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Title: Lagrange-multiplier-constrained Optimization for Designing Narrowband Dispersionless Fiber Bragg Gratings
Authors: Lee, Cheng-Ling;Lee, Ray-Kuang;Kao, Yee-Mou
Contributors: 物理學系
Keywords: Dispersionless fiber Bragg gratings FBGs;Lagrange-multiplierconstrained optimization LMCO;Grating synthesis
Date: 2008-01
Issue Date: 2012-09-10T06:39:00Z
Publisher: SPIE
Abstract: This paper presents a new synthesis method for designing
complex fiber Bragg gratings FBGs . The method is based on a multiobjective
Lagrange-multiplier-constrained optimization LMCO , to which
various constraints on the designed filters can be added in consideration
of practical application demands and fabrication requirements. The maximum
amplitude of the index modulation profiles of the designed FBGs
can be substantially reduced under constrained conditions. In contrast
with the layer-peeling LP algorithm, the LMCO method can easily incorporate
different types of requirements in terms of a user-defined cost
function. Compared to stochastic approaches such as genetic algorithms,
the proposed method is likewise a direct optimization method, but
without using random numbers, and therefore has a smoother coupling
coefficient profile as well as faster convergence. A theoretical model and
investigation have been made in this study. A narrowband dispersionless
FBG filter for optical fiber communication was designed, and its simulation
results were compared with those of the LP algorithm. The study
results demonstrate that the LMCO algorithm can provide an alternative
for practical and complex fiber grating filters.
Relation: Optical Engineering, 47(1): 015005
Appears in Collections:[Department of Physics] Periodical Articles

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