To the problem of diffraction by a half-line or a strip: diffraction of a cylindrical wave; calculation of the field on the coordinate plane

Author

Shanin, A.V. ; Mironova, D.A.

Author_Institution

Moscow Univ., Russia

fYear

2001

fDate

2001

Firstpage

223

Lastpage

236

Abstract

A new method is proposed for solving the diffraction problems with piecewise ideal boundaries. According to this method, the initial Helmholtz equation is substituted by a system of matrix equation of order 1. The coefficients of these equations are rational matrix functions of the coordinates. The properties of the coordinate matrix system are close to that of the ordinary differential equations, therefore the new method can be treated as a generalization of the separation of variables. The new technique is demonstrated on two examples: the Sommerfeld half-line problem and the strip problem

Keywords

Helmholtz equations; electromagnetic fields; electromagnetic wave diffraction; matrix algebra; Helmholtz equation; Sommerfeld half-line problem; coefficients; coordinate matrix system; coordinate plane; cylindrical wave diffraction; half-line diffraction; matrix equation; ordinary differential equations; piecewise ideal boundaries; rational matrix functions; separation of variables; strip diffraction; strip problem; Boundary conditions; Differential equations; Diffraction; Eigenvalues and eigenfunctions; Fourier series; Geometry; Gold; Matrices; Scattering; Strips;

fLanguage

English

Publisher

ieee

Conference_Titel

Day on Diffraction 2001. Proceedings. International Seminar

Conference_Location

St.Petersburg

Print_ISBN

5-7997-0366-9

Type

conf

DOI

10.1109/DD.2001.988480

Filename

988480