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Title:
SMART RF LENSING: EFFICIENT, DYNAMIC AND MOBILE WIRELESS POWER TRANSFER
Document Type and Number:
WIPO Patent Application WO/2014/075103
Kind Code:
A1
Abstract:
An RF lens includes a multitude of radiators adapted to transmit radio frequency electromagnetic EM waves whose phases are modulated so as to concentrate the radiated power in a small volume of space in order to power an electronic device positioned in that space. Accordingly, the waves emitted by the radiators are caused to interfere constructively at that space. The multitude of radiators are optionally formed in a one-dimensional or two-dimensional array. The electromagnetic waves radiated by the radiators have the same frequency but variable amplitudes.

Inventors:
SENGUPTA KAUSHIK (US)
HAJIMIRI SEYED ALI (US)
Application Number:
PCT/US2013/069757
Publication Date:
May 15, 2014
Filing Date:
November 12, 2013
Export Citation:
Click for automatic bibliography generation   Help
Assignee:
CALIFORNIA INST OF TECHN (US)
International Classes:
H02J17/00
Foreign References:
US20110181237A12011-07-28
US20100048255A12010-02-25
US6127799A2000-10-03
JP2008245404A2008-10-09
KR20120069496A2012-06-28
US20100259447A12010-10-14
US6967462B12005-11-22
Other References:
See also references of EP 2917998A4
Attorney, Agent or Firm:
TABIBI, Ardeshir (Eighth FloorTwo Embarcadero Cente, San Francisco California, US)
Download PDF:
Claims:
WHAT IS CLAIMED IS: L An RF lens comprising:

a first plurality of radiators adapted to radiate electromagnetic waves to power a device positioned away from the RF lens, wherein each of the plurality of radiators operates at a first frequency, wherein a phase of an electromagnetic wave radiated by each of the plurality of radiators is selected to be determined by a distance between the radiator and the device, 2. The RF lens of claim 1 wherein said first plurality of radiators are formed in an array. 3. The RF lens of claim 2 wherein said array is a one-dimensional array. 4. The RF lens of claim 2 wherem said array is a two-dimensional array. 5. The RF lens of claim 1 wherein an amplitude of an electromagnetic wave radiated by each of the first plurality of radiators is variable. 6. The RF lens of claim 1 wherein each of the first plurality of radiators comprises:

a variable delay element; and

an antenna, 7. The RF lens of claim 1 wherein said first plurality of radiators are formed in a first radiator tile adapted to receive a second radiator tile having disposed therein a second plurality of radiators. 8. The RF lens of claim 1 wherein said RF lens is further adapted to track a position of the device. 9. The RF lens of claim 1 wherein each of at feast a first subset of the first plurality of radiators comprises a circuit for receiving an electromagnetic wave transmitted by the device thereby enabling the RF lens to determine a position of the de vice in accordance with a phase of the electromagnetic wave received by each of the at least first subset of the first plurality of radiators.

10. The RF lens of claim 1 wherem each of at least a first subset of the plurality of radiators comprises a circuit for receiving an electromagnetic wave transmitted by the device thereby enabling the RF lens to determine a position of the device in accordance with a travel time of the electromagnetic wave from the device to each of the at least first subset of the first plurality of radiators and a ira vei time of a response electromagnetic wave transmitted from the RF lens to the device. 11. The RF lens of claim 1 wherein said RF lens is formed in a semiconductor substrate. 12. The RF lens of claim 1 wherein said RF Jens is formed in a flexible substrate. 13. The RF lens of claim 1 wherem the amplitude/phase of the first plurality of radiators are further selected to enable electromagnetic waves scattered off objects to power the device. 14. The RF lens of claim 1 wherein said RF lens further comprises:

a second plurality of radiators adapted to radiate electromagnetic waves to power a second device, wherem each of the second plurality of radiators operates at a second frequency different than the first frequency, wherein a phase of an electromagnetic wave radiated by each of the second plurality of radiators is selected to be determined by a distance between the radiator and the second device. 15. The RF lens of claim 1 further comprising a control circuit adapted to lock a phase or a frequency of the electromagnetic wave radiated by each of the first plurality of radiators to a phase or frequency of a reference signal. 16. The RF lens of claim 1 wherein said RF Jens is further adapted to track and power a second device. 17. The RF lens of claim 1 wherein a distance between a first one of the first plurality of radiators and a second one of the first plurality of radiators is different from a distance between a third one of the first plurality of radiat ors and a fourth one of the first plurality of radiators. 18, A method of wirelessly powering a device, the method comprising: transmitting a plurality of electromagnetic waves having a first frequency from a first plurality of radiators to the device;

