This application is related to U.S. patent application Ser. No. 13/744,295 filed Jan. 17, 2013 and entitled “Surface Wave Guiding Apparatus and Method”, the disclosure of which is hereby incorporated herein by reference.
None.
This invention provides an antenna capable of dual-polarization, circularly-polarized simultaneous Right Hand Circular Polarization (RHCP) and Left Hand Circular Polarization (LHCP) operation.
Linearly-polarized AIS Antennas
Artificial impedance surface antennas (AISAs) are realized by launching a surface wave across an artificial impedance surface (AIS), whose impedance is spatially modulated across the AIS according a function that matches the phase fronts between the surface wave on the AIS and the desired far-field radiation pattern.
In the prior art, an artificial impedance surface antenna (AISA) is formed from modulated artificial impedance surfaces (AIS). The prior art, in this regard, includes:
(1) Patel (see, for example, Patel, A. M.; Grbic, A., “A Printed Leaky-Wave Antenna Based on a Sinusoidally-Modulated Reactance Surface”, IEEE Transactions on Antennas and Propagation, vol. 59, no. 6, pp. 2087-2096, June 2011) demonstrated a scalar AISA using an endfire-flare-fed one-dimensional, spatially-modulated AIS consisting of a linear array of metallic strips on a grounded dielectric.
(2) Sievenpiper, Colbum and Fong (see, for example, D. Sievenpiper et al, “Holographic AISs for conformal antennas”, 29th Antennas Applications Symposium, 2005 & 2005 IEEE Antennas and Prop. Symp. Digest, vol. 1B, pp. 256-259, 2005; and B. Fong et al, “Scalar and Tensor Holographic Artificial Impedance Surfaces”, IEEE TAP., 58, 2010) have demonstrated scalar and tensor AISAs on both flat and curved surfaces using waveguide-fed or dipole-fed, two-dimensional, spatially-modulated AIS consisting of a grounded dielectric topped with a grid of metallic patches.
(3) Gregoire (see, for example, D. J. Gregoire and J. S. Colbum, “Artificial impedance surface antennas”, Proc. Antennas Appl. Symposium 2011, pp. 460-475; D. J. Gregoire and J. S. Colbum, “Artificial impedance surface antenna design and simulation”, Proc. Antennas Appl. Symposium 2010, pp. 288-303) has examined the dependence of AISA operation on its design properties.
The basic principle of AISA operation is to use the grid momentum of the modulated AIS to match the wavevector of an excited surface-wave front to a desired plane wave. In the one-dimensional case, this can be expressed as
ksw=ko sin θo−kp, (Eqn. 1)
where ko is the radiation's free-space wavenumber at the design frequency, θo is the angle of the desired radiation with respect to the AIS normal, kp=2π/p is the AIS grid momentum where p is the AIS modulation period, and ksw=noko is the surface wave's wavenumber, where no is the surface wave's refractive index averaged over the AIS modulation. The Surface Wave (SW) impedance is typically chosen to have a pattern that modulates the SW impedance sinusoidally along the Surface Wave Guide (SWG) according to the following equation:
Z(x)=X+M cos(2π×/p) (Eqn. 2)
where p is the period of the modulation, X is the mean impedance, and M is the modulation amplitude. X, M and p are chosen such that the angle of the radiation θ in the x-z plane w.r.t the z axis is determined by
θ=sin−1(n0−λ0/p) (Eqn. 3)
where n0 is the mean SW index and λ0 is the free-space wavelength of radiation. n0 is related to Z(x) by
The AISA impedance modulation of Eqn. 2 can be generalized for an AISA of any shape as
Z({right arrow over (r)})=X+M cos(konor−{right arrow over (k)}o·{right arrow over (r)})
where {right arrow over (k)}o is the desired radiation wave vector, {right arrow over (r)} is the three-dimensional position vector of the AIS, and r is the distance along the AIS from the surface-wave source to {right arrow over (r)} along a geodesic on the AIS surface. This expression can be used to determine the index modulation for an AISA of any geometry, flat, cylindrical, spherical, or any arbitrary shape. In some cases, determining the value of r is geometrically complex. For a flat AISA, it is simply r=√{square root over (x2+y2)}.
