volume | PIER Journals

Abstract

Diffraction of a plane wave from a geometry which contains an infinite slit in a perfect electric conducting (PEC) plane and a perfectly electromagnetic conductor (PEMC) cylinder is presented. The method is based on the extension of Clemmow, Karp and Russek solution for the diffraction by a wide slit. The results are compared with the published work and agreement is fairly good.

1. Keller, J. B., "A geometrical theory of diffraction," Calculus of Variation and Its Applications, Proceeding of Symposia in Applied Mathematics, 37-52, McGraw-Hill Book Co. Inc., 1958. Google Scholar

2. Keller, J. B., "Diffraction by an aperture," J. Appl. Phys., Vol. 28, 426-444, 1957.
doi:10.1063/1.1722767 Google Scholar

3. Keller, J. B., "Geometrical theory of diffraction," J. Opt. Soc. of America, Vol. 52, 116-130, 1962.
doi:10.1364/JOSA.52.000116 Google Scholar

4. Karp, S. N. and J. B. Keller, "Multiple diffraction by an aperture in hard screen," Optica Acta, Vol. 8, 61-72, 1961. Google Scholar

5. Buchal, R. N. and J. B. Keller, "Boundary layer problems in diffraction theory," Comm. Pure Appl. Math., Vol. 13, 85, 1960. Google Scholar

6. Keller, J. B., "Diffraction by a convex cylinder," Electromagnetic Wave Theory Symposium, 312-321, 1956. Google Scholar

7. Keller, J. B., R. M. Lewis, and B. D. Seckler, "Asymptotic solution of some diffraction problems," Commu. on Pure and Applied Mathematics, Vol. IX, 207-265, 1956.
doi:10.1002/cpa.3160090205 Google Scholar

8. Elsherbeni, A. Z. and M. Hamid, "Diffraction by a wide double wedge with rounded edges," IEEE Trans. Antennas Propagat., Vol. 33, No. 9, 1012-1015, 1985.
doi:10.1109/TAP.1985.1143694 Google Scholar

9. Twersky, V., "Multiple scattering of radiation by an arbitrary planar configuration of parallel cylinders and by two parallel cylinders," J. Appl. Phys., Vol. 23, 404, 1952. Google Scholar

10. Karp, S., "Diffraction by combination of obstacles," Proc. McGill Symp. Microwave Opt., 196, McGill Univ., Canada, 1953. Google Scholar

11. Karp, S. and J. Radlow, "On resonance in infinite grating of cylinders," IRE Trans. Antenna Propagat., Vol. 4, No. 4, 654, 1956.
doi:10.1109/TAP.1956.1144440 Google Scholar

12. Karp, S. and A. Russek, "Diffraction by a wide slit," J. Appl. Phys., Vol. 27, 886, 1956.
doi:10.1063/1.1722509 Google Scholar

13. Zitron, N. and S. Karp, "High-order approximation in multiple scattering, I: Two dimensional scalar case," J. Math. Phys., Vol. 2, 394, 1961.
doi:10.1063/1.1703725 Google Scholar

14. Zitron, N. and S. Karp, "High-order approximation in multiple scattering, II: Three dimensional scalar case," J. Math. Phys., Vol. 2, 402, 1961.
doi:10.1063/1.1703726 Google Scholar

15. Nussenzveig, H., "Solution of diffraction problem," Phil. Trans. Roy. Soc., Vol. 252 (A), 1, London, 1959. Google Scholar

16. Hamid, M., "Diffraction by a slit in an infinite conducting screen," The Fall URSI-PGAP Joint Meeting, Ann Arbor, MI, 1967. Google Scholar

17. Hamid, M., "Mutual coupling between sectoral horns side by side," IEEE Trans. Antennas Propagat., Vol. 15, No. 3, 475, 1967.
doi:10.1109/TAP.1967.1138931 Google Scholar

18. Teague, B. and N. Zitron, "Diffraction by an aperture between two wedges," Appl. Sci. Res., Vol. 26, 127, 1972.
doi:10.1007/BF01897842 Google Scholar

19. Iskander, M. and M. Hamid, "Near field broad side coupling between two H-plane sectoral horns," IERE, Vol. 48, No. 12, 623, 1978. Google Scholar

20. Menendez, R. C. and S. W. Lee, "On the role of geometrical optics field in aperture diffraction," IEEE Trans. Antennas Propagat., Vol. 25, No. 5, 688, 1977.
doi:10.1109/TAP.1977.1141651 Google Scholar

21. Morse, P. M. and P. J. Rubentein, "The diffraction of waves by ribbons and by slits," Phys. Rev., Vol. 54, 895, 1938.
doi:10.1103/PhysRev.54.895 Google Scholar