selecting a phase of each of the first plurality of radiators in accordance with a distance between the radiator and the device; and

providing power to the device using the plm'aiitv of electromagnetic waves received by the device. 19 . The method of claim 18 further comprising:

forming the first plurality of radiators in an array, 20. The method of claim 19 further comprising:

forming the first plurality of radiators in a one-dimensional array. 21. The method of claim 19 further comprising:

forming the first plurality of radiators in a two-dimensional array, 2.2, The method of claim 18 further comprising:

varying an amplitude of an electromagnetic wave radiated by each of the first plurality of radiators. 23. The method of claim 18 wherein each of the plurality of radiators comprises:

a variable delay element; and

an antenna, 24. The method of claim 18 wherein said first plurality of radiators are formed in a first radiator tile adapted to receive a second radiator tile having disposed therein a second plurality of radiators. 25. The method of claim 18 further comprising:

tracking a position of the device. 26. The method of claim 18 further comprising: determining a position of the device in accordance with relative phases of an electromagnetic wave transmitted by the device and received by each of a first subset of the first plurality of radiators. 27. The method of claim 18 further comprising:

determining a position of the device in accordance with a travel time of an elec tromagnetic wave transmitted by the device and received by each of a fsrst subset of the first plurality of radiators, and further in accordance with a travel time of a response electromagnetic wave transmitted from the RF lens to the device.

28. The method of claim 18 further comprising:

forming the first plurality of radiators in a semiconductor substrate. 29. The method of claim 18 further comprising:

forming the first plurality of radiators in a flexible substrate 30. The method of claim 18 further comprising:

selecting the amplitude/phase of the first plurality of radiators to enable the electromagnetic waves transmitted by the first plurality of radiators and scattered off objects to power the device. 31 . The method of claim 18 further comprising:

transmitting a second plurality of electromagnetic aves having a second frequency from a second plurality of radiators to a second de vice and concurrently with the transmission of the elec tromagnetic waves from the first plurality of radiators;

selecting a phase of each of the second plurality of radiators in accordance with a distance between the radiator and the second de vice; and

providing power to the second device using the second plurality of electromagnetic waves. 32. The method of claim 18 further comprising:

locking a phase or a frequency of the electromagnetic wave radiated by each of the first plurality of radiators io a phase or frequency of a reference signal.

33. The method of claim 18 further comprising: tracking and powering a second device using the electromagnetic waves radiated by the first plurality of radiators. 34. The method of claim 18 wherein a distance between a first one of the first plurality of radiators and a second one of the first plurality of radiators is different from a distance between a third one of the first plurality of radiators and a fourth one of ihe first plurality of radiators.

Description:
SMART RF LENSING; EFFICIENT, DYNAMIC AND MOBILE

WIRELESS POWER TRANSFER

CROSS-REFERENCE TO RELATED APPLICATIONS

[0001 j The present application claims benefit under 35 § U.S.C 1 19(e) of U.S. Provisional Patent Application No. 61 /724,638, filed November 9, 2012, entitled "Smart RF Lensmg: Efficient, Dynamic And Mobile Wireless Power Transfer", the contents of which is incorporated herein by reference in its entirety. BACKGROUND OF THE INVENTION

[Θ0Θ2] The present invention relates to wireless communication, and more particularly to wireless power transfer.

BACKGROUND OF THE INVENTION

[0003] Electrical energy used in powering electronic devices comes predominantly from wired sources. Conventional wireless power transfer relies on magnetic inductive effect between two coifs placed in close proximity of one another. To increase its efficiency, the coil size is selected to be less than the wavelength of the radiated electromagnetic wave. The transferred power diminishes strongly as the distance between the source and the charging device is increased.

BRIEF SUMMARY OF THE INVENTION

[0004] An RF lens, in accordance with one embodiment of the present invention, includes, in part, a multitude of radiators adapted to radiate electromagnetic waves to power a device positioned away from the RF lens. Each of the multitude of radiators operates at the same frequency . The phase of ihe electromagnetic wave radiated by each of the multitude of radiators is selected to be representative of the distance between that radiator and the device.

[0005] In one embodiment, the multitude of radiators are formed in an array. In one embodiment, the array is a one-dimensional array. In another embodiment, the array is a two- dimensional array. In one embodiment, the amplitudes of the electromagnetic waves radiated by the radiators is variable. In one embodiment, each of the multitude of radiators includes, in part, a variable delay element, a control circuit adapted to lock the phase or frequency of the electromagnetic wave radiated by that radiator to the phase or frequency of a reference signal, an amplifier, and an antenna.

