Mathematical modeling of Fabry-Perot resonators: II. Uniformly converging multimode equivalent-circuit models

Based on complex-variable analysis of a Fabry-Perot resonator as a multimode nonsymmetric two-port waveguide device, two versions of equivalent-circuit configurations are presented: Starting from a renewed study on single-mode two-pole circuits, we develop two respective multimode equivalent circuit...

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Veröffentlicht in:Journal of the Optical Society of America. A, Optics, image science, and vision Optics, image science, and vision, 2014-02, Vol.31 (2), p.411-420
1. Verfasser: Song, G Hugh
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description Based on complex-variable analysis of a Fabry-Perot resonator as a multimode nonsymmetric two-port waveguide device, two versions of equivalent-circuit configurations are presented: Starting from a renewed study on single-mode two-pole circuits, we develop two respective multimode equivalent circuits of an almost identical configuration: one for the reflection coefficient and the other for the pass-through transmission coefficient. In the mathematics language of complex-variable analysis, the two models successfully "approximate" the two scattering coefficients through two "uniformly converging" partial-fraction series expansions.
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subjects Approximation
Circuits
Equivalence
Fabry-Perot
Mathematical models
Reflection coefficient
Resonators
Series expansion
title Mathematical modeling of Fabry-Perot resonators: II. Uniformly converging multimode equivalent-circuit models
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