An Approximate Solution for the Scattering of High-Frequency Plane Electromagnetic Waves from a Perfectly Conducting Strip

Majlesi Journal of Telecommunication Devices

مقاله 5، دوره 6، شماره 2، مهر 2017   

نوع مقاله: Articles

نویسندگان

Turgut İKİZ¹؛ Emine AVŞAR AYDIN^{* 2}

¹Çukurova University

²Adana Science and Technology University

چکیده

An analytical method has been developed for the scattering of high-frequency plane electromagnetic waves from a perfectly conducting strip. The solution is much simpler compared to the other methods and gives quite accurate results for ka>>1. Using Green’s Theorem, the scattering field has been expressed by an integral of the current induced on the strip. With the integral expression of Hankel function, a Fourier transform of the induced current and thus, an integral equation in spectral domain has been derived. Using some required transformation on the induced surface current, the obtained spectral equation has been reduced to its simplest form and then an approximate solution could be derived for the reduced spectral equation for ka>>1. Using this approximate solution the field related quantities such as radiation pattern and radar cross section can be obtained easily; but the induced current and current related quantities requires the numerical solution of the algebraic set of equations obtained by expressing the current in the form of an infinite series which satisfies the boundary conditions on the surface of the conducting strip.

کلیدواژه‌ها

strip؛ en؛ impedance؛ Scattering؛ Perfect Conductor

مراجع

[1] T. İkiz, S. Koshikawa and K. Kobayashi, E. İ. Veliev and A. H. Serbest,”Solution of the plane wave diffraction problem by an impedance strip using a numerical-analytical method: E-polarized case”, Journal of Electromagnetic Waves and Applications, Vol. 15, No. 3, pp. 291-436, 2001.

[2] Bowman, J. J., “High-frequency backscattering from an absorbing infinite strip with arbitrary face impedance,” Canadian Journal of Phys., Vol. 45, 2409-2430, 1967.

[3] Butler, C. M., “General solution of the narrow strip integral equations,” IEEE Trans. On Ant. And Proc., Vol. AP-33, No. 10, 1085-1090, 1985.

[4] Büyükaksoy, A. A. H. Serbest, and G. Uzgören, “Secondary diffraction of plane waves by an impedance strip,” Radio Science, Vol. 24, 455-464, 1989.

[5] Grinberg, G. A., “Diffraction of electromagnetic waves by strip of finite width,” Soviet Phys. Dokland, Vol. 4, No. 6, 1222-1225, 1960.

[6] Herman, M. I. and J. L. Volakis, “High frequency scattering by a resistive strip and extensions to conductive and impedance strips,” Radio Science, Vol. 22, No. 3, 335-349, 1987.

[7] Senior, T. B. A., “Backscattering from resistive strips,” IEEE Trans. on Ant. and Proc., Vol. AP-27, No. 6, 808-813, 1979.

[8] Serbest, A. H. and A. Büyükaksoy, “Some approximate methods related to the diffraction by strips and slits,” M. Hashimoto, M. İdemen, and O. A. Tretyakov, “Analytical and numerical methods in electromagnetic wave theory,” Science House, 229-256, Japan, 1993.

[9] Tiberio, R. and R. G. Kouyoumjian, “A uniform GTD solution for the diffraction by strips illuminated at grazing incidence,”Radio Science, Vol. 14, No. 6, 933-941, 1979.

[10] Volakis, J. L. and S. S. Bindiganavale, “Scattering by a narrow groove in an impedance plane,” Radio Science, Vol. 31, No. 2, 401-408, 1996.

[11] Burnside, W. D., C. L. Yu, and R. J. Marhefka, “A technique to combine the geometrical theory of diffraction and the moment method,” IEEE Trans. on Ant. and Proc., Vol. AP-23, 551-558, 1975.

[12] Sahalos, J. N. and G. A. Thiele, “On the application of the GTD-MM technique and its limitations,” IEEE Trans. on Ant. and Proc., Vol. AP-29, 780-786, 1981.

[13] Thiele, G. A. and T. H. Newhouse, “A hybrid technique for combining moment method with the geometrical theory of diffraction,” IEEE Trans. on Ant. and Proc., Vol. AP-23, 62-69, Jan. 1975.

[14] Medgyesi, L. N. and D. S. Wang, “Hybrid methods for analysis of complex scatterers,” Proc. of the IEEE, Vol. 77, No. 5, 770-779, 1989.

[15] Veliev, E. I., V. V. Veremey, and V. P. Shestopalov, “Electromagnetic wave diffraction on polygonal cylinders-new approach,” Proc. of 1989 URSI Int. Symp. On Electromagnetic Theory, 628, 1989.

[16] C. Su and T. K. Sarkar, “Scattering from perfectly conducting strips by utilizing an adaptive multiscale moment method,” Progress in Electromagnetics Research, PIER, Vol. 19, 173-197, 1998.