Cross-Entropy Optimization for the Design of Fiber Bragg Gratings

This paper considers the synthesis problem of a low-dispersion fiber Bragg grating (FBG) filter. This problem can be formulated as a nonlinear objective problem in practice. However, solving this problem with traditional methods is difficult because of its multimodal and ill-conditioned character. I...

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Main Authors: Jung-Chieh Chen, Chao-Kai Wen, Chih-Peng Li, Pangan Ting
Format: Article
Language:English
Published: IEEE 2012-01-01
Series:IEEE Photonics Journal
Subjects:
Online Access:https://ieeexplore.ieee.org/document/6256680/
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spelling doaj-92d583c389484da398ab9fbf640a9e0e2021-03-29T17:07:26ZengIEEEIEEE Photonics Journal1943-06552012-01-01451495150310.1109/JPHOT.2012.22110016256680Cross-Entropy Optimization for the Design of Fiber Bragg GratingsJung-Chieh Chen0Chao-Kai Wen1Chih-Peng Li2Pangan Ting3<formula formulatype="inline"><tex Notation="TeX">$^{1}$</tex></formula>Department of Optoelectronics and Communication Engineering , National Kaohsiung Normal University, Kaohsiung, Taiwan<formula formulatype="inline"><tex Notation="TeX">$^{2}$</tex></formula>Institute of Communications Engineering, National Sun Yat-sen University, Kaohsiung, TaiwanInstitute of Communications Engineering, National Sun Yat-sen University, Kaohsiung, Taiwan<formula formulatype="inline"><tex Notation="TeX">$^{3}$</tex></formula>Industrial Technology Research Institute, Hsinchu, TaiwanThis paper considers the synthesis problem of a low-dispersion fiber Bragg grating (FBG) filter. This problem can be formulated as a nonlinear objective problem in practice. However, solving this problem with traditional methods is difficult because of its multimodal and ill-conditioned character. Inspired by the efficient ability of cross-entropy optimization (CEO) method to find near-optimal solutions in large search spaces, we propose the application of CEO method to search for design variables to satisfy the target design criteria. Computer simulation results show that the proposed CEO method can successfully achieve the target values of the design specifications. It also provides a reliable convergence to the near-optimum solution. These findings indicate that the CEO algorithm is more appropriate for the FBG filter design compared with conventional particle swarm optimization method.https://ieeexplore.ieee.org/document/6256680/Cross-entropy optimization (CEO)fiber Bragg grating (FBG)filter design
collection DOAJ
language English
format Article
sources DOAJ
author Jung-Chieh Chen
Chao-Kai Wen
Chih-Peng Li
Pangan Ting
spellingShingle Jung-Chieh Chen
Chao-Kai Wen
Chih-Peng Li
Pangan Ting
Cross-Entropy Optimization for the Design of Fiber Bragg Gratings
IEEE Photonics Journal
Cross-entropy optimization (CEO)
fiber Bragg grating (FBG)
filter design
author_facet Jung-Chieh Chen
Chao-Kai Wen
Chih-Peng Li
Pangan Ting
author_sort Jung-Chieh Chen
title Cross-Entropy Optimization for the Design of Fiber Bragg Gratings
title_short Cross-Entropy Optimization for the Design of Fiber Bragg Gratings
title_full Cross-Entropy Optimization for the Design of Fiber Bragg Gratings
title_fullStr Cross-Entropy Optimization for the Design of Fiber Bragg Gratings
title_full_unstemmed Cross-Entropy Optimization for the Design of Fiber Bragg Gratings
title_sort cross-entropy optimization for the design of fiber bragg gratings
publisher IEEE
series IEEE Photonics Journal
issn 1943-0655
publishDate 2012-01-01
description This paper considers the synthesis problem of a low-dispersion fiber Bragg grating (FBG) filter. This problem can be formulated as a nonlinear objective problem in practice. However, solving this problem with traditional methods is difficult because of its multimodal and ill-conditioned character. Inspired by the efficient ability of cross-entropy optimization (CEO) method to find near-optimal solutions in large search spaces, we propose the application of CEO method to search for design variables to satisfy the target design criteria. Computer simulation results show that the proposed CEO method can successfully achieve the target values of the design specifications. It also provides a reliable convergence to the near-optimum solution. These findings indicate that the CEO algorithm is more appropriate for the FBG filter design compared with conventional particle swarm optimization method.
topic Cross-entropy optimization (CEO)
fiber Bragg grating (FBG)
filter design
url https://ieeexplore.ieee.org/document/6256680/
work_keys_str_mv AT jungchiehchen crossentropyoptimizationforthedesignoffiberbragggratings
AT chaokaiwen crossentropyoptimizationforthedesignoffiberbragggratings
AT chihpengli crossentropyoptimizationforthedesignoffiberbragggratings
AT panganting crossentropyoptimizationforthedesignoffiberbragggratings
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