Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 75 > pp. 303-318


By A. Imran, Q. A. Naqvi, and K. Hongo

Full Article PDF (395 KB)

This paper investigates the scattering of electromagnetic plane wave from an impedance strip. Both E- and H-polarizations are considered. The method of analysis is Kobayashi potential, which uses the discontinuous properties of Weber-Schafheitlin's integrals. Imposition of boundary conditions result in dual integral equations. Using the projection, equations reduces to matrix equations. The elements are given in terms of infinite integrals that contains the poles for particular values of surface impedance and these integrals are computed numerically. Far diffracted fields in the upper half space for different angles of incident are computed. To check the validity of the results, we have derived the physical optics (PO) approximate solutions. Numerical results for both the methods are compared. The agreement is good. Current distribution on the strip is also presented.

Citation: (See works that cites this article)
A. Imran, Q. A. Naqvi, and K. Hongo, "Diffraction of Electromagnetic Plane Wave by an Impedance Strip," Progress In Electromagnetics Research, Vol. 75, 303-318, 2007.

1. Grinberg, G. A., "Diffraction of electromagnetic waves by a strip of finite width," Soviet Phys. Doklady, Vol. 4, 1222-1225, 1960.

2. Hansen, E. B., "Scalar diffraction by infinite strip and circular disk," J. Math. Phys., Vol. 41, 229-245, 1962.

3. Jones, D. S. and B. Nobel, The low frequency scattering by a perfectly conducting strip, Proc. Cambridge Phil. Soc., Vol. 57, 364-366, 1961.

4. Fialkovskiy, A. T., "Diffraction of planar electromagnetic waves by a slot and a strip," Radio Eng. Electron., Vol. 2, 150-157, 1966.

5. Herman, M. I. and J. L. Volakis, "High frequency scattering by a resistive strip and extensions to conductive and impedance strips," Radio Sci., Vol. 22, No. 6, 335-349, 1987.

6. Buyukaksoy, A., O. Bicakci, and A. H. Serbest, "Diffraction of an E-polarized plane wave by a resistive strip located on a dielectric interface," Journal of Electromagnetic Waves and Applications, Vol. 8, 575-590.

7. Buyukaksoy, A. and G. Uzgoren, "Secondary diffraction of a plane wave by a metal-LIC wide strip residing on the plane interface of two dielectric media," Radio Science, Vol. 22, No. 3, 183-191, 1987.

8. Barkeshli, K. and J. L. Volakis, "Electromagnetic scattering by thin strips Part I-Analytical solutions for wide and narrow strips," IEEE Trans. Edu., Vol. 47, No. 1, 100-106, 2004.

9. Barkeshli, K. and J. L. Volakis, "Electromagnetic scattering by thin strips Part II-Numerical solution for strips of arbitrary size," IEEE Trans. Education, Vol. 47, No. 1, 100-106, 2004.

10. Buyukaksoy, A. and E. Erdogan, "High-frequency diffraction of a plane wave by a two-part impedance strip," International Journal of Engineering Science, Vol. 27, 87-95, 1989.

11. Waterman, P. C., "Exact theory of scattering by conducting strips," AvcoCorporationRes.ReportRAD-TM-63-78.1963., 63-78, 1963.

12. Tranter, C. J., "A further note on dual integral equations and an application to the diffraction of electromagnetic waves," Quart. J. Mec. Appl. Math., Vol. 7, 317-325, 1954.

13. Nobel, B., Integral Equation Perturbation Methods in Low Frequency Diffraction in Electromagnetic Waves, 323-360, R. Langer (ed.), 323-360, 1962.

14. Grinberg, G. A., "A method for solving problems of the diffraction of electromagnetic waves by ideally conducting plane screens based on the study of currents induced on the shaded side of the screen," Soviet Phys.-Techn. Phys., Vol. 3, 521-534, 1958.

15. Levine, H. and J. Schwinger, "On the theory electromagnetic wave diffraction by an aperture in an infinite plane conducting screen," Cummun. Pure Appl. Math., Vol. 3, 494-499, 1978.

16. Kieburtz, R. B., "Construction of asymptotic solutions to scattering problems in the Fourier transform representation," Appl. Sci. Res., Vol. B12, 221-234, 1965.

17. Birbir, F. and A. Buyukaksoy, "Plane-wave diffraction by a wide slit in a thick impedance screen," J. Electromagnetic. Waves Appl., Vol. 10, No. 6, 803-826, 1996.

18. Serbest, A. H. and A. Buyukaksoy, "Some approximate methods related to the diffraction by strips and slits," Analytical and Numerical Methods in Electromagnetic Wave Theory, 1993.

19. Keller, J. B., "A geometric theory of diffraction, in calculus of variations and its applications," Symp. Appl. Math., Vol. 8, 27-52, 1962.

20. Al Sharkawy, M. H., V. Demir, and A. Z. Elsherbeni, "The iterative multi-region algorithm using a hybrid finite difference frequency domain and method of moment techniques," Progress In Electromagnetics Research, Vol. 57, 19-32, 2006.

21. Cmar, G. and A. Buyukaksoy, "A hybrid method for the solution of plane wave diffraction by an impedance loaded parallel plate waveguide," Progress In Electromagnetics Research, Vol. 60, 293-310, 2006.

22. Guiliano, M., 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.

23. Sneddon, I. N., Boundary value Problems in Potential Theory, North-Holland, Amsterdam, The Netherlands, 1966.

24. Kobayashi, I., "Darstellung eines potentials in Zylindrischen Koordinaten, das sich auf einer ebene innerhalb und ausserhalb einer gewissen Kreisbegrenzung verschiedener Grenzbendingung unterwirft," Sci. Rep., Vol. 20, 197-212, 1931.

25. Nomura, Y., "The electrostatic problems of two equal parallel circular plates," Pro. Phys. Math. Soc. Japan, Vol. 23, 168-180, 1941.

26. Takahashi, M. and K. Hongo, "Capacitance of coupled circular microstrip disks," IEEE Trans. Microwave Theory Tech., Vol. MTT-30, No. 11, 1881-1888, 1982.

27. Nomura, Y. and N. Kawai, "On the acoustic field by a vibrating source arbitrarily distributed on a plane circular plate," Sci. Rep., Vol. 33, No. 4, 197-207, 1949.

28. Otsuki, T., "Diffraction of an acoustic wave by a rigid rectangular plate," J. Phys. Soc. Japan, Vol. 19, No. 9, 1733-1741, 1964.

29. Hongo, K. and H. Serizawa, "Diffraction of electromagnetic plane wave by a rectangular plate and a rectangular hole in the conducting plate," IEEE Trans. on Antennas and Propagation, Vol. 47, No. 6, 1029-1041, 1999.

30. 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.

31. Hongo, K. and Q. A. Naqvi, "Diffraction of electromagnetic wave by disk and circular hole in a perfectly conducting plane," Progress In Electromagnetics Research, Vol. 68, 113-150, 2007.

32. Hongo, K., "Diffraction by a anged parallel-plate waveguide," Radio Science, Vol. 10, 955-963, 1972.

© Copyright 2014 EMW Publishing. All Rights Reserved