For a flat AISA designed to radiate into the wavevector at {right arrow over (k)}o=ko(sin θo{circumflex over (x)}+cos θo{circumflex over (z)}), with the surface-wave source located at x=y=0, the modulation function is
Z(x,y)=X+M cos γ
where γ≡k0(n0r−x sin θ0). (Eqn. 4)
The cos function in Eqn. 2 and Eqn. 3 can be replaced with any periodic function and the AISA will still operate as designed, but the details of the side lobes, bandwidth and beam squint will be affected.
The AIS can be realized as a grid of metallic patches disposed on a grounded dielectric that produces the desired index modulation by varying the size of the patches according to a function that correlates the patch size to the surface wave index. The correlation between index and patch size can be determined using simulations, calculation and/or measurement techniques. For example, Colburn and Fong (see references cited above) use a combination of HFSS unit-cell eigenvalue simulations and near field measurements of test boards to determine their correlation function. Fast approximate methods presented by Luukkonen (see, for example, O. Luukkonen et al, “Simple and accurate analytical model of planar grids and high-impedance surfaces comprising metal strips or patches”, IEEE Trans. Antennas Prop., vol. 56, 1624, 2008) can also be used to calculate the correlation. However, empirical correction factors are often applied to these methods. In many regimes, these methods agree very well with HFSS eigenvalue simulations and near-field measurements. They break down when the patch size is large compared to the substrate thickness, or when the surface-wave phase shift per unit cell approaches 180°.
Circularly-polarized AIS Antennas
An AIS antenna can be made to operate with circularly-polarized (CP) radiation by using an impedance surface whose impedance properties are anisotropic. Mathematically, the impedance is described at every point on the AIS by a tensor. In a generalization of the modulation function of equation (3) for the linear-polarized AISA [4], the impedance tensor of the CP AISA may have a form like
In the article by B. Fong et al. identified above, the tensor impedance is realized with anisotropic metallic patches on a grounded dielectric substrate. The patches are squares of various sizes with a slice through the center of them. By varying the size of the patches and the angle of the slice through them, the desired tensor impedance of equation Eqn. 5 can be created across the entire AIS. Other types of tensor impedance elements besides the “sliced patch” can be used to create the tensor AIS.
Surface-wave Waveguide AIS Antennas
A variation on the AIS antennas utilizes surface-wave waveguides to confine the surface waves along narrow paths that form one-dimensional ES AISAs. Surface-wave waveguides (SWG) are surface structures that constrain surface-waves (SW) to propagate along a confined path (see, for example, D. J. Gregoire and A. V. Kabakian, “Surface-Wave Waveguides,” Antennas and Wireless Propagation Letters, IEEE, 10, 2011, pp. 1512-1515). In the simplest SWG, the structure interacts with surface waves in the same way that a fiber-optic transmission line interacts with light. The physical principle is the same: the wave preferentially propagates in a region of high refractive index surrounded by a region of low refractive index. In the case of the fiber optic, or any dielectric waveguide, the high- and low-index regions are realized with high and low-permittivity materials. In the case of the SWG, the high- and low-index regions can be realized with metallic patches of varying size and/or shape on a dielectric substrate.
The surface-wave fields across the width of the SWG are fairly uniform when the width of the SWG is less than approximately ¾ surface-wave wavelength. So, this is a good rule of thumb for the SWG.
In a linearly-polarized SWG AISA, the impedance of the SWG varies according to equation Eqn. 2. The impedance elements can be square patches of metal on the substrate or they can be strips that span the width of the SWG. The desired impedance modulation is created by varying the size of the impedance element dimensions with position.
In a circularly-polarized SWG, the tensor impedance varies according to equation Eqn. 5 with ϕ=0. The impedance elements can be the sliced patches as described by B. Fong et al. (see the B. Fong et al. article referenced above). The impedance element dimensions are varied with position to achieve the desired impedance variation.
In one aspect the present invention provides a dual-polarization, circularly-polarized artificial-impedance-surface antenna comprising: (1) two adjacent tensor surface-wave waveguides (SWGs); (2) a waveguide feed coupled to each of the two SWGs; (3) a hybrid coupler (which is preferably a 90° coupler) having output ports, each output port of the hybrid coupler being connected to the waveguide feeds coupled to the two SWGs, the hybrid coupler, in use, combining the signals from input ports of the hybrid coupler with phase shifts at its output ports.
