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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 23 — Nov. 13, 2006
  • pp: 11002–11011

Design of multichannel DWDM fiber Bragg grating filters by Lagrange multiplier constrained optimization

Cheng-Ling Lee, Ray-Kuang Lee, and Yee-Mou Kao  »View Author Affiliations


Optics Express, Vol. 14, Issue 23, pp. 11002-11011 (2006)
http://dx.doi.org/10.1364/OE.14.011002


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Abstract

We present the synthesis of multi-channel fiber Bragg grating (MCFBG) filters for dense wavelength-division-multiplexing (DWDM) application by using a simple optimization approach based on a Lagrange multiplier optimization (LMO) method. We demonstrate for the first time that the LMO method can be used to constrain various parameters of the designed MCFBG filters for practical application demands and fabrication requirements. The designed filters have a number of merits, i.e., flat-top and low dispersion spectral response as well as single stage. Above all, the maximum amplitude of the index modulation profiles of the designed MCFBGs can be substantially reduced under the applied constrained condition. The simulation results demonstrate that the LMO algorithm can provide a potential alternative for complex fiber grating filter design problems.

© 2006 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(060.2340) Fiber optics and optical communications : Fiber optics components
(230.1480) Optical devices : Bragg reflectors

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: July 28, 2006
Revised Manuscript: October 23, 2006
Manuscript Accepted: October 26, 2006
Published: November 13, 2006

Citation
Cheng-Ling Lee, Ray-Kuang Lee, and Yee-Mou Kao, "Design of multichannel DWDM fiber Bragg grating filters by Lagrange multiplier constrained optimization," Opt. Express 14, 11002-11011 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-23-11002


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