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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2009-02-09
Diffraction by a Semi-Infinite Parallel-Plate Waveguide with Sinusoidal Wall Corrugation: Combined Perturbation and Wiener-Hopf Analysis
By
Jian-Ping Zheng,

    Dr. Jian-Ping Zheng

    Department of Electrical, Electronic, and Communication Engineering

    Chuo University

    Japan

    Homepage

Kazuya Kobayashi

    Professor Kazuya Kobayashi

    Department of Electrical, Electronic, and Communication Engineering

    Chuo University

    Japan

    Homepage

Progress In Electromagnetics Research B, Vol. 13, 75-110, 2009
doi:10.2528/PIERB08120704 | Google Scholar

Abstract
The diffraction by a semi-infinite parallel-plate waveguide with sinusoidal wall corrugation is analyzed for the E-polarized plane wave incidence using the Wiener-Hopf technique together with the perturbation method. The problem is formulated in terms of the simultaneous Wiener-Hopf equations by introducing the Fourier transform for the unknown scattered field and applying approximate boundary conditions in the transform domain. Employing the factorization and decomposition procedure together with a perturbation series expansion, the zero- and first-order solutions of the Wiener-Hopf equations are obtained. Explicit expressions of the scattered field inside and outside the waveguide are derived analytically by taking the inverse Fourier transform and applying the saddle point method. Far field scattering characteristics of the waveguide are discussed in detail via representative numerical examples.
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Citation
Jian-Ping Zheng, and Kazuya Kobayashi, "Diffraction by a Semi-Infinite Parallel-Plate Waveguide with Sinusoidal Wall Corrugation: Combined Perturbation and Wiener-Hopf Analysis," Progress In Electromagnetics Research B, Vol. 13, 75-110, 2009.
doi:10.2528/PIERB08120704
References

1. Shestopalov, V. P., The Riemann-Hilbert Method in the Theory of Di®raction and Propagation of Electromagnetic Waves, Kharkov University Press, 1971 (in Russian).

2. Nosich, A. I., "Green's function-dual series approach in wave scattering by combined resonant scatterers," Analytical and Numerical Methods in Electromagnetic Wave Theory, M. Hashimoto, M. Idemen, and O. A. Tretyakov (eds.), Chap. 9, Science House, Tokyo, 1993.        Google Scholar

3. Shestopalov, V. P., L. N. Litvinenko, S. A. Masalov, and V. G. Sologub, Diffraction of Waves by Gratings, Kharkov University Press, 1973 (in Russian).

4. Shestopalov, V. P., A. A. Kirilenko, and S. A. Masalov, Convolution-Type Matrix Equations in the Theory of Diffraction, Naukova Dumka Publishing, 1984 (in Russian).

5. Nosich, A. I., "The method of analytical regularization in wave-scattering and eigenvalue problems: Foundations and review of solutions," IEEE Antennas Propagat. Mag., Vol. 41, No. 3, 34-49, 1999.
doi:10.1109/74.775246        Google Scholar

6. Ikuno, H. and K. Yasuura, "Improved point-matching method with application to scattering from a periodic surface," IEEE Trans. Antennas Propagat., Vol. 21, No. 5, 657-662, 1973.
doi:10.1109/TAP.1973.1140592        Google Scholar

7. Okuno, Y., "The mode-matching method," Analysis Methods for Electromagnetic Wave Problems, E. Yamashita (ed.), Chap. 4, Artech House, Boston, 1990.        Google Scholar

8. Okuno, Y., "An introduction to the Yasuura Method," Analytical and Numerical Methods in Electromagnetic Wave Theory, M. Hashimoto, M. Idemen, and O. A. Tretyakov (eds.), Chap. 11, Science House, Tokyo, 1993.        Google Scholar

9. Petit, R. (ed.), Electromagnetic Theory of Gratings, Springer-Verlag, 1980.

10. Hinata, T. and T. Hosono, "On the scattering of electromagnetic wave by plane grating placed in homogeneous medium | Mathe-matical foundation of point-matching method and numerical analysis," Trans. IECE Japan, Vol. J59-B, No. 12, 571-578, 1976 (in Japanese).        Google Scholar

11. Yamasaki, T., K. Isono, and T. Hinata, "Analysis of electromagnetic fields in inhomogeneous media by Fourier series expansion methods --- The case of a dielectric constant mixed a positive and negative regions ," IEICE Trans. Electron., Vol. E88-C, No. 12, 2216-2222, 2005.
doi:10.1093/ietele/e88-c.12.2216        Google Scholar

12. Ozaki, R., T. Yamasaki, and T. Hinata, "Scattering of electromagnetic waves by multilayered inhomogeneous columnar dielectric gratings," IEICE Trans. Electron., Vol. E90-C, No. 2, 295-303, 2007.
doi:10.1093/ietele/e90-c.2.295        Google Scholar

13. Noble, B., Methods Based on the Wiener-Hopf Technique for the Solution of Partial Differential Equations, Pergamon, 1958.