[0006] in one embodiment, the multitude of radiators are formed in a first radiator tile adapted to receive a second radiator tile having disposed therein another multitude of radiators. In one embodiment, the RF lens is further adapted to track a position of the device. In one embodiment, each of a first subset of the radiators includes a circuit for receiving an electromagnetic wave transmitted by the device thus enabling the RF lens to determine the position of the device in accordance with the phases of the electromagnetic wave received by the first subset of the radiators,

[0007] In one embodiment, each of at least a first subset of the radiators includes a circuit for receiving an electromagnetic wave transmitted by the device thereby enabling the RF lens to determine a position of the device in accordance with a travel time of the electromagnetic wave from the device to each of the first subset of the radiators and a travel time of a response electromagnetic wave transmitted from the RF lens to the device. In one embodiment, the RF lens is formed in a semiconductor substrate,

[0008] A method of wirelessly powering a device, in accordance with one embodiment of the present invention, includes, in part, transmitting a multitude of electromagnetic waves having the same frequency from a multitude of radiators to the device, selecting a phase of each of the multitude of radiators in accordance with a distance between that radiator and the device, and charging the device using the electromagnetic waves received by the device.

[0009] In one embodiment, the method further includes, in part, forming the radiators in an array . In one embodiment, the radiators are formed in a one-dimensional array. In another embodiment, the radiators are formed in a two-dimensional array. In one embodiment, the method further includes, in part, varying the amplitude of the electromagnetic wave radiated by each of the radiators.

[0010] In one embodiment, each radiators includes, in part, a variable delay element, a controlled locked circuit adapted to lock the phase or the frequency of the electromagnetic wave radiated by the radiator to the phase or frequency of a reference signal, an amplifier, and an antenna. In one embodiment, the radiators are formed in a first radiator tile adapted to receive a second radiator tile having disposed therein another multitude of radiators. [0011] n one embodiment, the method further includes, in part, tracking the position of the device, m one embodiment, the method further includes, in part, determining the position of the device in accordance with relative phases of an electromagnetic wave transmitted by the device and received by each of at least a subset of the radiators. In one embodiment, the method further includes, in part, determining the position of the device in accordance with a travel time of an electromagnetic wave transmitted by the device and received by each of at least a subset of the radiators, and further in accordance with a travel time of a response electromagnetic wave transmitted from the RF lens to the device, in one embodiment, the method further includes, in part, forming the RF lens in a semiconductor substrate.

BRIEF DESCRIPTION OF THE DRAWINGS

[0012] Figure 1 shows a one-dimensional array of radiators forming an RF lens, in accordance with one embodiment of the present invention.

[0013] Figure 2 is a side view of the RF lens of Figure I wirelessly delivering power to a device at a first location, in accordance with one exemplary embodiment of the present invention.

[0014] Figure 3 is a side view of the RF lens of Figure 1 wirelessly delivering power to a device at a second location, in accordance with one exemplary embodiment of the present invention. [0015] Figure 4 is a side view of the RF lens of Figure 1 w irelessly delivering power to a device at a third location, in accordance with one exemplary embodiment of the present invention.

[0016] Figure 5 shows a two-dimensional array of radiators forming an RF lens, in accordance with one exemplary embodiment of the present invention. [0017] Figure 6A is a simplified block diagram of a radiator disposed in an RF lens, in accordance with one exemplary embodiment of the present invention.

[0018] Figure 6B is a simplified block diagram of a radiator disposed in an RF lens, in accordance with another exemplary embodiment of the present invention. [0019] Figure 7 shows a number of electronic components of a device adapted to be charged wirelessiy, in accordance with one exemplary embodiment of the present invention.

[0020] Figure 8 is a schematic diagram of an RF lens wirelessiy charging a device, in accordance with one exemplary embodiment of the present invention. [0021] Figure 9 is a schematic diagram of an RF lens concurrently charging a pair of devices, in accordance with one exemplary embodiment of the present invention.

[0022] Figure 10 is a schematic diagram of an RF lens concurrently charging a pair of mobile devices and a stationary device, in accordance with one exemplary embodiment of the present invention. [0023] Figure 1 1A shows computer simulations of the electromagnetic field profiles of a one-dimensional RF lens, in accordance with one exemplary embodiment of the present invention.

[0024] Figure 1 IB is a simplified schematic view of an RF lens used in generating the electromagnetic field profiles of Figure 1 1A. [0025] Figure 12 shows the variations in computer simulated electromagnetic field profiles generated by the RF lens of Figitre i IB as a function of the spacing between each adjacent pair of radiators disposed therein.

[0026] Figure 13 A is an exemplary computer-simulated electromagnetic field profile of an RF lens and using a scale of -15 dB to 0 dB, in accordance with one exemplary embodiment of the present invention.

