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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Franco Gori
  • Vol. 31, Iss. 2 — Feb. 1, 2014
  • pp: 411–420

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

G. Hugh Song  »View Author Affiliations


JOSA A, Vol. 31, Issue 2, pp. 411-420 (2014)
http://dx.doi.org/10.1364/JOSAA.31.000411


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Abstract

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.

© 2014 Optical Society of America

OCIS Codes
(050.2230) Diffraction and gratings : Fabry-Perot
(250.5300) Optoelectronics : Photonic integrated circuits
(070.5753) Fourier optics and signal processing : Resonators

ToC Category:
Diffraction and Gratings

History
Original Manuscript: September 17, 2013
Manuscript Accepted: December 12, 2013
Published: January 30, 2014

Citation
G. Hugh Song, "Mathematical modeling of Fabry–Perot resonators: II. Uniformly converging multimode equivalent-circuit models," J. Opt. Soc. Am. A 31, 411-420 (2014)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-31-2-411


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References

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