Scattering matrix analysis of a photonic Fabry-Perot resonator

Document Type

Article

Publication Date

1-1-2003

Abstract

The scattering and transmission of waves through a two-dimensional photonic Fabry-Perot resonator are analyzed and studied using scattering matrix theory. Assuming normal incidence, single mode propagation, and sufficient inter-element spacing in the direction of propagation, the mathematical structure of this complicated scattering problem is shown to hinge on the roots of a quadratic equation. Examples are presented which clearly show strong resonances at frequencies closely related to an infinite cavity structure. Trends are illustrated and discussed. Finally, a multimode theory is presented, analyzed, and contrasted with the single mode case. © 2003 Elsevier Science B.V. All rights reserved.

Identifier

0037212685 (Scopus)

Publication Title

Wave Motion

External Full Text Location

https://doi.org/10.1016/S0165-2125(02)00014-8

ISSN

01652125

First Page

43

Last Page

61

Issue

1

Volume

37

Grant

DMS0071368

Fund Ref

National Science Foundation

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