[0027] Figure 13B shows the computer-simulated electromagnetic field profile of Figure 13A using a scale of -45 dB to 0 dB.

[0028] Figure 14A is an exemplary computer-simulated electromagnetic field profile of the RF lens of Figure 13A and using a scale of -15 dB to 0 dB, in accordance with one exemplary embodiment of the present invention.

[0029] Figure 14B shows the computer-simulated electromagnetic field profile of Figure 14A using a scale of -45 dB to 0 dB, in accordance with one exemplary embodiment of the present invention. [0030] Figure 15A. is an exemplary computer-simulated electromagnetic field profile of an RF lens and using a scale of - 15 dB to 0 dB, in accordance with one exemplary embodiment of the present invention.

[0031] Figure 15B shows the computer-simulated electromagnetic field profile of Figure 15A using a scale of -45 dB to 0 dB, in accordance with one exemplary embodiment of the present invention.

[0032] Figure 16A is an exemplary computer-simulated electromagnetic field profile of the RF lens of Figure 15A using a scale of - 15 dB to 0 dB, in accordance with one exemplary embodiment of the present invention. [0033] Figure 16B shows the computer-simulated electromagnetic field profile of Figure 16A using a scale of -45 dB to 0 dB, in accordance with one exemplary embodiment of the present invention.

[0034] Figure 17A shows an exemplary radiator tile having disposed therein four radiators, in accordance with one exemplary embodiment of the present invention. [0035] Figure 17B shows an RF lens formed using a. multitude of the radiator tiles of Figure 17A, in accordance with one exemplary embodiment of the present invention.

[0036] Figure 18 is a simplified block diagram of a radiator disposed in an RF lens, in accordance with another exemplary embodiment of the present invention.

[0037] Figure 19 shows a number of electronic components disposed in a. device adapted to be charged wirelessly, in accordance with another exemplary embodiment of the present invention.

[0038] Figure 20 shows an RF lens tracking a device using a signal transmitted by the device, in accordance with another exemplary embodiment of the present invention.

[0039] Figure 21 sho ws an RF lens transferring power to a device in the presence of a multitude of scattering objects, in accordance with another exemplary embodiment of the present invention.

[0040] Figure 22 A shows an RF lens formed using a multitude of radiators arranged in a circular shape, in accordance with one embodiment of the present invention. [0041] Figure 22B shows an RF lens formed using a multitude of radiators arranged in an elliptical shape, in accordance with one embodiment of the present invention.

DETAILED DESCRIPTION OF THE INVENTION

[0042] An RF lens, in accordance with one embodiment of the present invention, includes a multitude of radiators adapted to transmit radio frequency electromagnetic EM waves (hereinafter alternatively referred to as EM waves, or waves) whose phases and amplitudes are modulated so as to concentrate the radiated power in a small volume of space (hereinafter alternatively referred to as focus point or target zone) in order to power an electronic device positioned in that space. Accordingly, the waves emitted by the radiators are caused to interfere constructively at ihe focus point. Although the description below is provided with reference to wireless power transfer, the following embodiments of the present invention may be used to transfer any other kind of information wirelessly.

[0043] Figure 1 shows a multitude of radiators, arranged in an array 100, forming an R F fens, in accordance with one embodiment of the present invention. Array 1 00 is shown as including N radiators 10i, 10?, 10;,... I 0N-I, I O each adapted to radiate an EM wave whose amplitude and phase may be independently controlled in order to cause constructive interference of the radiated EM waves at a focus point where a device to be charged is located, where N is integer greater than 1 . Figure 2 is a side view of the array 100 when the relative phases of the wa v es generated by radiators 10; (i is an integer ranging from 1 to N) are selected so as to cause constructive interference between the waves to occur near region 102 where a device being wirelessly charged is positioned, i.e., the focus point. Region 102 is shown as being positioned at approximately distance di from center 104 of array 100. The distance between the array center and the focus point is aliernatively referred to herein as the focal length. Although the following description of an RF Jens is provided with reference to a one or two dimensional array of radiators, it is understood that an RF lens in accordance with the present invention may have any other arrangement of the radiators, such as a circular arrangement 1000 of radiators 202 as sho wn in Figure 22A, or the elliptical arrangement 1010 of radiators 202 shown in Figure 22B. [0044] As seen from Figure 2, each radiator 10; is assumed to be positioned at distance y t from center 104 of array 100. The amplitude and phase of the wave radiated by radiator 10; are assumed to be represented by A; and Θ; respectively. Assume further that the wavelength of the waves being radiated is represented by λ. To cause the waves radiated by the radiators to interfere constructively in region 102 (i.e., the desired focus point), the following relationship is satisfied between various phases Θ; and distances y;:

