The diffraction by a terminated, semi-infinite parallelplate waveguide with four-layer material loading is rigorously analyzed for the H-polarized plane wave incidence by means of the Wiener-Hopf technique. Introducing the Fourier transform for the unknown scattered field and applying boundary conditions in the transform domain, the problem is formulated in terms of the simultaneous Wiener-Hopf equations. The Wiener-Hopf equations are solved via the factorization and decomposition procedure together with the use of the edge condition leading to exact and approximate solutions. The scattered field inside and outside the waveguide is evaluated by taking the inverse Fourier transform and applying the saddle point method. Numerical examples on the radar cross section (RCS) are presented for various physical parameters, and the backscattering characteristics of the waveguide are discussed.
2. Lee, S. W. and R. J. Marhefka, "Data book of high-frequency RCS: Version 2,", Tech. Rep., Univ. Illinois, Urbana, 1989.
3. Stone, W. R., Ed., Radar Cross Sections of Complex Objects, IEEE Press, New York, 1990.
doi:10.1109/TAP.1987.1144114
4. Bernard, J. M. L., G. Pelosi, P. Ya. Ufimtsev, and Eds., Special Issue on Radar Cross Section of Complex Objects, Ann. Telecommun., Vol. 50, No. 5-6, 1995.
doi:10.1109/8.1077
5. Lee, C. S. and S. W. Lee, "RCS of a coated circular waveguide terminated by a perfect conductor," IEEE Trans. Antennas Propagat., Vol. 35, No. 4, 391-398, 1987.
doi:10.1109/8.18706
6. Altintas, A., P. H. Pathak, and M. C. Liang, "A selective modal scheme for the analysis of EM coupling into or radiation from large open-ended waveguides," IEEE Trans. Antennas Propagat., Vol. 36, No. 1, 84-96, 1988.
doi:10.1109/8.24192
7. Ling, H., R. C. Chou, and S. W. Lee, "Shooting and bouncing rays: Calculating the RCS of an arbitrary shaped cavity," IEEE Trans. Antennas Propagat., Vol. 37, No. 2, 194-205, 1989.
doi:10.1109/22.231668
8. Pathak, P. H. and R. J. Burkholder, "Modal, ray, and beam techniques for analyzing the EM scattering by open-ended waveguide cavities," IEEE Trans. Antennas Propagat., Vol. 37, No. 5, 635-647, 1989.
doi:10.1109/8.267356
9. Pathak, P. H. and R. J. Burkholder, "A reciprocity formulation for the EM scattering by an obstacle within a large open cavity," IEEE Trans. Microwave Theory Tech., Vol. 41, No. 4, 702-707, 1993.
10. Lee, R. and T. T. Chia, "Analysis of electromagnetic scattering from a cavity with a complex termination by means of a hybrid ray-FDTD method," IEEE Trans. Antennas Propagat., Vol. 41, No. 11, 1560-1569, 1993.
11. Ohnuki, S. and T. Hinata, "Radar cross section of an open-ended rectangular cylinder with an iris inside the cavity," IEICE Trans. Electron., Vol. E81-C, No. 12, 1875-1880, 1998.
12. Noble, B., Methods Based on the Wiener-Hopf Technique for the Solution of Partial Differential Equations, Pergamon, London, 1958.
13. Mittra, R. and S. W. Lee, Analytical Techniques in the Theory of Guided Waves, Macmillan, New York, 1971.
doi:10.1109/8.475936
14. Kobayashi, K., "Wiener-Hopf and modified residue calculus techniques," Analysis Methods for Electromagnetic Wave Problems, Chap. 8, Yamashita, E., Ed., Artech House, Boston, 1990.
15. Buyukaksoy, A., F. Birbir, and E. Erdogan, "Scattering characteristics of a rectangular groove in a reactive surface," IEEE Trans. Antennas and Propagat., Vol. 43, No. 12, 1450-1458, 1995.
16. Cetiner, B. A., A. Buyukaksoy, and F. Gune, "Diffraction of electromagnetic waves by an open ended parallel plate waveguide cavity with impedance walls," Progress In Electromagnetics Research, PIER 26, 165-197, 2000.
17. Kobayashi, K. and A. Sawai, "Plane wave diffraction by an openended parallel plate waveguide cavity," Journal of Electromagnetic Waves and Applications, Vol. 6, No. 4, 475-512, 1992.
18. Kobayashi, K., S. Koshikawa, and A. Sawai, "Diffraction by a parallel-plate waveguide cavity with dielectric/ferrite loading: Part I — The case of E polarization," Progress In Electromagnetics Research, PIER 8, 377-426, 1994.
19. Koshikawa, S. and K. Kobayashi, "Diffraction by a parallel-plate waveguide cavity with dielectric/ferrite loading: Part II --- The case of H polarization," Progress In Electromagnetics Research, PIER 8, 427-458, 1994.
20. Koshikawa, S., T. Momose, and K. Kobayashi, "RCS of a parallelplate waveguide cavity with three-layer material loading," IEICE Trans. Electron., Vol. E77-C, No. 9, 1514-1521, 1994.
21. Okada, S., S. Koshikawa, and K. Kobayashi, "Wiener-Hopf analysis of the plane wave diffraction by a finite parallel-plate waveguide with three-layer material loading: Part I --- The case of E polarization," Telecommunications and Radio Engineering, Vol. 58, No. 1&2, 53-65, 2002.
doi:10.2528/PIERB08031219
22. Okada, S., S. Koshikawa, and K. Kobayashi, "Wiener-Hopf analysis of the plane wave diffraction by a finite parallel-plate waveguide with three-layer material loading: Part II --- The case of H polarization," Telecommunications and Radio Engineering, Vol. 58, No. 1&2, 66-75, 2002.
doi:10.2528/PIERB08031220
23. Zheng, J. P. and K. Kobayashi, "Plane wave diffraction by a finite parallel-plate waveguide with four-layer material loading: Part I --- The case of E polarization," Progress In Electromagnetics Research B, Vol. 6, 1-36, 2008.
doi:10.1109/8.585742
24. Shang, E. H. and K. Kobayashi, "Plane wave diffraction by a finite parallel-plate waveguide with four-layer material loading: Part II --- The case of H polarization," Progress In Electromagnetics Research B, Vol. 6, 267-294, 2008.
25. Koshikawa, S. and K. Kobayashi, "Diffraction by a terminated, semi-infinite parallel-plate waveguide with three-layer material loading," IEEE Trans. Antennas and Propagat., Vol. 45, No. 6, 949-959, 1997.
26. Koshikawa, S. and K. Kobayashi, "Diffraction by a terminated, semi-infinite parallel-plate waveguide with three-layer material loading; the case of H polarization," Electromagnetic Waves & Electronic Systems, Vol. 5, No. 1, 13-23, 2000.
27. Shang, E. H. and K. Kobayashi, "Diffraction by a terminated, semi-infinite parallel-plate waveguide with four-layer material loading," Progress In Electromagnetics Research B, accepted for publication.
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