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Plane wave scattering by an infinite array of semi-infinite thick plates

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Języki publikacji
EN
Abstrakty
EN
The problem of plane electromagnetic wave scattering by periodic system of semi-infinite thick plates of rectangular shape is solved in this paper. The case of TM-polarization is considered in this paper. The field distribution in the free space region above the plates is found in the form of series of spatial harmonics in accordance with the Floquet's theorem. In the plate region the field is found in the form of parallel-plate waveguide modes. The continuity condition for tangential components of electric and magnetic field vectors is applied in order to find unknown partial wave amplitudes. To satisfy the boundary conditions and the singular behavior of the electric field vector near the plate edges, the use is made of the known properties of certain Fourier expansion with corresponding coefficients being properly chosen Legendre functions. The final rigorous solution is given in the form of infinite series of spatial harmonics with unknown coefficients being the solution of the corresponding doubly infinite system of linear equations which can be solved only numerically.
Rocznik
Strony
147--162
Opis fizyczny
Bibliogr. 21 poz., wykr.
Twórcy
  • Institute of Fundamental Technological Research, Polish Academy of Sciences, Świętokrzyska 21, 00-049 Warszawa, Poland, yurijtas@ippt.gov.pl
Bibliografia
  • 1. J. F. KARSON, A. E. HEINS, The reflection of an electromagnetic wave by an infinite set of plates, Quart. Appl. Math., 4, 313-329, 1947; ibid., 5, 82-88, 1947.
  • 2. F. BERZ, Reflection and refraction of microwaves at a set of parallel metallic plates, Proc. IEE (London), 98, 3, 47-55, 1951.
  • 3. E. A. N. WHITEHEAD, The theory of parallel plate media for microwave lenses, Proc. IEE (London), 98, 3, 133-140, 1951.
  • 4. R. MITTRA, S. W. LEE, Analytical techniques in the theory of guided waves, The Macmillan Company, New York 1971.
  • 5. R. PRIMICH, A semi-infinite array of parallel metallic plates of finite thickness for microwave systems, IRE Trans. Microwave Theory and Techniques, MTT-4, 156-166, July 1956.
  • 6. S. W. LEE, Radiation from an infinite array of parallel plate waveguides with thick walls, IEEE Trans. Microwave Theory and Techniques, MTT-15, 364-371, June 1967.
  • 7. V. GALINDO, C. P. WU, Numerical solutions for an infinite phased array of rectangular waveguides with thick walls, IEEE Trans, on Antennas and Propagation, AP-14, 149—158, March 1966.
  • 8. G. F. VANBLARICUM, JR., R. MITTRA, A modified residue-calculus technique for solving a class of boundary value problems-Parti I: Waveguide phased arrays, modulated surfaces, and diffraction gratings, IEEE Trans. Microwave Theory and Techniques, MTT-17, 6, 310-319, June 1969.
  • 9. Y. CAI, C. MIAS, Finite-element time-domain modelling of broadside radiation from a 2D parallel-plate waveguide antenna array, in Proc. of the 36th European Microwave Conference, pp. 5-8, September 2006.
  • 10 K. K. CHEN, M. ROSOWSKI, Field analysis of a ridged parallel plate waveguide array, [in:] Proc. IEEE Intern. Conference on Phased Array Systems and Technology, pp. 445-447, 2000.
  • 11. A. BUYUKAKSOY, B. POLAT, Plane wave diffraction by a thick-walled parallel-plate impedance waveguide, IEEE Trans. Antennas and Propagation, 46, 11, 1691-1699, 1998.
  • 12. Y. HAMES., I. H. TAYYAR, Plane wave diffraction by dielectric loaded thick-walled parallel-plate impedance waveguide, Progress In Electromagnetics Research, PIER 44, 143-167, 2004.
  • 13. A. ERDELYI, W. MAGNUS, F. OBERHETTINGER, F. G. TRICOMI, Higher transcendental functions, McGraw-Hill, 1, para. 3.10, New York 1953.
  • 14. E. DANICKI, B. LANGLI, K. BLØTEKJER, Spectral theory of EM wave scattering by periodic strips, IEEE Trans. Antennas and Propagation, 43, 1, 97-104, 1995.
  • 15. D. P. MORGAN, Surface acoustic wave devices, Elsevier, 1991.
  • 16. E. DANICKI, Strips electrostatic - spectral approach, [in:] Proc. IEEE Intern. Ultras. Symp., pp. 193-196, 1996.
  • 17. Y. TASINKEVYCH, Methods of IDT charge spatial spectrum evaluation, J. Tech. Phys., 45, 2, 155-172, 2004.
  • 18. Y. TASINKEVYCH, Numerical efficiency of interdigital transducers charge spatial spectrum evaluation methods, Ph.D. Thesis, Polish Academy of Sciences, IFTR, Warsaw 2004.
  • 19. A. KUFNER, J. KADLEC, Fourier Series, London: Iliffe Books, 1971.
  • 20. V. P. SHESTOPALOV, L. N. LITVINENKO, S. A. MASALOV, V. G. SOLOGUB, Diffraction of waves by gratings [in Russian], Kharkov. University, Kharkov 1973.
  • 21. W. H. PRESS, S. A. TEUKOLSKY, W. T. VETTERLING, B. P. FLANNERY, Numerical recipes in C. The art of scientific computing. Second Ed., Cambridge University Press, 1992.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BAT5-0027-0017
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