2π rz : Δ1Τ 2π

+ +

A 2 ^ VN

1 \ i5] Since the phase of an RF signal may be accurately controlled, power radiated from multiple sources may be focused, in accordance with the present invention, onto a target zone where a device to be wirelessly charged is located. Furthermore, dynamic phase control enables the tracking of the device as it moves from its initial location. For example, as shown in Figure 3, if the device moves to a different position— along the focal plane— locaied at a distance d.2 from center point 104 of the array, in order to ensure that the target zone is also located at distance d 2 , the phases of the sources may be adjusted in accordance with the following relationshi : θ 1 + ~ y df + yl ( i )

Referring to Fig. 4, if the device moves to a different position away from the focal plane (e.g., to a different point along the y-axis) the radiators' phases are dynamically adjusted, as described below, so as to track and maintain the target zone focused on the device. Parameter y c represents the y-component of the device's new position, as shown in Figure 4, from the focal plane of the array (i.e, the plane perpendicular to the y-axis and passing through center 104 of array 100). θ 1 + y y'df + (y T - y c ) 2 - 0 2 + y = - = Θ Ν + y y / rf f + ( ¾ ~ Yc) 2 (2)

The amount of power transferred is defined by the wavelength A of the waves being radiated by the radiators, the array span or array aperture A as shown in Figure 1 , and the focal length, i.e. ( F /A). [0048] In one embodiment, the distance between each pair of radiators is of the order of the wavelength of the signal being radiated. For example, if the frequency of the radiated wave is 2.4 GHz (i.e., the wavelength is 12.5 cm), the distance between each two radiators may be a few tenths to a few tens of the wavelengths, thai may vary depending on the application. [0049] An RF lens, in accordance with the present invention, is operative to transfer power wirelessly in both near- fie Id and far field regions. In the optical domain, a near field region is referred to as the Fresnel region and is defined as a region in which the focal length is of the order of the aperture size. In the optical domain, a far field region is referred to as the Fraunhofer region and is defined as a region in which the focal length (F) is substantially greater than (2Α /λ).

[0058] To transfer power wirelessly to a device, in accordance with the present invention, the radiator phases are selected so as to account for differences in distances between the target point and the radiators. For example, assume that the focal length dj in Figure 2 is of the order of the aperture size A. Therefore, since distances Si, S 2 , S3 SN a e different from one another, corresponding phases θι, θ 2 , Θ3. . .ΘΝ of radiators l Oi, 10?, I O3... I O N are varied so as to satisfy expression (1), described above. The size of the focus point (approximately λΡ/Α) is relatively small for such regions because of the diffraction limited length.

[0051] A radiator array, in accordance with the present invention, is also operative to transfer power wirelessly to a target device in the far field region where the focal length is greater than (2Α /λ). For such regions, the distances from the different array elements to the focus spot are assumed be to be the same. Accordingly, for such regions, Sj = S2 = S3 =

S N , and 61 = 02 = 63. . .= ø , The size of the focus point is relatively larger for such regions and thus is more suitable for wireless charging of larger appliances.

[0052] Figure 5 shows an RF lens 200, in accordance with another embodiment of the present invention. RF lens 200 is shown as including a two dimensional array of radiators 20¾ (j arranged along rows and columns. Although RF lens 200 is shown as including 121 radiators 202;,; disposed along 11 rows and 1 1 columns (integers i and j are indices ranging from 1 to 1 1) it is understood that an RF lens in accordance with embodiments of the present invention may have any number of radiators disposed along U rows and V columns, where U and V are integers greater one. In the following description, radiators 20¾ may be collectively or individually referred to as radiators 202. [0053] As described further blow, the array radiators are locked to a reference frequency, which may be a sub-harmonic (n=l , 2, 3 ... ) of the radiated frequency, or at the same frequency as the radiated frequency. The phase of the wave radiated by each radiator are controlled independently in order to enable the radiated waves to constructively interfere and concentrate their power onto a target zone within any region in space.