22. Hongo, K. and G. Ishii, "Diffraction of electromagnetic plane wave by thick slit," IERE Trans. Antennas Propagat., Vol. 26, 494, 1978.
doi:10.1109/TAP.1978.1141870 Google Scholar

23. Hongo, K. and Q. A. Naqvi, "Diffraction of electromagnetic wave by disk and circular hole in a perfectly conducting plane," Progress In Electromagnetics Research Symposium, Vol. 68, 113-150, 2007.
doi:10.2528/PIER06073102 Google Scholar

24. Imran, A., Q. A. Naqvi, and K. Hongo, "Diffraction of plane wave by two parallel slits in an infinitely long impedance plane using the method of kobayashi potential," Progress In Electromagnetics Research, Vol. 63, 107-123, 2006.
doi:10.2528/PIER06042601 Google Scholar

25. Clemmow, P. C., "Edge currents in diffraction theory," IRE Trans. Antennas Propagat., Vol. 4, 282-287, 1956. Google Scholar

26. Elsherbeni, A. Z. and M. Hamid, "Diffraction by a wide double wedge," IEEE Trans. Antennas Propagat., Vol. 32, 1262-1265, 1984.
doi:10.1109/TAP.1984.1143231 Google Scholar

27. Elsherbeni, A. Z. and M. Hamid, "Scattering by a cylindrical dielectric shell with inhomogeneous permitivity profiles," Int. J. Electron., Vol. 58, 949-962, 1985.
doi:10.1080/00207218508939090 Google Scholar

28. Lindell, I. V. and A. H. Sihvola, "Perfect electromagnetic conductor," Journal of Electromagnetic Waves and Applications, Vol. 19, No. 7, 861-869, 2005.
doi:10.1163/156939305775468741 Google Scholar

29. Lindell, I. V. and A. H. Sihvola, "Realization of the PEMC boundary," IEEE Trans. Antennas and Propag., Vol. 53, No. 9, 3012-3018, 2005.
doi:10.1109/TAP.2005.854524 Google Scholar

30. Lindell, I. V. and A. H. Sihvola, "Transformation method for problems involving perfect electromagnetic conductor (PEMC) structures," IEEE Trans. Antennas and Propag., Vol. 53, No. 9, 3005-3011, 2005.
doi:10.1109/TAP.2005.854519 Google Scholar

31. Fiaz, M. A., A. Aziz, A. Ghaffar, and Q. A. Naqvi, "High frequency expression for the field in the caustic region of a PEMC gregorian system using Maslov’s method," Progress In Electromagnetics Research, Vol. 81, 135-148, 2008.
doi:10.2528/PIER08010901 Google Scholar

32. Fiaz, M. A., A. Ghaffar, and Q. A. Naqvi, "High frequency expression for the field in the caustic region of a PEMC cylindrical reflector using Maslov's method.," Journal of Electromagnetic Waves and Applications, Vol. 22, 385-397, 2008.
doi:10.1163/156939308784160794 Google Scholar

33. James, G. L., Geometrical Theory of Diffraction for Electromagnetic Waves, 60-65, Peter Peregrinus, 1980.

34. Harrington, R. F., Time-Harmonic Electromagnetic Fields, Chapter 5, McGraw-Hill, 1961.

35. Ruppin, R., "Scattering of electromagnetic radiation by a perfect electromagnetic conductor cylinder," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 13, 1853-1860, 2006.
doi:10.1163/156939306779292219 Google Scholar

36. Ahmed, S. and Q. A. Naqvi, "Electromagnetic scattering from a perfect electromagnetic conductor cylinder burried in a dielectric half space," Progress In Electromagnetics Research, Vol. 78, 25-38, 2008.
doi:10.2528/PIER07081601 Google Scholar

37. Ahmed, S. and Q. A. Naqvi, "Electromagnetic scattering from parallel perfect electromagnetic conductor cylinders of circular cross-sections using an iterative procedure," Journal of Electromagnetic Waves and Applications, Vol. 22, 987-1003, 2008.
doi:10.1163/156939308784150209 Google Scholar

38. Elsherbeni, A. Z. and M. Hamid, "Scattering by a double wedge and a parallel cylinder," International Journal of Electronics, Vol. 60, 367-380, 1986. Google Scholar

39. Keller, J. B., "Diffraction by an aperture," J. Appl. Phys., Vol. 28, 426-444, 1957.
doi:10.1063/1.1722767 Google Scholar

Dr. Muhammad Naveed

Dr. Qaisar Abbas Naqvi

Professor Kohei Hongo