2008-05-07
Plane Wave Diffraction by a Finite Parallel-Plate Waveguide with Four-Layer Material Loading: Part I - the Case of E Polarization
By
Progress In Electromagnetics Research B, Vol. 6, 1-36, 2008
Abstract
The plane wave diffraction by a finite parallel-plate waveguide with four-layer material loading is rigorously analyzed for the case of E polarization using the Wiener-Hopf technique. Introducing the Fourier transform for the scattered field and applying boundary conditions in the transform domain, the problem is formulated in terms of the simultaneous Wiener-Hopf equations, which are solved via the factorization and decomposition procedure together with a rigorous asymptotics. The scattered field is evaluated explicitly by taking the inverse Fourier transform and applying the saddle point method. Representative numerical examples of the radar cross section (RCS) are shown for various physical parameters and the far field scattering characteristics are discussed in detail.
Citation
Jian-Ping Zheng, and Kazuya 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:10.2528/PIERB08031219
References

1. Knott, E. F., J. F. Shaeffer, and M. T. Tuley, Radar Cross Section: Its Prediction, Measurement and Reduction, Artech House, 1985.

2. Lee, S.-W. and H. Ling, "Data book for cavity RCS: Version 1," Tech. Rep., No. SWL89-1, University Illinois, Urbana, 1989.        Google Scholar

3. Lee, S.-W. and R. J. Marhefka, "Data book of high-frequency RCS: Version 2," Tech. Rep., University Illinois, Urbana, 1989.        Google Scholar

4. Stone, W. R. (ed.), Radar Cross Sections of Complex Objects, IEEE Press, 1990.

5. Bhattacharyya, A. K. and D. L. Sengupta, Radar Cross Section Analysis and Control, Artech House, 1991.

6. Bernard, J. M. L., G. Pelosi, and P. Y. Ufimtsev (eds.), Special Issue on Radar Cross Section of Complex Objects, Ann. Telecommun., Vol. 50, No. 5-6, 1995.

7. Lee, C. S. and S.-W. Lee, "RCS of coated circular waveguide terminated by a perfect conductor," IEEE Trans. Antennas Propagat., Vol. 35, No. 4, 391-398, 1987.
doi:10.1109/TAP.1987.1144114        Google Scholar

8. 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:10.1109/8.1077        Google Scholar

9. 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:10.1109/8.18706        Google Scholar

10. 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:10.1109/8.24192        Google Scholar

11. 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.
doi:10.1109/22.231668        Google Scholar

12. 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.        Google Scholar

13. 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.        Google Scholar

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

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

16. Kobayashi, K., "Wiener-Hopf and modified residue calculus techniques," Analysis Methods for Electromagnetic Wave Problems, E. Yamashita (ed.), Chap. 8, Artech House, Boston, 1990.
doi:10.1109/8.475936        Google Scholar

17. 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.
doi:10.2528/PIER99062301        Google Scholar

18. Cetiner, B. A., A. Buyukaksoy, and F. Gunes, "Diffraction of electromagnetic waves by an open ended parallel plate waveguide cavity with impedance walls," Progress In Electromagnetics Research, Vol. 26, 165-197, 2000.        Google Scholar

19. Kobayashi, K. and A. Sawai, "Plane wave diffraction by an open-ended parallel plate waveguide cavity," Journal of Electromagnetic Waves and Applications, Vol. 6, No. 4, 475-512, 1992.        Google Scholar

20. Kobayashi, K., S. Koshikawa, and A. Sawai, "Diffraction by a parallel-plate waveguide cavity with dielectric/ferrite loading: Part 1 --- The case of E polarization," Progress In Electromagnetics Research, Vol. 8, 377-426, 1994.        Google Scholar

21. Koshikawa, S. and K. Kobayashi, "Diffraction by a parallel-plate waveguide cavity with dielectric/ferrite loading: Part 2 --- The case of H polarization," Progress In Electromagnetics Research, Vol. 8, 427-458, 1994.        Google Scholar

22. Koshikawa, S., T. Momose, and K. Kobayashi, "RCS of a parallel-plate waveguide cavity with three-layer material loading," IEICE Trans. Electron., Vol. E77-C, No. 9, 1514-1521, 1994.
doi:10.1109/8.585742        Google Scholar

23. 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.        Google Scholar

24. 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 1 --- The case of E polarization," Telecommunications and Radio Engineering, Vol. 58, No. 1 & 2, 53-65, 2002.        Google Scholar

25. 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 2 --- The case of H polarization," Telecommunications and Radio Engineering, Vol. 58, No. 1 & 2, 66-75, 2002.        Google Scholar

26. 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.
doi:10.1143/JPSJ.60.1501        Google Scholar

27. Kobayashi, K., "On generalized gamma functions occurring in diffraction theory," J. Phys. Soc. Japan, Vol. 60, No. 5, 1501-1512, 1991.        Google Scholar