[0054] Figure 6A is a simplified block diagram of a radiaior 202 disposed in RF lens 200, in accordance with one embodiment of the present invention. As seen, radiator 2.02 is shown as including, in part, a programmable delay element (also referred to herein as phase modulator) 210, a phase/frequency locked loop 212, a power amplifier 214, and an antenna 2.16. Programmable delay element 2.10 is adapted to delay signal W2 to generate signal W3. The delay between signals W2 and W3 is determined in accordance with control signal Ctrl applied to the delay element. In one embodiment, phase/frequency locked loop 212 receives signal W-, as well as a reference clock signal having a frequency F™; to generate signal W 2 whose frequency is locked to the reference frequency F re f. In another embodiment, signal W 2 generated by phase/frequency locked loop 212 has a frequency defined by a multiple of the reference frequency F re f. Signal Wj is amplified by power amplifier 214 and transmitted by antenna 216. Accordingly and as described above, the phase of the signal radiated by each radiator 2.02. may be varied by an associated programmable delay element 2.10 disposed in the radiator. [0055] Figure 6B is a simplified block diagram of a radiator 2.02 disposed in RF lens 200, in accordance with another embodiment of the present invention. As seen, radiator 202 is shown as including, in part, a programmable delay element 2 0, a phase/ frequency locked loop 212, a power amplifier 2.14, and an antenna 216. Programmable delay element 2.10 is adapted to delay the reference clock signal F re f thereby to generate a delayed reference clock signal F re f De ] ay . The delay between signals F re f and F rel - De iay is determined in accordance with control signal Ctrl applied to the delay element 210. Signal W2 generated by phase/frequency locked loop 2 2 has a frequency locked to the frequency of signal F re f Delay or a multiple of the frequency of signal F re f Delay In other embodiments (not shown), the delay element is disposed in and is part of phase/frequency locked loop 212. In yet other embodiments (not shown), the radiators may not have an amplifier. [0056] Figure 7 shows a number of components of a device 300 adapted to be charged wirelessly, in accordance with one embodiment of the present invention. Device 300 is shown as including, in part, an antenna 302, a rectifier 304, and a regulator 306. Antenna 302 receives the electromagnetic waves radiaied by a radiator, in accordance with the present invention. Rectifier 304 is adapted to convert the received AC power to a DC power.

Regulator 306 is adapted to regulate the voltage signal received from rectifier 304 and apply the regulated voltage to the device. High power transfer efficiency is obtained, in one embodiment, if the aperture area of the receiver antenna is comparable to the size of the target zone of the electromagnetic field. Since most of the radiated power is concentrated in a small volume forming the target zone, such a receiver antenna is thus optimized to ensure that most of the radiaied power is utilized for charging up the device. In one embodiment, the device may be retro-fitted externally with components required for wireless charging. In another embodiment, existing circuitry present in the charging device, such as antenna, receivers, and the like, may be used to harness the power. [0057] Figure 8 is a schematic diagram of RF fens 200 wirelessly chargmg device 300. in some embodiments, RF lens 200 wirelessly charges multiple devices concurrently. Figure 9 shows RF lens 200 concurrently charging devices 310, and 315 using focused waves of similar or different strengths. Figure 10 shows RF lens 200 wireless charging mobile devices 320, 325 and stationary device 330 all of which are assumed to be indoor, [0058] Figure 1 1 A shows computer-simulated electromagnetic field profiles generated by a one-dimensional RF lens at a distance 2 meters away from the RF lens having an array of 1 1 isotropic radiators. The beam profiles are generated for three different frequencies, namely 200 MHz (wavelength 150 cm), 800 MHz (wavelength 37.5 cm), and 2400 MHz (wavelength 12.50 cm). Since the distance between each pair of adjacent radiators of the RF lens is assumed to be 20 cm, the RF lens has an aperiitre of 2 m. Therefore, the wavelengths are of the order of aperture size and focal length of the radiator. Figure 1 IB is a simplified schematic view/ of such an RF lens 500 having 1 1 radiators 505 k that are spaced 20 cm apart from one another, where K is an integer ranging from 1 to 1 1.

[0059] Plots 510, 520 and 530 are computer simulations of the electromagnetic field profiles respectively for 200 MHz, 800 MHz, and 2400 signals radiated by radiator 500 when the relative phases of the various radiators are selected so as to account for the path differences from each of radiators 505 k to the point located 2 meters away from radiator 505e in accordance with expression (1) above. For each of these profiles, the diffraction limited focus size is of the order of the wavelengths of the radiated signal. Plots 515, 525 and 535 are computer simulations of the electromagnetic field profiles at a distance 2 meters away from the radiator array for 200 MFiz, 800 MHz, and 2400 signals respectively when the phases of radiators 505k were set equal to one another.

[006Θ] As seen from these profiles, for the larger wavelength having a frequency of 200 MFiz (i.e, plots 510, 515), because the path differences from the individual radiators to the focus point are not substantially different, the difference between profiles 510 and 515 is relatively unpronounced. However, for each of 800 MHz and 2400 MHz frequencies, the EM confinement (focus) is substantially more when the relative phases of the various radiators are selected so as to account for the path differences from the radiators 505k to the focus point than when radiator phases are set equal to one another. Although the above examples are provided with reference to operating frequencies of 2.00 MHz, 800 MHz, and 2400 MFiz, it is understood that the embodiments of the present may be used in any other operating frequency, such as 5.8 GHz, 10 GHz, and 24 GHz.

