Scalar Wave Diffraction by a Perfectly Soft Infinitely Thin Circular Ring

Authors

FATİH DİKMEN
ERTUĞRUL KARAÇUHA
YURY ALEXANDEROVICH TUCHKIN

DOI

-

Abstract

A new strong mathematically rigorous and numerically effective method for solving the boundary value problem of scalar (for example acoustic) wave diffraction by a perfectly soft (Dirichlet boundary condition) infinitely thin circular ring is proposed. The method is based on the combination of the Orthogonal Polynomials Approach, and on the ideas of the methods of analytical regularization. As a result of the suggested regularization procedure, the initial boundary value problem is equivalently reduced to the infinite system of the linear algebraic equations of the second kind, i.e., to an equation of the type ( (I + H) x = b ) in the space of ( ell_{2} ) square summable sequences. This equation can be solved numerically by means of the truncation method with, in principle, any required accuracy.

First Page

199

Last Page

220

Recommended Citation

DİKMEN, FATİH; KARAÇUHA, ERTUĞRUL; and TUCHKIN, YURY ALEXANDEROVICH (2001) "Scalar Wave Diffraction by a Perfectly Soft Infinitely Thin Circular Ring," Turkish Journal of Electrical Engineering and Computer Sciences: Vol. 9: No. 2, Article 8. Available at: https://journals.tubitak.gov.tr/elektrik/vol9/iss2/8