In another aspect the present invention provides a method of simultaneously transmitting two oppositely handed circularly polarized RF signals comprising the steps of: (i) providing a dielectric surface with a ground plane on one side there of and with a pair of elongate artificial impedance surface antennas, each of said artificial impedance surface antennas including a pattern of metallic geometric stripes or shapes disposed on said dielectric surface, the metallic geometric stripes or shapes having varying sizes which form a repeating moire pattern, the moire patterns of the each of said pair of elongate artificial impedance surface antennas having a angular relationship with reference to a major axis of said pair of elongate artificial impedance surface antennas, a first one of said pair of elongate artificial impedance surface antennas having a positive angular relationship to said major axis and second one of said pair of elongate artificial impedance surface antennas having a negative angular relationship to said major axis; and (ii) applying RF energy to said pair of elongate artificial impedance surface antennas, said RF energy applied to said pair of elongate artificial impedance surface antennas having different relative phases selected such that RF signals transmitted by said pair of elongate artificial impedance surface antennas is circularly polarized.
In yet another aspect the present invention provides a method of simultaneously receiving two oppositely handed circularly polarized RF signals comprising the steps of: (i) sending the signals received by two SWGs into two input ports of a 3 dB 90 degree hybrid coupler, the coupler also having two output ports; and (ii) extracting LHCP and RHCP signals from the output two ports of the hybrid coupler.
This invention provides a solution for a dual-polarization, circularly-polarized AISA with simultaneous Right Hand Circular Polarization (RHCP) and Left Hand Circular Polarization (LHCP) operation.
Referring to
Each of the SWGs 101, 102 is a linear array of tensor impedance elements 106 that radiate with a polarization preferably at a ±45° angle to the polarization of the SW electric field (in the x axis labeled in
The tensor impedance elements 106 can be provided by metallic stripes disposed on a top side of the dielectric substrate 109 where the tensor impedance elements 106 in one channel are angled preferably at +45° with respect to the x axis, and the tilt angle of the stripes in the other channel is set to −45° with respect to that same axis. This variation in tilt angle produces radiation of different linear polarization, that when combined with a 90° phase shift via the 90° hybrid 103, produces circularly polarized radiation in transmit mode or allow reception of circularly polarized radiation in receive mode. The impedance elements could also be square patches with slices through them as described in B. Fong et al, “Scalar and Tensor Holographic Artificial Impedance Surfaces”, noted above. Such an embodiment is depicted by
The dielectric substrate 109 may preferably be made from Printed Circuit Board (PCB) material which has a metallic conductor (such as copper) disposed preferably on both of its major surfaces, the metallic conductor on the top or upper surface being patterned using conventional PCB fabrication techniques to define the aforementioned tensor impedance elements 106 from the metallic conductor originally formed on the upper surface of the PCB. The metallic conductor formed on the lower surface of the PCB would then become the ground plane.
In transmit operation, the front-end electronics 105 sends two independent signals from its transmit channels (T1 and T2) to the transmit connections of the two TR switches 104. The TR switches 104 send the two transmit signals to ports A and B of the 90° hybrid coupler 103. If the voltages at ports A and B are VA and VB, then the voltages VC and VD at ports C and D are (iVA+VB)/√{square root over (2)} and (VA+iVB)√{square root over (2)}, respectively where i=√{square root over (−1)} and represents a 90° phase shift.
The signals from ports C and D of the 90° hybrid coupler 103 pass through optional coaxial cables 110 to end launch Printed Circuit Board (PCB) connectors 107 which are connected to surface-wave (SW) feeds 108. The coaxial cables 110 and connectors 107 may be omitted if coupler 103 is connected directly the SW feeds 108, for example. If coaxial cables 110 are utilized, then their respective center conductors are connected to the SW feeds 108 while their shielding conductors are connected to the ground plane 111. Instead of using coaxial cables 110 to connect outputs of the coupler 103 to the feeds 108, a link between the two can alternatively be provided by rectangular waveguides, microstrips, coplanar waveguides (CPWs), etc. The SW feeds 108 preferably have a 50 Ω impedance at the end that connects to coupler 103 via the end-launch connector 107 (if utilized). The SW feed 108 flares from one end, preferably in an exponential curve, until its width matches the width of the SWGs 101, 102. The SW feeds 108 launch surface waves with a uniform field across their wide ends into the SWGs 101, 102. The SW feeds 108 are preferably formed using the same techniques to form the tensor impedance elements 106 (this is, by forming them from them the metallic conductor found on a typical PCB). The widths of the SWGs 101, 102 is preferably between ⅛ to 2 wavelengths of an operational frequency (or frequencies) of the SWGs 102, 102.