[0061] Figure 12 shows the variations in computer simulated electromagnetic field profiles generated by RF lens 500 at a distance of 2 meters away from the RF len as a function of the spacing between each adjacent pair of radiators. The RF lens is assumed to operate at a frequency of 2.400 MHz. Plots 610, 62.0, and 630 are computer simulations of the field profiles generated respectively for radiator spacings of 5 cm, 10 cm, and 20 cm after selecting the relative phases of the various radiators to account for the path differences from various radiators 505k to the point 2 meters away from the RF lens, in accordance with expression (1 ) above. Plots 615, 625, and 650 are computer simulations of the field profiles generated respectively for radiator spacings of 5 cm, 10 cm, and 20 cm assuming all radiators disposed in RF lens 500 have equal phases. As is seen from these plots, as the distance between the radiators increases— thus resulting in a larger aperture size— the EM confinement also increases thereby resulting in a smaller focus point.

[0062] Figure 13A is the computer simulation of the EM profile of an RF lens at a distance 3 meters away from an RF lens having disposed therein a two-dimensional array of Hertzian dipoles operating at a frequency of 900 MHz, such as RF lens 200 shown in Figure 5. The spacing between the dipoie radiators are assumed to be 30 cm. The rel ative phases of the radiators were selected so as to account for the path differences from the radiators to the focal point, assumed to be located 3 meters away from the RF lens. In other words, the relative phases of the radiators is selected to provide the RF lens with a focal length of approximately 3 meters. The scale used in generating Figure 13A is -15 dB to 0 dB. Figure I3B shows the EM profile of Figure I3A using a scale of -45 dB to 0 dB.

[0063] Figure 14A is the computer simulation of the EM profile of the RF lens of Figures 13Α/Ί 3Β at a distance 2 meters away from the focal point, i.e., 5 meters away from the RF lens. As is seen from Figure 14A, the radiated power is diffused over a larger area compared to those shown in Figures 13A and 13B. The scale used in generating Figure 14A is -15 dB to 0 dB. Figure 14B shows the EM profile of Figure 14A using a scale of -45 dB to 0 dB.

[0064] Figure 15A is the computer simulation of the EM profile of an RF lens at a distance 3 meters away from the RF lens having disposed therein a two-dimensional array of Hertzian dipoles operating at a frequency of 900 MHz. The spacing between the dipoie radiators are assumed to be 30 cm. The relative phases of the radiators are selected so as to account for the path differences from the radiators to the focal point, assumed to be located 3 meters away from the RF lens and at an offset of 1.5 m from the focal plane of the RF lens, i.e., the focus point has a y-coordinate of 1.5 meters from the focal plane (see Figure 4). The scale used in generating Figure 15A is - 15 dB to 0. Figure 15B shows the EM profile of Figure 15A using a scale of -45 dB to 0 dB.

[0065] Figure 16A is the computer simulation of the EM profile of the RF lens of Figures 15 /15B at a distance 2 meters away from the focal point, i.e., 5 meters away from the x-y plane of the RF lens. As is seen from Figure I6A, the radiated power is diffused over a larger area compared to that shown in Figure 15A. The scale used in generating Figure 16 A is - 15 dB to 0 dB, Figure 16B shows the EM profile of Figure 16A using a scale of -45 dB to 0 dB. The EM profiles shown in Figures 13 A, 13B, 14 A, 14B 15 A, 15B, 16A, 16B demonstrate the versatility of an RF lens, in accordance with the present invention, in focusing power at any arbitrary point in 3D space.

[0066] In accordance with one aspect of the present invention, the size of the array forming an RF lens is configurable and may be varied by using radiator tiles each of which may include one or more radiators. Figure 17A shows an example of a radiator tile 700 having disposed therein four radiators 15n, 15)2, Si;, and 1522- Although radiator tile 700 is shown as including four radiators, it is understood that a radiator tile, in accordance with one aspect of the present invention, may have fewer (e.g., one) or more than (e.g., 6) four radiators. Figure 17B shown an RF lens 800 initially formed using 7 radiator tiles, namely radiator tiles 700j], 700.2, 700 13 , 700 21 , 700 22 , 700 31 ) 700 31 — each of which is similar to radiator tile 700 s own in Figure 17A and being provided with two more radiator tiles 700?} and 700;,;,.

