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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, 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, 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.