The SWGs 101, 102 are preferably composed of a series of metallic tensor impedance elements 106 whose sides are preferably angled at ±45° or having angled slices as in the embodiment of
The widths of the individual metallic tensor impedance elements 106 are typically much narrower than the widths of the SWGs 101, 102 which they form. In
The relation between the impedance-element geometry (e.g. the strip width) and the SW impedance is well understood. See the papers by Patel, Sievenpiper, Colburn, Fong and Gregoire identified above.
The metallic tensor impedance elements 106 in SWG 101 are angled in a direction opposite to the tensor impedance elements 106 in the other SWG 102. The radiation from the two SWGs will be polarized in the direction across the gaps between the strips. Therefore, the radiation from the two SWGs 101, 102 depicted by
The radiation from each SWG 101, 102 is polarized as it is because the slanted metallic strips are tensor impedance elements 106 whose major principal axis is perpendicular to the long edge of the strips and the minor axis is along them. The local tensor admittance of the SWG in the coordinate frame of the principal axes is
where Y(x) is determined by the voltage applied to the metallic strips at position x. Then the SW current is
which is along the major principal axis that is perpendicular to the long edge of the strips forming the tensor impedance elements 106. The radiation is driven by the SW currents according to
Erad∝[∫[{{circumflex over (k)}×Jsw}×{circumflex over (k)}]e−ik·r′dx]eik·r
and is therefore polarized in the direction across the gaps between the strips.
The preferred embodiment for a 12 GHz version of a radiating element of the invention is shown in
This concludes the description of embodiments of the present invention. The foregoing description of these embodiments and the methods of making same has been presented for the purposes of illustration and description. It is not intended to be exhaustive or to limit the invention to the precise form or methods disclosed. Many modifications and variations are possible in light of the above teachings. It is intended that the scope of the invention be limited not by this detailed description, but rather by the claims appended hereto.
Number | Name | Date | Kind |
---|---|---|---|
3771077 | Tischer | Nov 1973 | A |
4378558 | Lunden | Mar 1983 | A |
4507664 | James | Mar 1985 | A |
4716417 | Grumet | Dec 1987 | A |
5086301 | English | Feb 1992 | A |
5486837 | Miller | Jan 1996 | A |
5638079 | Kastner | Jun 1997 | A |
5917458 | Ho et al. | Jun 1999 | A |
6208316 | Cahill | Mar 2001 | B1 |
6262495 | Yablonovitch et al. | Jul 2001 | B1 |
6323826 | Sievenpiper et al. | Nov 2001 | B1 |
6346761 | Isobe | Feb 2002 | B1 |
6483481 | Sievenpiper et al. | Nov 2002 | B1 |
6496155 | Sievenpiper et al. | Dec 2002 | B1 |
6512494 | Diaz et al. | Jan 2003 | B1 |
6518931 | Sievenpiper | Feb 2003 | B1 |
6538621 | Sievenpiper | Mar 2003 | B1 |
6552696 | Sievenpiper et al. | Apr 2003 | B1 |
6624781 | Collins | Sep 2003 | B1 |
6628242 | Hacker et al. | Sep 2003 | B1 |
6657592 | Dening et al. | Dec 2003 | B2 |
6690327 | McKinzie et al. | Feb 2004 | B2 |
6739028 | Sievenpiper et al. | May 2004 | B2 |
6768476 | Lilly et al. | Jul 2004 | B2 |
6774866 | McKinzie et al. | Aug 2004 | B2 |
6806846 | West | Oct 2004 | B1 |
6897831 | McKinzie et al. | May 2005 | B2 |
