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Semi Analytical Formulation of Dispersion Characteristics for a Step and Parabolic–Index Optical Fiber: Introduction of Nelder-Mead Simplex Method for Nonlinear Unconstrained Minimization

by Raja Roy Choudhury, Arundhati Roy Choudhury, Mrinal Kanti Ghose
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 49 - Number 22
Year of Publication: 2012
Authors: Raja Roy Choudhury, Arundhati Roy Choudhury, Mrinal Kanti Ghose
10.5120/7906-1292

Raja Roy Choudhury, Arundhati Roy Choudhury, Mrinal Kanti Ghose . Semi Analytical Formulation of Dispersion Characteristics for a Step and Parabolic–Index Optical Fiber: Introduction of Nelder-Mead Simplex Method for Nonlinear Unconstrained Minimization. International Journal of Computer Applications. 49, 22 ( July 2012), 38-44. DOI=10.5120/7906-1292

@article{ 10.5120/7906-1292,
author = { Raja Roy Choudhury, Arundhati Roy Choudhury, Mrinal Kanti Ghose },
title = { Semi Analytical Formulation of Dispersion Characteristics for a Step and Parabolic–Index Optical Fiber: Introduction of Nelder-Mead Simplex Method for Nonlinear Unconstrained Minimization },
journal = { International Journal of Computer Applications },
issue_date = { July 2012 },
volume = { 49 },
number = { 22 },
month = { July },
year = { 2012 },
issn = { 0975-8887 },
pages = { 38-44 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume49/number22/7906-1292/ },
doi = { 10.5120/7906-1292 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T20:46:56.560865+05:30
%A Raja Roy Choudhury
%A Arundhati Roy Choudhury
%A Mrinal Kanti Ghose
%T Semi Analytical Formulation of Dispersion Characteristics for a Step and Parabolic–Index Optical Fiber: Introduction of Nelder-Mead Simplex Method for Nonlinear Unconstrained Minimization
%J International Journal of Computer Applications
%@ 0975-8887
%V 49
%N 22
%P 38-44
%D 2012
%I Foundation of Computer Science (FCS), NY, USA
Abstract

Variational principle has been incorporated in the proposed semi analytical formulation to characterize graded index optical fiber and optimization process is being carried out by Nelder-Mead Simplex method for nonlinear unconstrained minimization. By introducing increased optimizing parameters in the formulation of fundamental modal field, more flexibility to refine a design and thus achieving a greater accuracy for a particular requirement, has been presented. Employing variational technique, effective index, normalized propagation constant, normalized group delay and modal dispersion parameter of an optical fiber have been evaluated analytically, by using the proposed formulation of fundamental field. The calculations show excellent agreement to the exact results, over a wide range of normalized frequency. Optimized values of three parameters, incorporated in the fundamental modal field have been presented for various values of normalized frequencies. This approximation can be used in the analysis of doped and nonlinear fiber amplifier, or in the case of dispersion–shifted fiber with large effective area.

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Index Terms

Computer Science
Information Sciences

Keywords

Single mode fiber Nelder-Mead Dispersion

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