Analytical Regularization Method for bodies and screens of revolution with Neumann boundary conditions

Yu A. Tuchkin; E. D. Vinogradova

doi:10.1109/ICEAA.2013.6632494

Analytical Regularization Method for bodies and screens of revolution with Neumann boundary conditions

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

Abstract

A detailed explanation of a mathematically rigorous method for numerical simulation of scalar wave diffraction by bodies and infinitely thin screens of revolution is given. The method reduces the diffraction problem to an equivalent system of equations of the second kind that permits numerical solution to be obtained with any predetermined accuracy. The method employs an accumulated set of techniques of the Analytical Regularization Method. The set involves a 'contour closing procedure', proper scaling of the kernel of the corresponding differential-integral equation, Abel integral transforms, techniques of Dual Series Equation involving Jacoby polynomials and Legendre functions, and related ideas.

Original language	English
Title of host publication	Proceedings of the 2013 International Conference on Electromagnetics in Advanced Applications, ICEAA 2013
Place of Publication	Piscataway, NJ
Publisher	Institute of Electrical and Electronics Engineers (IEEE)
Pages	1485-1488
Number of pages	4
ISBN (Electronic)	9781467357050, 9781467357074
ISBN (Print)	9781467357067
DOIs	https://doi.org/10.1109/ICEAA.2013.6632494
Publication status	Published - 2013
Event	2013 15th International Conference on Electromagnetics in Advanced Applications, ICEAA 2013 - Turin, Italy Duration: 9 Sept 2013 → 13 Sept 2013

Other

Other	2013 15th International Conference on Electromagnetics in Advanced Applications, ICEAA 2013
Country/Territory	Italy
City	Turin
Period	9/09/13 → 13/09/13

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10.1109/ICEAA.2013.6632494

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Tuchkin, Y. A., & Vinogradova, E. D. (2013). Analytical Regularization Method for bodies and screens of revolution with Neumann boundary conditions. In Proceedings of the 2013 International Conference on Electromagnetics in Advanced Applications, ICEAA 2013 (pp. 1485-1488). Article 6632494 Institute of Electrical and Electronics Engineers (IEEE). https://doi.org/10.1109/ICEAA.2013.6632494

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title = "Analytical Regularization Method for bodies and screens of revolution with Neumann boundary conditions",

abstract = "A detailed explanation of a mathematically rigorous method for numerical simulation of scalar wave diffraction by bodies and infinitely thin screens of revolution is given. The method reduces the diffraction problem to an equivalent system of equations of the second kind that permits numerical solution to be obtained with any predetermined accuracy. The method employs an accumulated set of techniques of the Analytical Regularization Method. The set involves a 'contour closing procedure', proper scaling of the kernel of the corresponding differential-integral equation, Abel integral transforms, techniques of Dual Series Equation involving Jacoby polynomials and Legendre functions, and related ideas.",

author = "Tuchkin, {Yu A.} and Vinogradova, {E. D.}",

year = "2013",

doi = "10.1109/ICEAA.2013.6632494",

language = "English",

isbn = "9781467357067",

pages = "1485--1488",

booktitle = "Proceedings of the 2013 International Conference on Electromagnetics in Advanced Applications, ICEAA 2013",

publisher = "Institute of Electrical and Electronics Engineers (IEEE)",

address = "United States",

note = "2013 15th International Conference on Electromagnetics in Advanced Applications, ICEAA 2013 ; Conference date: 09-09-2013 Through 13-09-2013",

}

Tuchkin, YA & Vinogradova, ED 2013, Analytical Regularization Method for bodies and screens of revolution with Neumann boundary conditions. in Proceedings of the 2013 International Conference on Electromagnetics in Advanced Applications, ICEAA 2013., 6632494, Institute of Electrical and Electronics Engineers (IEEE), Piscataway, NJ, pp. 1485-1488, 2013 15th International Conference on Electromagnetics in Advanced Applications, ICEAA 2013, Turin, Italy, 9/09/13. https://doi.org/10.1109/ICEAA.2013.6632494

Analytical Regularization Method for bodies and screens of revolution with Neumann boundary conditions. / Tuchkin, Yu A.; Vinogradova, E. D.
Proceedings of the 2013 International Conference on Electromagnetics in Advanced Applications, ICEAA 2013. Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE), 2013. p. 1485-1488 6632494.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

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AB - A detailed explanation of a mathematically rigorous method for numerical simulation of scalar wave diffraction by bodies and infinitely thin screens of revolution is given. The method reduces the diffraction problem to an equivalent system of equations of the second kind that permits numerical solution to be obtained with any predetermined accuracy. The method employs an accumulated set of techniques of the Analytical Regularization Method. The set involves a 'contour closing procedure', proper scaling of the kernel of the corresponding differential-integral equation, Abel integral transforms, techniques of Dual Series Equation involving Jacoby polynomials and Legendre functions, and related ideas.

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Tuchkin YA, Vinogradova ED. Analytical Regularization Method for bodies and screens of revolution with Neumann boundary conditions. In Proceedings of the 2013 International Conference on Electromagnetics in Advanced Applications, ICEAA 2013. Piscataway, NJ: Institute of Electrical and Electronics Engineers (IEEE). 2013. p. 1485-1488. 6632494 doi: 10.1109/ICEAA.2013.6632494

Analytical Regularization Method for bodies and screens of revolution with Neumann boundary conditions

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