6917343 | Sanchez et al. | Jul 2005 | B2 |
7071888 | Sievenpiper | Jul 2006 | B2 |
7136029 | Ramprasad et al. | Nov 2006 | B2 |
7151506 | Knowles et al. | Dec 2006 | B2 |
7197800 | Sievenpiper et al. | Apr 2007 | B2 |
7215007 | McKinzie et al. | May 2007 | B2 |
7215301 | Choi et al. | May 2007 | B2 |
7218281 | Sievenpiper et al. | May 2007 | B2 |
7245269 | Sievenpiper et al. | Jul 2007 | B2 |
7268650 | Higgins | Sep 2007 | B2 |
7411565 | McKinzie et al. | Aug 2008 | B2 |
7420524 | Werner et al. | Sep 2008 | B2 |
7471247 | Saily et al. | Dec 2008 | B2 |
7830310 | Sievenpiper | Nov 2010 | B1 |
7911407 | Fong et al. | Mar 2011 | B1 |
8803638 | Kildal | Aug 2014 | B2 |
8847846 | Diaz | Sep 2014 | B1 |
8912960 | Andrenko | Dec 2014 | B1 |
8982011 | Gregoire | Mar 2015 | B1 |
8994609 | Gregoire | Mar 2015 | B2 |
9023493 | de Rochemont | May 2015 | B2 |
20030112186 | Sanchez | Jun 2003 | A1 |
20030222733 | Ergene | Dec 2003 | A1 |
20040201526 | Knowles | Oct 2004 | A1 |
20050040918 | Kildal | Feb 2005 | A1 |
20050083228 | Edvardsson | Apr 2005 | A1 |
20050179614 | Nagy | Aug 2005 | A1 |
20060097942 | Tanaka | May 2006 | A1 |
20060152430 | Seddon et al. | Jul 2006 | A1 |
20070001909 | Sievenpiper | Jan 2007 | A1 |
20070147723 | Yamada | Jun 2007 | A1 |
20070189666 | Kornilovich | Aug 2007 | A1 |
20080055188 | Lynch | Mar 2008 | A1 |
20090033586 | Sanada | Feb 2009 | A1 |
20090066597 | Yang | Mar 2009 | A1 |
20090152243 | Horiguchi | Jun 2009 | A1 |
20090289737 | Itoh | Nov 2009 | A1 |
20100027130 | Bowers | Feb 2010 | A1 |
20100110559 | Cai | May 2010 | A1 |
20100171066 | Ohkoshi | Jul 2010 | A1 |
20100263199 | Morton | Oct 2010 | A1 |
20100265158 | Bowers | Oct 2010 | A1 |
20100271253 | Shah | Oct 2010 | A1 |
20110181373 | Kildal | Jul 2011 | A1 |
20110209110 | Grbic et al. | Aug 2011 | A1 |
20120038532 | Yonetsu | Feb 2012 | A1 |
20120194399 | Bily | Aug 2012 | A1 |
20120206310 | Apostolos | Aug 2012 | A1 |
20120280770 | Abhari | Nov 2012 | A1 |
20120287000 | Ando | Nov 2012 | A1 |
20130021112 | Apostolos | Jan 2013 | A1 |
20130214982 | Dean et al. | Aug 2013 | A1 |
20130249737 | Gregoire | Sep 2013 | A1 |
20130285871 | Gregoire | Oct 2013 | A1 |
20140266946 | Bily | Sep 2014 | A1 |
20140347234 | Caloz | Nov 2014 | A1 |
20150002854 | Laine | Jan 2015 | A1 |
20150009068 | Gregoire | Jan 2015 | A1 |
20150009070 | Gregoire | Jan 2015 | A1 |
20150009071 | Gregoire | Jan 2015 | A1 |
20150123852 | Yamagajo | May 2015 | A1 |
20150180133 | Hunt | Jun 2015 | A1 |
20150214615 | Patel | Jul 2015 | A1 |
20150222022 | Kundtz | Aug 2015 | A1 |
20150255870 | Okunaga | Sep 2015 | A1 |
20150276926 | Bowers | Oct 2015 | A1 |
20150318598 | Lee | Nov 2015 | A1 |
20150318621 | Apostolos | Nov 2015 | A1 |
20150372389 | Chen | Dec 2015 | A1 |
20160195612 | Shi | Jul 2016 | A1 |
20160329639 | Kasahara | Nov 2016 | A1 |
20170025765 | Quarfoth | Jan 2017 | A1 |
Number | Date | Country |
---|---|---|
1 508 940 | Feb 2005 | EP |
2 822 096 | Jan 2015 | EP |
2002299951 | Oct 2002 | JP |
9609662 | Mar 1996 | WO |
2004093244 | Oct 2004 | WO |
Entry |
---|
Young et al., “Meander-Line Polarizer,” IEEE Transactions on Antennas and Propagation, pp. 376-378, (May 1973). |
International Search Report and Written Opinion (ISR & WO) for PCT/US2015/036104 dated Sep. 22, 2015. |
From U.S. Appl. No. 13/744,295 (Unpublished, Non Publication Requested), Notice of Allowance dated Sep. 16, 2015. |
U.S. Appl. No. 13/744,295, filed Jan. 17, 2013 |
