Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://revistas.ucr.ac.cr/index.php/matematica/oai
MMDS and 2D scattering problem by cylindrical structure with piece-wise smooth boundary
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Keywords

Modification of the method of discrete sources
piece-wise smooth boundary
accuracy
Modificación del método de fuentes discretas
frontera suave a trozos
precisión

How to Cite

Anyutin, A. P., & Stasevich, V. I. (2006). MMDS and 2D scattering problem by cylindrical structure with piece-wise smooth boundary. Revista De Matemática: Teoría Y Aplicaciones, 13(1), 41–51. https://doi.org/10.15517/rmta.v13i1.267

Abstract

An universal modification of the method of discrete sources (MMDS) was applied for solving 2D Dirichlet or Neumann boundary problem when the scatterer’s contour is a piece-wise smooth contour. The problems of accuracy, choosing auxiliary contours, stable results, location and type of contour’s break points are discussed.

https://doi.org/10.15517/rmta.v13i1.267
PDF (Español (España))

References

Kupradze, V.D. (1967) “On the approximate solutions of problems in mathematical physics”, Journal Success Mathematical Sci. 22: 58–108.

Kyurkchan, A.G. (1986) “Analytical continuation of wave fields”, Journal of Radiotekh. and Electron 31: 1294–1303.

Kyurkchan, A.G. (1986) “Representation of diffraction fields by wave potentials and the method of auxiliary currents in problems of the diffraction of electromagnetic waves”, Journal Radiotekh. and Electron 31: 20–27.

Kyurkchan, A.G.; Sternin, B.Yu.; Shatalov, V.E. (1996) “Singularities of continuation of wave fields”, Journal Usp. Fiz. Nauk 166: 1285–1312.

Obelleiro, F.; Landesa, L.; Rodrigues, J.L.; Pino, M.R.; Sabariego, R.V.; Leviatan, Y. (2001) “Localized iterative generalized multipole technique for large two-dimentional scattering problems” IEEE Tr. on Antennas and Propagation 49: 961–970.

Kaklamani, D.I.; Anastassiu, H.T. (2002) “Aspects of the method of auxiliary sources in computational electromagnetics”, IEEE Antenna and Propagation Magazine 44: 48–64.

Kyurkchan, A.G.; Minaev, S.A.; Soloveichik, A.L. (2001) “A modification of the method of discrete sources based on prior information about singularities of the diffracted field”, Journal of Radiotekh. and Electron 46: 666–672.

Anyutin, A.P.; Kyurkchan, A.G.; Minaev, S.A. (2002) “A modification of the method of discrete sources”, Journal Radiotekh. and Electron 47(8): 955–960.

Anyutin, A.P.; Kyurkchan, A.G.; Minaev, S.A. (2002) “Application of MMDS in 2D and 3D scattering problems”, Proceedings of International Symposium on Antennas JINA 2002 (Vol.2), Nice : 213–216.

Anyutin, A.P.; Kyurkchan, A.G.; Minaev, S.A. (2002) “Universal modification of the 2D and 3D method of discrete sources”, Proceedings of XXVII-th URSI General Assembly, Maastricht, August.

Keller, J.B. (1962) “Geometrical theory of diffraction”, Journal of Opt. Soc. Amer. 52(2): 116–130.

Borovikov, V.A.; Kinber, B.E. (1978) Geometrical Theory of Diffraction. Svyaz, Moscow

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