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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 4 — Feb. 13, 2012
  • pp: 4009–4017

Analytic models of spectral responses of fiber-grating-based interferometers on FMC theory

Xiangkai Zeng, Lai Wei, Yingjun Pan, Shengping Liu, and Xiaohui Shi  »View Author Affiliations

Optics Express, Vol. 20, Issue 4, pp. 4009-4017 (2012)

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In this paper the analytic models (AMs) of the spectral responses of fiber-grating-based interferometers are derived from the Fourier mode coupling (FMC) theory proposed recently. The interferometers include Fabry-Perot cavity, Mach-Zehnder and Michelson interferometers, which are constructed by uniform fiber Bragg gratings and long-period fiber gratings, and also by Gaussian-apodized ones. The calculated spectra based on the analytic models are achieved, and compared with the measured cases and those on the transfer matrix (TM) method. The calculations and comparisons have confirmed that the AM-based spectrum is in excellent agreement with the TM-based one and the measured case, of which the efficiency is improved up to ~2990 times that of the TM method for non-uniform-grating-based in-fiber interferometers.

© 2012 OSA

OCIS Codes
(030.1640) Coherence and statistical optics : Coherence
(050.2770) Diffraction and gratings : Gratings
(230.0230) Optical devices : Optical devices
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Fiber Optics and Optical Communications

Original Manuscript: December 2, 2011
Revised Manuscript: January 14, 2012
Manuscript Accepted: January 16, 2012
Published: February 2, 2012

Xiangkai Zeng, Lai Wei, Yingjun Pan, Shengping Liu, and Xiaohui Shi, "Analytic models of spectral responses of fiber-grating-based interferometers on FMC theory," Opt. Express 20, 4009-4017 (2012)

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