Wave diffraction from the finite bicone

Autor: Dozyslav B. Kuryliak, O. M. Sharabura
Rok vydání: 2021
Předmět:
Zdroj: Zeitschrift für angewandte Mathematik und Physik. 72
ISSN: 1420-9039
0044-2275
DOI: 10.1007/s00033-021-01577-9
Popis: The problem of axially symmetric TM wave diffraction from the finite, perfectly conducting bicone formed by a pair of finite cones of an arbitrary lengths and opening angles is considered. The problem is formulated in the spherical coordinate system as a mixed boundary value problem for the Helmholtz equation with respect to the unknown diffracted field. The solution of the problem is reduced to the two systems of infinite linear algebraic equations (ISLAE) of the second kind using the mode–matching technique and the analytical regularization procedure. The two different pairs of regularization operators are used for the reduction of each of the initial ISLAE of the first kind to the second one. The unknown expansion coefficients are determined from the ISLAE with the given accuracy by the reduction method. The simple low-frequency approximate solution is obtained. The numerically obtained results are focused on the diffraction from the finite bicone, which also is of practical value.
Databáze: OpenAIRE
Externí odkaz: