device, without the need for the actual related exciting antenna and/or transceiver unit to be oriented or placed at that position or location. It will also be appreciated that the ability to route (or act as a waveguide) may be shared with more than one FPS card, affording more than one directional“beam” of the antenna system, and with versatile control of the spatial orientation of the beam. FIG. 11 shows a two-card embodiment 1100 in which two FPS cards 1102 and 1104 are configured next to one another. FIG. 12 depicts another two-card embodiment 1200 in which two FPS cards 1202 and 1204 are in a splayed or fanned configuration for increased beamwidth.

Furthermore, exemplary embodiments of an FPS card may be flexible and built into clothing or other coverings (for example, a sheath or radome) to allow control of such routing in otherwise unexpected form factors. The FPS card may itself be flexible and may be configured as a ribbon or cable, in some embodiments. Embodiments may be built or constructed with or on one or more transparent substrates (e.g., clear plastic) to minimize obstruction of viewing. A polar plot 1220 showing performance of single and double board configurations is shown. It will be appreciated that a FPS card system, when used for high gain and directionality has substantial (greater than 20%) bandwidth (e.g., at half-power or FWHM), and may additionally incorporate a reflecting background for further gain and or directionality.

It will be appreciated that the gain of a FPS results from its area, and is not limited to a specific elongated planar arrangement as seen with a Yagi-Uda antenna· For example, substantially identical gain and directivity attributes are achieved by having the FPS card or FPS cards oriented relative to the separate electromagnetic source (e.g., a dipole) along a height edge rather than a length edge, for example.

FIG. 13 depicts a FPS card 1300 having an integrated support structure, in accordance with exemplary embodiments of the present disclosure. FPS surface 1302 is shown adjoined to integrated support structure 1306, which receives feed 1304.

FIG. 14 shows a comparison plot 1400 of the gain of the FPS card compared to the Yagi-Uda antenna of FIG. 10. The far shorter“boom” length— size, physical extent, or form factor— of the FPS is evident.

While embodiments are shown and described herein as having shells in the shape of concentric rings (circular cylinders), shells can take other shapes in other embodiments. For example, one or more shells could have a generally spherical shape (with minor deviations for structural support). In an exemplary embodiment, the shells could form a nested arrangement of such spherical shapes, around an object to be shielded (at the targeted/selected frequencies/wavelengths). Shell cross-sections of angular shapes, e.g., triangular, hexagonal, while not preferred, may be used. While cards are described herein in the context of having fractal resonators, non- fractal resonators may be used within the scope of the present disclosure. Such cards may be considered as metamaterial cards.

One skilled in the art will appreciate that embodiments and/or portions of embodiments of the present disclosure can be implemented in/with computer-readable storage media (e.g., hardware, software, firmware, or any combinations of such), and can be distributed and/or practiced over one or more networks. Steps or operations (or portions of such) as described herein, including processing functions to derive, learn, or calculate formula and/or mathematical models utilized and/or produced by the embodiments of the present disclosure, can be processed by one or more suitable processors, e.g., central processing units (“CPUs”) implementing suitable

code/instructions in any suitable language (machine dependent or machine independent).

While certain embodiments and/or aspects have been described herein, it will be understood by one skilled in the art that the methods, systems, and apparatus of the present disclosure may be embodied in other specific forms without departing from the spirit thereof.

For example, while certain wavelengths/frequencies of operation have been described, these are merely representative and other wavelength/frequencies may be utilized or achieved within the scope of the present disclosure.

Furthermore, while certain preferred fractal generator shapes have been described others may be used within the scope of the present disclosure. Accordingly, the embodiments described herein are to be considered in all respects as illustrative of the present disclosure and not restrictive.

Exemplary Embodiments:

Clause 1 : An electromagnetic radiating system providing gain over a prescribed bandwidth, the system comprising: a plurality of fractal cells comprising a fractal plasmonic surface (FPS) wherein the plurality of fractal cells is operative to produce a gain increase of a separate electromagnetic source through the production and propagation of a surface wave on and along the surface of the FPS;

wherein the gain increase is proportional to the area of the FPS;

wherein in operation the surface wave propagates over the area of the FPS and then radiates directionally as an electromagnetic wave or waves in free space.