A.M Patel, A. Grbic, “A Printed Leaky-Wave Antenna Based on a Sinusoidally-Modulated Reactance Surface,” IEEE Transactions on Antennas and Propagation, vol. 59, No. 6, pp. 2087-2096, (Jun. 2011). |
D. Sievenpiper et al, “Holographic Artificial Impedance Surfaces for Conformal Antennas”, 29th Antennas Applications Symposium, (10 pp), 2005. |
D. Sievenpiper et al. “Holographic Artificial Impedance Surfaces for Conformal Antennas” 2005 IEEE Antennas and Prop. Symp. Digest, vol. 1B, pp. 256-259, 2005. |
D.J. Gregoire and J.S. Colburn, “Artificial Impedance Surface Antennas”, Proc. Antennas Application Symposium, pp. 460-475, (2011). |
D.J. Gregoire and J.S. Colburn, “Artificial Impedance Surface Antenna Design and Simulation,” Proc. Antennas Application Symposium, pp. 288-303, (2010). |
D.J. Gregoire and A.V. Kabakian, “Surface-Wave Waveguides,” IEEE Antennas and Wireless Propagation Letters, vol. 10, pp. 1512-1515, (2011). |
O. Luukkonen, C. Simovski, G. Granet, G. Goussetis, D. Lioubtchenko, A.V. Räisänen, S.A. Tretyakov, “Simple and Accurate Analytical Model of Planar Grids and High-Impedance. Surfaces Comprising Metal Strips or Patches,” IEEE Transactions on Antennas and Propagation, vol. 56, No. 6, pp. 1624-1632, (Jun. 2008). |
B.H. Fong, J.S. Colburn, J.J Ottusch, J.L. Visher, D.F. Sievenpiper, “Scalar and Tensor Holographic Artificial Impedance Surfaces” IEEE Transactions on Antennas and Propagation, vol. 58, No. 10, pp. 3212-3221, (Oct. 2010). |
http://www.microwaves101.com/encyclopedia/hybridcouplers.cfm, retrieved Jun. 10, 2014, (6 pages). |
From U.S. Appl. No. 13/744,295 (unpublished; non-publication request filed), Final Office Action dated May 5, 2015. |
From U.S. Appl. No. 13/744,295 (unpublished; non-publication request filed), Non-Final Office Action dated Oct. 16, 2014. |
U.S. Appl. No. 14/310,895, Gregoire, Daniel J. |
Bilow, Henry J., “Guided Waves on a Planar Tensor Impedance Surface,” IEEE Transactions on Antennas and Propagation, vol. 51, No. 10, pp. 2788-2792, (Oct. 2003). |
Canino et al., “Numerical Solution of the Helmholtz Equation in 2D and 3D Using a High-Order Nystrom Discretization,” Journal of Computational Physics, vol. 146, pp. 627-663, (1998). |
Checcacci et al., “Holographic Antennas,” IEEE Transactions on Antennas and Propagation, vol. 18, No. 6, pp. 811-813, (Nov. 1970). |
Contopanagos et al., Well-Conditioned Boundary Integral Equations for Three-Dimensional Electromagnetic Scattering, IEEE Transactions on Antennas and Propagation, vol. 50, No. 12, pp. 1824-1830, (Dec. 2002). |
Fathy et al., “Silicon-Based Reconfigurable Antennas—Concepts, Analysis, Implementation, and Feasibility,” IEEE Transactions on Microwave Theory and Techniques, vol. 51, No. 6, pp. 1650-1661, (Jun. 2003). |
Kabakian, Adour, “Tensor Impedance Surfaces,” AFOSR Final Report, (Nov. 30, 2010). http://www.dtic.mil/cgi-bin/GetTRDoc?AD=ADA566251. |
King et al., “The Synthesis of Surface Reactance Using an Artificial Dielectric,” IEEE Transactions on Antennas and Propagation, vol. 31, No. 3, pp. 471-476, (May 1993). |
Levis et al., “Ka-Band Dipole Holographic Antennas,” IEEE Proceedings of Microwaves, Antennas and Propagation, vol. 148, No. 2, pp. 129-132, (Apr. 2001). |
Mitra et al., “Techniques for Analyzing Frequency Selective Surfaces—A Review,” Proceedings of the IEEE, vol. 76, No. 12, pp. 1593-1615, (Dec. 1988). |
