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Electromagnetic wave scattering by a periodic array of semi-infinite thick-walled parallel plate waveguides is studied in this paper. The cases of TE and TM polarization of an incident plane harmonic wave are considered separately. The scattered field above the waveguides is sought in the form of a series of spatial harmonics in accordance with the Floquet's theorem, whereas in the waveguide regions it is sought in the form of parallel plate waveguide modes. To satisfy the boundary and edge conditions by field components in the free space above the array, the Fourier expansion for spatial harmonics amplitudes with corresponding coefficients, being properly chosen Legendre functions, is exploited. The unknown coefficients are the solutions of certain doubly infinite systems of linear equations. The approximate solution is found numerically.
Czasopismo
Rocznik
Tom
Strony
41--53
Opis fizyczny
Bibliogr. 15 poz., wykr.
Twórcy
autor
- Institute of Fundamental Technological Research, Polish Academy of Sciences, Pawińskiego 5b, 02-106 Warszawa, Poland, yurijtas@ippt.gov.pl
Bibliografia
- 1. E.A.N. WHITEHEAD, The theory of parallel plate media for microwave lenses, Proc. IBE (London), 98, 3, 133-140, 1951.
- 2. R. MITTRA, S.W. LEE, Analytical techniques in the theory of guided waves, The Macmillan Company, New York 1971.
- 3. S.W. LEE, Radiation from an infinite array of parallel plate waveguides with thick walls, IEEE Trans. Microwave Theory and Tech., MTT-15, 6, 364-371, June 1967.
- 4. R. PRIMICH, A semi-infinite array of parallel metallic plates of finite thickness for microwave systems, IRE Trans. Microwave Theory and Techniques, MTT-4, 7, 156-166, July 1956.
- 5. V. GALINDO, C.P. WU, Numerical solutions for an infinite phased array of rectangular waveguides with thick wall, IEEE Trans, on Antennas and Propagation, AP-14, 3, 149-158, March 1966.
- 6. Y. CAI, C. MIAS, Finite-element time-domain modeling of broadside radiation from a 2D parallel-plate waveguide antenna array, Proc. 36th European Microwave Conf., pp. 5-8, Manchester, UK, Sept. 2006.
- 7. Y. TASINKEVYCH, Plane wave scattering by an infinite array of semi-infinite thick plates, J. Tech. Phys., 48, 3-4, 147-162, 2007.
- 8. Y. TASINKEVYCH, Scattering of H-polarized wave by a periodic array of thick-walled parallel plate waveguides, IEEE Trans. Antennas and Propagation, 56, 10, 3333-3337, October 2008.
- 9. R.E. COLLIN, Field theory of guided waves, New York, McGraw-Hill, 1960.
- 10. E. DANICKI, B. LANGLI, K. BLØTBKJÆR, Spectral theory of EM wave scattering by periodic strips, IEEE Trans. Antennas and Propagation, 43, 1, 97-104, Jan. 1995.
- 11. K. UCHIDA, T. NODA, T. MATSUNAGA, Electromagnetic wave scattering by an infinite plane metallic grating in case of oblique incidence and arbitrary polarization, IEEE Trans. Antennas and Propagation, 36, 3, 415-422, March 1988.
- 12. A. ERDÉLYI, W. MAGNUS, F. OBERHETTINGER, F.G. TRICOMI, Higher Transcendental Functions, New York, McGraw-Hill, Vol. 1, Sect. 3.10., 165-168, 1953.
- 13. V.P. SHESTOPALOV, L.N. LITVINENKO, S.A. MASALOV, V.G. SOLOGUB, Diffraction of Waves by Gratings, [in Russian], Kharkov, Ukraine, Kharkov University Publishers, 1973.
- 14. W.H. PRESS, S.A. TEUKOLSKY, W.T. VETTERLING, B.P. FLANNERY, Numerical Recipes in C. The art of scientific computing, Second Ed. Cambridge, UK: Cambridge University Press, 1992.
- 15. W.H. KENT, S.W. LEE, Diffraction by an infinite array of parallel strips, J. Math. Phys., 13, 12, 1926-1930, Dec. 1972.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0037-0016