Method to study diffraction from a stepped grating

Author

Takakura, Yoshitate

Author_Institution

Lab. des Syst. Photoniques, Univ. Louis Pasteur, Strasbourg, France

Volume

45

Issue

11

fYear

1997

fDate

11/1/1997 12:00:00 AM

Firstpage

1702

Lastpage

1703

Abstract

The problem of diffraction from a perfectly conducting periodic surface is solved by means of a coordinate transformation followed by the application of the extinction theorem: an integral equation for the diffracted field is derived. Thanks to the particular feature of the kernel, the solution is written as a converging exponential expansion with its coefficients satisfying a recursion formula. The first term of recurrence can be calculated using one of the boundary conditions so that the problem is solved completely

Keywords

convergence of numerical methods; diffraction gratings; electromagnetic wave diffraction; electromagnetic wave scattering; integral equations; boundary conditions; converging exponential expansion; coordinate transformation; diffracted field; diffraction; extinction theorem; integral equation; kernel; perfectly conducting periodic surface; recursion formula; stepped grating; Boundary conditions; Corrugated surfaces; Differential equations; Diffraction gratings; Eigenvalues and eigenfunctions; Filtering; Integral equations; Kernel; Resonance; Surface waves;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.650087

Filename

650087