Clause 2: The electromagnetic radiative system of clause 1, further comprising a driving antenna configured as a source to supply electromagnetic energy to the FPS. Clause 3 : The electromagnetic radiative system of clause 2, wherein the FPS is arranged with its length parallel to the driving antenna.

Clause 4: The electromagnetic radiative system of clause 2, wherein the FPS is arranged with its height parallel to the driving antenna.

Clause 5: The electromagnetic radiative system of clause 1, wherein the FPS expressed as a plurality of two or more FPS cards.

Clause 6: The electromagnetic radiative system of clause 5, wherein the FPS cards are not parallel to one another.

Clause 7: The electromagnetic radiative system of clause 1, wherein the FPS comprises a curved surface.

Clause 8: The electromagnetic radiative system of clause 1, wherein the FPS comprises a plurality of curved surfaces.

Clause 9: A transceiver unit comprising:

a transmitter;

a receiver; and

the electromagnetic radiative system of clause 1.

Clause 10: The transceiver unit of clause 9, wherein the FPS includes two or more FPS cards.

Clause 11: A garment or suit including a section described by the electromagnetic radiating system of clause 5.

Clause 12: A sheath or covering including the electromagnetic radiating system of clause 5.

Clause 13: A radome including a section the electromagnetic radiating system of clause 5.

Unless otherwise stated, all measurements, values, ratings, positions, magnitudes, sizes, and other specifications that are set forth in this specification, including in the claims that follow, are approximate, not exact. They are intended to have a reasonable range that is consistent with the functions to which they relate and with what is customary in the art to which they pertain.

All articles, patents, patent applications, and other publications that have been cited in this disclosure are incorporated herein by reference.

The phrase“means for” when used in a claim is intended to and should be interpreted to embrace the corresponding structures and materials that have been described and their equivalents. Similarly, the phrase“step for” when used in a claim is intended to and should be interpreted to embrace the corresponding acts that have been described and their equivalents. The absence of these phrases from a claim means that the claim is not intended to and should not be interpreted to be limited to these corresponding structures, materials, or acts, or to their equivalents.

The scope of protection is limited solely by the claims that now follow. That scope is intended and should be interpreted to be as broad as is consistent with the ordinary meaning of the language that is used in the claims when interpreted in light of this specification and the prosecution history that follows, except where specific meanings have been set forth, and to encompass all structural and functional equivalents.

Relational terms such as“first” and“second” and the like may be used solely to distinguish one entity or action from another, without necessarily requiring or implying any actual relationship or order between them. The terms“comprises,” “comprising,” and any other variation thereof when used in connection with a list of elements in the specification or claims are intended to indicate that the list is not exclusive and that other elements may be included. Similarly, an element proceeded by an“a” or an“an” does not, without further constraints, preclude the existence of additional elements of the identical type.

None of the claims are intended to embrace subject matter that fails to satisfy the requirement of Sections 101, 102, or 103 of the Patent Act, nor should they be interpreted in such a way. Any unintended coverage of such subject matter is hereby disclaimed. Except as just stated in this paragraph, nothing that has been stated or illustrated is intended or should be interpreted to cause a dedication of any component, step, feature, object, benefit, advantage, or equivalent to the public, regardless of whether it is or is not recited in the claims.

The abstract is provided to help the reader quickly ascertain the nature of the technical disclosure. It is submitted with the understanding that it will not be used to interpret or limit the scope or meaning of the claims. In addition, various features in the foregoing detailed description are grouped together in various embodiments to streamline the disclosure. This method of disclosure should not be interpreted as requiring claimed embodiments to require more features than are expressly recited in each claim. Rather, as the following claims reflect, inventive subject matter lies in less than all features of a single disclosed embodiment. Thus, the following claims are hereby incorporated into the detailed description, with each claim standing on its own as separately claimed subject matter.