Oliner et al., “Guided Waves on Sinusoidally-Modulated Reactance Surfaces,” IRE Transactions on Antennas and Propagation, vol. 7, No. 5, pp. S201-S208, (Dec. 1959). |
Patel, A. M., and Grbic, A., “Modeling and Analysis of Printed-Circuit Tensor Impedance Surface,” IEEE Transactions on Antennas and Propagation, vol. 61, No. 1, pp. 211-220, (Jan. 2013). |
Patel, A. M., and Grbic, A., “Effective Surface Impedance of a Printed-Circuit Tensor Impedance Surface,” IEEE Transactions on Microwave Theory and Techniques, vol. 61, No. 4, pp. 1403-1413, (Apr. 2013). |
Patel, A. M., and Grbic, A., “Transformation Electromagnetics Devices Using Tensor Impedance Surfaces,” IEEE International Microwave Symposium, (2013). |
Patel, A. M., and Grbic, A., “The Effects of Spatial Dispersion on Power Flow Along a Printed-Circuit Tensor Impedance Surface,” IEEE Transactions on Antennas and Propagation, vol. 62, No. 3, (Mar. 2014). |
Pease, Robert L., “Radiation From Modulated Surface-Wave Structures—II,” IRE International Convention Record, vol. 5, pp. 161-165, (Mar. 1957). |
Pendry, J. B. et al., “Controlling Electromagnetic Fields,” Science, vol. 312, No. 5781, pp. 1780-1782, (Jun. 23, 2006). |
Sazonov, Dimitry M., “Computer Aided Design of Holographic Antennas,” IEEE International Symposium of the Antennas and the Propagation Society, vol. 2, pp. 738-741, (Jul. 1999). |
ElSherbiny et al., “Holographic Antenna Concept, Analysis, and Parameters,” IEEE Transactions on Antennas and Propagation, vol. 52, No. 3, pp. 830-839 (Mar. 2004). |
Sievenpiper et al., “High-Impedance Electromagnetic Surfaces with a Forbidden Frequency Band,” IEEE Transactions on Microwave Theory and Techniques, vol. 47, No. 11, pp. 2059-2074, (Nov. 1999). |
Thomas et al., “Radiation From Modulated Surface Wave Structures—I,” IRE International Convention Record, vol. 5, pp. 153-160, (Mar. 1957). |
Visher et al., “Polarization Controlling Holographic Artificial Impedance Surfaces,” IEEE AP-S, 2007. |
From Japanese Application No. 2008/519484 Final Office Action, Decision of Refusal dated Oct. 11, 2011 with English Translation. |
From PCT Application No. PCT/US2006/024979, International Search Report and Written Opinion (ISR & WO) dated Nov. 21, 2006. |
From PCT Application No. PCT/US2006/024979, Chapter I, International Preliminary Report on Patentability (IPRP) dated Jan. 9, 2008. |
From PCT Application No. PCT/US2006/024980, International Search Report and Written Opinion (ISR & WO) dated on Nov. 29, 2006. |
From PCT Application No. PCT/US2006/024980, International Preliminary Report on Patentability (IPRP) dated Jul. 2, 2008. |
From Taiwanese Application No. 95123303, ROC Office Action, Non Final Rejection dated Mar. 20, 2012 with English Translation. |
From Taiwanese Application No. 95123303, ROC Office Action, additional Non Final Rejection dated Mar. 20, 2012 with English Translation. |
From Taiwanese Application No. 95123303, ROC Office Action, Decision to Reject dated Jun. 27, 2012 with English Translation. |
From United Kingdom Application No. GB0800954.0, UK Office Action dated Dec. 5, 2008. |
From United Kingdom Application No. GB0722887.7, UK Office Action dated Dec. 4, 2008. |
From U.S. Appl. No. 11/173,182 (Now U.S. Pat. No. 7,830,310), Non-Final Rejection dated May 16, 2006. |
From U.S. Appl. No. 11/173,182 (Now U.S. Pat. No. 7,830,310), Restriction/Election dated Jan. 10, 2007. |
