Table of Contents
Advances in Optical Technologies
Volume 2013, Article ID 168923, 8 pages
http://dx.doi.org/10.1155/2013/168923
Research Article

Splice Loss of Graded-Index Fibers: Accurate Semianalytical Descriptions Using Nelder-Mead Nonlinear Unconstrained Optimization with Three-Parameter Fundamental Modal Field

1Applied Electronics and Instrumentation Department, Sikkim Manipal Institute of Technology, Majitar, Sikkim 737136, India
2Physics Department, Sikkim Manipal Institute of Technology, Majitar, Sikkim 737136, India
3Computer Science Department, Sikkim Manipal Institute of Technology, Majitar, Sikkim 737136, India

Received 5 March 2013; Accepted 4 June 2013

Academic Editor: Yong Zhao

Copyright © 2013 Raja Roy Choudhury et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

A faster and accurate semianalytical formulation with a robust optimization solution for estimating the splice loss of graded-index fibers has been proposed. The semianalytical optimization of modal parameters has been carried out by Nelder-Mead method of nonlinear unconstrained minimization suitable for functions which are uncertain, noisy, or even discontinuous. Instead of normally used Gaussian function, as the trial field for the fundamental mode of graded-index optical fiber a novel sinc function with exponentially and ( is the normalized radius of the optical fiber) decaying trailing edge has been used. Due to inclusion of three parameters in the optimization of fundamental modal solution and application of an efficient optimization technique with simple analytical expressions for various modal parameters, the results are found to be accurate and computationally easier to find than the standard numerical method solution.