Multimode Network Description of a Planar Periodic Metal-Strip Grating at a Dielectric Interface—Part II: Small-Aperture and Small-Obstacle Solutions

Document Type

Article

Publication Date

1-1-1989

Abstract

In Part I of this pair of papers, we developed new multimode equivalent network representations for the scattering of a plane wave incident on a metal-strip grating at an air-dielectric interface. The analytical phrasing led to two Fredholm integral equations of the first kind with singular kernels. In this paper (Part II) we present two analytical small-argument solution procedures for those integral equations, and we derive explicit expressions for the elements of the coupling matrices in the small-aperture and small-obstacle ranges for both TE and TM polarizations. Simple and useful equivalent network descriptions are derived in which all of the network elements are in very simple analytical form. When the discontinuity is “electrically small,” the resulting network becomes dramatically simple. The various networks are discussed together with estimates for their ranges of applicability. Finally, numerical comparisons are presented with an independent numerical reference solution, showing that the new simple networks are indeed very accurate within their ranges of applicability. © 1989 IEEE

Identifier

0024626792 (Scopus)

Publication Title

IEEE Transactions on Microwave Theory and Techniques

External Full Text Location

https://doi.org/10.1109/22.21626

e-ISSN

15579670

ISSN

00189480

First Page

542

Last Page

552

Issue

3

Volume

37

Grant

F49620-85-C-0078

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