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

OAI: https://revistas.ucr.ac.cr/index.php/matematica/oai
Scattering of E polarized whispering-gallery mode from concave boundary
Vol. 12 No. 1-2 (2005), Articles
Vol. 12 No. 1-2 (2005)

Scattering of E polarized whispering-gallery mode from concave boundary

Articles
https://doi.org/10.15517/rmta.v12i1-2.256
Published February 1, 2005
Alexander P. Anyutin
Russian New University, Radio Street 22, 107005 Moscow, Russia
V. I. Stasevich
Russian New University 60-2-94, Novocheremushkinskaya UI 117420 Moscow, Russia
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Keywords

Scattering problem
E polarized whispering-gallery mode
concave boundary
integral equation of the first kind
numerical solution
Problema de dispersión
modo de galería susurrante E polarizada
frontera cóncava
ecuación integral de primer tipo
solución numérica

How to Cite

Anyutin, A. P., & Stasevich, V. I. (2005). Scattering of E polarized whispering-gallery mode from concave boundary. Revista De Matemática: Teoría Y Aplicaciones, 12(1-2), 121–128. https://doi.org/10.15517/rmta.v12i1-2.256
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Abstract

In this work we present numerical results for the 2D problem of scattering E polarised whispering-gallery mode from concave convex perfectly conducting boundary. The results were obtained by applying the developed method of currants integral equations (CIE) [6,7] for high frequency domain when the size of the scatterer match is greater than the wave length. We have applied the described procedure in order to find numerical solutions of scattering whispering-gallery mode by concave finite convex boundary as a part of a circular cylinder or part of parabolic cylinder. As incident wave we have considered cylindrical waves from line source and Gauss beam [6] with different effective width. It is shown that we have a complicated process of focusing and oscillating of the beam’s reflected field, both cylindrical and Gauss beam incident fields. The distortions of reflected field depend on shape of the boundary and parameters of the incident fields.

https://doi.org/10.15517/rmta.v12i1-2.256
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References

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Buldyrev, V.S.; Lanin, A. I. (1981) “Radiation field of whispering-gallery waves over a concave-convex boundary”, in: Zapiski Nauchnykh SeminarovLeningr. Otdeleniya Matematicheskogo Instituta im. V.A. Steklova ANSSSR, vol. 104: 49–65.

Goto, K.; Ishihara, T.; Felsen, L.B. (2002) “High-frequency (whispering-gallery mode)-to beam conversation on a perfectly conducting concave-convex boundary”, IEEE Trans. Antennas Propagat. AP-50: 1109–1119.

Borovikov, V.A.; Kinber, B.E. (1987) Geometrical Theory of Diffraction. Svyuz, Moscow.

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Kyurkchan, A.G.; Anyutin, A.P. (2002) “Method of prolonged boundary conditions and wavelets”, Reports of the Russian Academy 385(3): 309–313.

Chui, C.K. (1997) Wavelets: A Mathematical Tool for Signal Analysis. SIAM, Philadelphia.

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