Abstract
An efficient method is proposed for solving the problem of electromagnetic wave diffraction by dielectric bodies of complex shapes. Scattering patterns are decomposed in vector spherical harmonics to reduce the problem to a system of algebraic equations. It is shown that the method exhibits a high convergence rate that depends on the complexity of a scatterer’s boundaries only slightly. Examples of simulation of the characteristics of wave scattering by various complex bodies are considered. The correctness of the obtained data is verified through checking the fulfillment of the optical theorem.
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References
R. Saija, M. A. Iati, P. Denti, et al., Appl. Opt. 42, 2785 (2003).
A. G. Kyurkchan and E. A. Skorodoumova, J. Quant. Spec. Radiat. Trans. 100(1–3), 207 (2006).
A. G. Kyurkchan and E. A. Skorodoumova, J. Quant. Spec. Radiat. Trans. 109, 1417 (2008).
D. L. Colton, R. Kress, Integral Equation Methods in Scattering Theory (Wiley, New York, 1983; Mir, Moscow, 1987).
C. H. Papas, Theory of Electromagnetic Wave Propagation (McGraw-Hill, New York, 1965).
N. Ya. Vilenkin, Special Functions and the Theory of Group Representations (Nauka, Moscow, 1965; American Mathematical Society, Providence, R.l., 1968).
Ya. N. Fel’d and L. S. Benenson, Fundamentals of the Theory of Antennas (Drofa, Moscow, 2007) [in Russian].
S. Stein, Quarterly Appl. Math. 19(1), 15 (1961).
O. R. Cruzan, Quarterly Appl. Math. 20(1), 33 (1962).
B. U. Felderhof and R. B. Jones, J. Math. Phys. 26, 836 (1987).
C. F. Bohren and D. R. Huffman, Absorption and Scattering of Light by Small Particles (Wiley, New York, 1983; Mir, Moscow, 1986).
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Original Russian Text © A.G. Kyurkchanm, E.A. Skorodumova, 2009, published in Radiotekhnika i Elektronika, 2009, Vol. 54, No. 6, pp. 659–670.
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Kyurkchan, A.G., Skorodumova, E.A. Solution of the problem of electromagnetic wave diffraction by complex dielectric bodies by means of the pattern equation method. J. Commun. Technol. Electron. 54, 625–636 (2009). https://doi.org/10.1134/S1064226909060023
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DOI: https://doi.org/10.1134/S1064226909060023