Although not shown, it is understood that each radiator tile includes the electrical connections necessary to supply power to the radiators and deliver information from the radiators as necessary. In one embodiment, the radiators formed in the tiles are similar to radiator 202 shown in Figure 6.

[0067] In accordance with one aspect of the present invention, the RF lens is adapted to track the position of a mobile device in order to continue the charging process as the mobile device changes position. To achieve this, in one embodiment, a subset or all of the radiators forming the RF lens include a receiver. The device being charged also includes a transmitter adapted to radiate a continuous signal during the tracking phase. By detecting the relative differences between the phases (arrival times) of such a signal by at least three different receivers formed on the RF lens, the position of the charging device is tracked.

[0068] Figure 18 is a simplified block diagram of a radiator 902 disposed in an RF lens, such as RF lens 200 shown in Figure 5, in accordance with one embodiment of the present invention. Radiator 902 is similar to radiator 202 shown in Figure 6, except that radiator 902 has a receiver amplifier and phase recovery circuit 218, and a switch Si . During power transfer, switch Sj couples antenna 216 via node A to power amplifier 214 disposed in the transmit path. During tracking, switch Si couples antenna 216 via node B to receiver amplifier and phase recovery circuit 218 disposed in the receive path to receive the signal transmitted by the device being charged.

[0069] Figure 19 shows a number of components of a device 900 adapted to be charged wirelessly, in accordance with one embodiment of the present invention. Device 900 is similar to device 300 shown in Figure 7, except that device 900 has a transmit amplifier 316, and a switch S 2 . During power transfer, switch S 2 couples antenna 302 via node D to rectifier 304 disposed in receive path. During tracking, switch S2 couples antenna 302 via node C to transmit amplifier 316 to enable the transmission of a signal subsequently used by the RF lens to detect the position of device 300, Figure 20 shows RF lens 200 tracking device 900 by receiving the signal transmitted by device 900.

[0070] In accordance with another embodiment of the present invention, a pulse based measurement technique is used to track the position of the mobile device. To achieve this, one or more radiators forming the RF lens transmit a pulse during the tracking phase. Upon receiving the pulse, the device being tracked sends a response which is received by the radiators disposed in the array. The travel time of the pulse from the RF lens to the device being tracked together with the travel times of the response pulse from the device being tracked to the RF lens is representative of the position of the device being tracked. In the presence of scatterers, the position of the device could be tracked using such estimation algorithms as maximum likelihood, or least-square, Kalman filtering, a combination of these techniques, or the like. The position of the device may also be determined and tracked using WiFi and GPS signals.

[0071] The presence of scattering objects, reflectors and absorbers may affect the RF lens' ability to focus the beam efficiently on the device undergoing wireless charging. For example. Figure 21 shows an RF lens 950 transferring power to device 300 in the presence of a multitude of scattering objects 250. To minimize such effects, the amplitude and phase of the individual radiators of the array may be varied to increase power transfer efficiency. Any one of a number of techniques may be used to vary the amplitude or phase of the individual radiators.

[0072] In accordance with one such technique, to minimize the effect of scattering, a signal is transmitted by one or more of the radiators disposed in the RF lens. The signai(s) radiated from the RF lens is scattered by the scattering objects and received by the radiators (see Fig 18 ). An inverse scattering algorithm is then used to construct the scattering behavior of the environment. Such a construction may be performed periodically to account for any changes that may occur with time. In accordance with another technique, a portion or the entire radiator array may be used to electronically beam-scan the surroundings to construct the scattering behavior from the received waves. In accordance with yet another technique, the device undergoing wireless charging is adapted to periodically send information about the power it receives to the radiator. An optimization algorithm then uses the received information to account for scattering so as to maximize the power transfer efficiency. [0073] in some embodiments, the amplitude/phase of the radiators or the orientation of the RF lens may be adjusted to take advantage of the scattering media. This enable the scattering objects to have the proper phase, amplitude and polarization in order to be used as secondary sources of radiation directing their power tow ards the device to increase the power transfer efficiency.

[0074] The above embodiments of the present invention are illustrative and not limitative. Embodiments of the present invention are not limited by number of radiators disposed in an RF lens, nor are they Hmited by the number of dimensions of an array used in forming the RF lens. Embodiments of the present invention are not limited by the type of radiator, its frequency of operation, and the like. Embodiments of the present invention are not limited by the type of device that may be wireiessly charged. Embodiments of the present invention are not limited by the type of substrate, semiconductor, flexible or otherwise, in which v arious components of the radiator may be formed. Other additions, subtractions or modifications are obvious in view of the present disclosure and are intended to fall within the scope of the appended claims.