14. Weinstein, L. A., The Theory of Diffraction and the Factorization Method, The Golem Press, 1969.

15. Mittra, R. and S. W. Lee, Analytical Techniques in the Theory of Guided Waves, Macmillan, 1971.

16. Kobayashi, K., "The Wiener-Hopf technique with applications to scattering and diffraction problems," A Course of Applied Mathematics, K. Horiuchi (ed.), Chap. 9, Corona Publishing, Tokyo, 1989 (in Japanese).        Google Scholar

17. Kobayashi, K., "Wiener-Hopf and modified residue calculus techniques," Analysis Methods for Electromagnetic Wave Problems, E. Yamashita (ed.), Chap. 8, Artech House, Boston, 1990.        Google Scholar

18. Baldwin, G. L. and A. E. Heins, "On the diffraction of a plane wave by an infinite plane grating," Math. Scand., Vol. 2, 103-118, 1954.        Google Scholar

19. Hills, N. L. and S. N. Karp, "Semi-infinite diffraction gratings --- I," Comm. Pure Appl. Math., Vol. 18, No. 1-2, 203-233, 1965.
doi:10.1002/cpa.3160180119        Google Scholar

20. Luneburg, E. and K. Westpfahl, "Diffraction of plane waves by an infinite strip grating," Ann. Phys., Vol. 27, No. 3, 257-288, 1971.
doi:10.1002/andp.19714820305        Google Scholar

21. Luneburg, E., "Diffraction by an infinite set of parallel half-planes and by an infinite strip grating," Analytical and Numerical Methods in Electromagnetic Wave Theory, M. Hashimoto, M. Idemen, and O. A. Tretyakov (eds.), Chap. 7, Science House, Tokyo, 1993.        Google Scholar

22. Serbest, A. H., A. Kara, and E. Luneburg, "Scattering of plane waves at the junction of two corrugated half-planes," Electromagnetics, Vol. 25, No. 1, 21-38, 2005.
doi:10.1080/02726340590522111        Google Scholar

23. Kobayashi, K., "Diffraction of a plane wave by the parallel plate grating with dielectric loading," Trans. IECE Japan, Vol. J64-B, No. 10, 1091-1098, 1981 (in Japanese).        Google Scholar

24. Kobayashi, K., "Diffraction of a plane electromagnetic wave by a parallel plate grating with dielectric loading: the case of transverse magnetic incidence," Can. J. Phys., Vol. 63, No. 4, 453-465, 1985.        Google Scholar

25. Kobayashi, K. and T. Inoue, "Diffraction of a plane wave by an inclined parallel plate grating," IEEE Trans. Antennas Propagat., Vol. 36, No. 10, 1424-1434, 1988.
doi:10.1109/8.8630        Google Scholar

26. Kobayashi, K. and K. Miura, "Diffraction of a plane wave by a thick strip grating," IEEE Trans. Antennas Propagat., Vol. 37, No. 4, 459-470, 1989.
doi:10.1109/8.24166        Google Scholar

27. Das Gupta, S. P., "Diffraction by a corrugated half-plane," Proc. Vib. Prob., Vol. 3, No. 11, 413-424, 1970.        Google Scholar

28. Chakrabarti, A. and S. Dowerah, "Traveling waves in a parallel plate waveguide with periodic wall perturbations," Can. J. Phys., Vol. 62, No. 3, 271-284, 1984.        Google Scholar

29. Kobayashi, K., "Combined perturbation and Wiener-Hopf analysis of the diffraction by a finite sinusoidal grating," Microwave Opt. Technol. Lett., Vol. 4, No. 11, 495-501, 1991.
doi:10.1002/mop.4650041121        Google Scholar

30. Kobayashi, K. and T. Eizawa, "Plane wave diffraction by a finite sinusoidal grating," IEICE Trans., Vol. E74, No. 9, 2815-2826, 1991.        Google Scholar

31. Kobayashi, K., "Some diffraction problems involving modified Wiener-Hopf geometries," Analytical and Numerical Methods in Electromagnetic Wave Theory, M. Hashimoto, M. Idemen, and O. A. Tretyakov (eds.), Chap. 4, Science House, Tokyo, 1993.        Google Scholar

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