Complete transmission through a two-dimensional diffraction grating

Document Type

Article

Publication Date

4-15-2005

Abstract

The propagation of a normally incident electromagnetic plane wave through a two-dimensional metallic grating is modeled and analyzed. The period of the structure A is on the order of the incident wave length λ, but the height of the channel H separating the blocks is very small. Exploiting the small parameter H/A, an approximate transmission coefficient is obtained for the grating. For a fixed frequency this coefficient is O(H/A) except near resonant lengths where it is O(1). That is, for certain widths the structure is transparent. Similarly, for a fixed length the transmission coefficient has the same resonant features as a function of frequency. © 2004 Society for Industrial and Applied Mathematics.

Identifier

16244417187 (Scopus)

Publication Title

SIAM Journal on Applied Mathematics

External Full Text Location

https://doi.org/10.1137/S0036139903427398

ISSN

00361399

First Page

24

Last Page

42

Issue

1

Volume

65

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