From U.S. Appl. No. 11/173,182 (Now U.S. Pat. No. 7,830,310), Final Rejection dated Apr. 30, 2007. |
From U.S. Appl. No. 11/173,182 (Now U.S. Pat. No. 7,830,310), Non-Final Rejection dated Aug. 15, 2007. |
From U.S. Appl. No. 11/173,182 (Now U.S. Pat. No. 7,830,310), Non-Final Rejection dated Feb. 4, 2008. |
U.S. Appl. No. 11/173,182 (Now U.S. Pat. No. 7,830,310), Non-Final Rejection dated Jul. 30, 2008. |
From U.S. Appl. No. 11/173,182 (Now U.S. Pat. No. 7,830,310), Final Rejection dated Dec. 9, 2008. |
From U.S. Appl. No. 11/173,182 (Now U.S. Pat. No. 7,830,310), Requirement/Election dated Apr. 23, 2009. |
From U.S. Appl. No. 11/173,182 (Now U.S. Pat. No. 7,830,310), Non-Final Rejection dated Aug. 14, 2009. |
From U.S. Appl. No. 11/173,182 (Now U.S. Pat. No. 7,830,310), Final Rejection dated Jan. 28, 2010. |
From U.S. Appl. No. 11/173,182 (Now U.S. Pat. No. 7,830,310), additional Final Rejection dated Jan. 28, 2010. |
From U.S. Appl. No. 11/173,182 (Now U.S. Pat. No. 7,830,310), Notice of Allowance dated Jul. 22, 2010. |
From U.S. Appl. No. 11/173,187 (Now U.S. Pat. No. 7,218,281), Non-Final Rejection dated May 31, 2006. |
From U.S. Appl. No. 11/173,187 (Now U.S. Pat. No. 7,218,281), Notice of Allowance dated Jan. 9, 2007. |
From U.S. Appl. No. 11/173,187 (Now U.S. Pat. No. 7,218,281), additional Notice of Allowance dated Jan. 9, 2007. |
From U.S. Appl. No. 12/138,083 (Now U.S. Pat. No. 7,911,407), Non-Final Rejection dated Aug. 2, 2010. |
From U.S. Appl. No. 12/138,083 (Now U.S. Pat. No. 7,911,407), Notice of Allowance dated Nov. 15, 2010. |
From U.S. Appl. No. 14/310,895, filed Jun. 20, 2014; Unpublished, Non Publication Requested), Application and Office Actions. |
From U.S. Appl. No. 14/737,100 (unpublished; non publication request filed), Office Action dated Feb. 23, 2018. |
Extended European Search Report and Search Opinion from European Patent Application No. 15810252.5 dated Jan. 8, 2018. |
Dong, Yuandan et al.: “Substrate Integrated Composite Right-/Left-Handed Leaky-Wave Structure for Polarization-Flexible Antenna Application”, IEEE Transactions on Antennas and Propagation, IEEE Service Center, Piscataway, NJ, US, vol. 60, No. 2, Feb. 1, 2012 (Feb. 1, 2012), pp. 760-771. |
Patel, Amit M.: “Controlling Electromagnetic Surface Waves with Scalar and Tensor Impedance Surfaces”, Jan. 1, 2013, <https://deepblue.lib.umich.edu/bitstream/handle/2027.42/97954/amitmpl.pdf?sequence=1&isAllowed=y> (retrieved on Dec. 20, 2017); pp. 1-180. |
U.S. Appl. No. 14/737,100, filed Jun. 11, 2015, Patel. |
From: U.S. Appl. No. 14/737,100 (unpublished; non publication requested filed), Office Action dated Sep. 5, 2017. |
PCT International Preliminary Report on Patentability (Chapter II) from PCT/US2015/036104 dated Jun. 16, 2016. |
“Hybrid (3 dB) Couplers,” Microwaves101: Microwave Encyclopedia. P N Designs, Inc. and IEEE. May 7, 2013. Web. 10th http://www.microwaves101.com/encyclopedia/hybridcouplers.cfm, retrieved Jun. 10, 2014, (6 pages). |
U.S. Appl. No. 15/986,741, filed May 22, 2018, Patel. |
U.S. Appl. No. 15/344,363, filed Nov. 4, 2016, Patel. |
Office action from Chinese Patent Application No. 201580024969.5 dated Sep. 20, 2018 with Search Report and its English translation. |
Office action from European Patent Application No. 15810252.5 dated Dec. 14, 2018. |
Number | Date | Country | |
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20150372390 A1 | Dec 2015 | US |