Vol. 102
Latest Volume
All Volumes
PIER 179 [2024] PIER 178 [2023] PIER 177 [2023] PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
2010-03-03
An Approximate UTD Ray Solution for the Radiation and Scattering by Antennas Near a Junction Between Two Different Thin Planar Material Slab on Ground Plane
By
Progress In Electromagnetics Research, Vol. 102, 227-248, 2010
Abstract
A new, approximate, uniform geometrical theory of diffraction (UTD) based ray solutions are developed for describing the high frequency electromagnetic (EM) wave radiation/coupling mechanisms for antennas on or near a junction between two different thin planar slabs on ground plane. The present solution is obtained by extending the normal incidence solution in order to treat the more general case of skew (or oblique) incidence (three-dimensional 3-D). Plane wave (for oblique or skew incidence) and spherical wave illumination are all considered in this work. Unlike most previous works, which analyze the plane wave scattering by such structures via the Wiener-Hopf (W-H) or Maliuzhinets (MZ) methods, the present development can also treat problems of the radiation by and coupling between antennas near or on finite material coatings on large metallic platforms. In addition, the present solution does not contain the complicated split functions of the W-H solutions nor the complex MZ functions. Unlike the latter methods based on approximate boundary conditions, the present solutions, which are developed via a heuristic spectral synthesis approach, recover the proper local plane wave Fresnel reflection and transmission coefficients and surface wave constants of the material slabs. There is a very good agreement, with less than ± 1 dB differences when the numerical results based on the presented UTD solution for a material junction are compared with that of the MZ solution.
Citation
Titipong Lertwiriyaprapa, Prabhakar H. Pathak, and John Volakis, "An Approximate UTD Ray Solution for the Radiation and Scattering by Antennas Near a Junction Between Two Different Thin Planar Material Slab on Ground Plane," Progress In Electromagnetics Research, Vol. 102, 227-248, 2010.
doi:10.2528/PIER09111809
References

1. Kouyoumjian, R. G. and P. H. Pathak, "A uniform geometrical theory of di®raction for an edge in a perfectly conducting surface," Proc. IEEE, Vol. 62, No. 10, 1448-1461, Nov. 1974.

2. Pathak, P. H., "High frequency techniques for antenna analysis," Proc. IEEE, Vol. 80, No. 10, 44-65, Jan. 1992.
doi:10.1109/5.119566

3. Ziolkowski, R. W. and N. Engheta, "Introduction, history, and selected topics in fundamental theories of metamaterials," Metamaterials Physics and Engineering Explorations, N. Engheta and R. W. Ziolkowski (eds.), 5{37, IEEE Press, New Jersey, 2006.

4. Iyer, A. K. and G. V. Elefttheriades, "Negative-refractive-index transmission-line metamaterials," Negative-refraction Metamate-rials: Fundamental Principles and Applications, G. V. Eleftheriades and K. G. Balmain (eds.), 1--48, John Wiley and Sons, New Jersey, 2005.

5. Caloz, C. and T. Itoh, Electromagnetic Metamaterials, John Wiley and Sons, New Jersey, 2006.

6. Chew, W. C., "Some reflections on double negative materials," Progress In Electromagnetics Research, Vol. 51, 1-26, 2005.
doi:10.2528/PIER04032602

7. Lertwiriyaprapa, T., P. H. Pathak, and J. L. Volakis, "A UTD for predicting ¯elds of sources near or on thin planar positive/negative material discontinuities ," Radio Science, Vol. 42, RS6S18, 2007.

8. Rojas, R. G., "Wiener-Hopf analysis of the EM diffraction by an impedance discontinuity in a planar surface and by an impedance half-plane ," IEEE Trans. Antenna Propagat., Vol. 36, 71-83, Jan. 1988.
doi:10.1109/8.1076

9. Rojas, R. G. and P. H. Pathak, "Diffraction of EM waves by a dielectric/ferrite half-plane and related configurations," IEEE Trans. Antenna Propagat., Vol. 37, 751-763, Jun. 1989.
doi:10.1109/8.29362

10. Rojas, R. G., "Electromagnetic diffraction of an obliquely incident plane wave field by a wedge with impedance faces," IEEE Trans. Antenna Propagat., Vol. 36, 956-970, Jul. 1988.

11. Tiberio, R., G. Pelosi, and G. Manara, "A uniform GTD formulation for the diffraction by a wedge with impedance faces," IEEE Trans. Antenna Propagat., Vol. 33, 867-873, Aug. 1985.
doi:10.1109/TAP.1985.1143687

12. Tiberio, R., G. Pelosi, G. Manara, and P. H. Pathak, "High-frequency scattering from a wedge with impedance faces illuminated by a line source, Part I: Diffraction ," IEEE Trans. Antenna Propagat., Vol. 37, 212-218, Feb. 1989.
doi:10.1109/8.18708

13. Aidi, M. and J. Lavergnat, "Comparison of Luebbers' and Maliuzhinets' wedge diffraction coe±cients in urban channel modelling," Progress In Electromagnetics Research, Vol. 33, 1-28, 2001.
doi:10.2528/PIER00112005

14. Manara, G., P. Nepa, G. Pelosi, and A. Vallecchi, "An approximate solution for skew incidence diffraction by an interior right-angled anisotropic impedance wedge," Progress In Electromagnetics Research, Vol. 45, 45-75, 2004.
doi:10.2528/PIER03052702

15. Senior, T. B. A. and E. Topsakal, "Diffraction by an anisotropic impedance half plane-revised solution ," Progress In Electromagnetics Research, Vol. 53, 1-19, 2005.
doi:10.2528/PIER04061702

16. Harrington, R. F., Time-harmonic Electromagnetic Fields, McGraw-Hill, New York, 1961.

17. Pathak, P. H. and R. G. Kouyoumjian, "The dyadic diffraction coefficient for a perfectly conducting wedge," The Ohio State University; Prepared Under Contract AF19(628)-5929 for Air Force Cambridge Research Laboratories , Vol. 2183-4, Jun. 1970.

18. Lertwiriyaprapa, T., P. H. Pathak, and J. L. Volakis, "A UTD for the radiation by sources near thin planar metamaterial structures with a discontinuity ," 2007 Asia-Pacific Microwave Conference, Bangkok, Thailand, Dec. 2007.

19. Lertwiriyaprapa, T., An approximate UTD development for the radiation by antennas near or on thin material coated metallic wedges , Ph.D. Dissertation, The Ohio State University, USA, 2007.