Table of Contents
Physics Research International
Volume 2014 (2014), Article ID 253435, 9 pages
http://dx.doi.org/10.1155/2014/253435
Research Article

Reconstruction of Dielectric Constants of Core and Cladding of Optical Fibers Using Propagation Constants Measurements

1Kazan Federal University, Kremlevskaya 18, Kazan 420008, Russia
2Chalmers University of Technology and University of Gothenburg, 42196 Gothenburg, Sweden

Received 17 June 2014; Revised 6 September 2014; Accepted 7 September 2014; Published 18 September 2014

Academic Editor: Ernest M. Henley

Copyright © 2014 E. M. Karchevskii 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

We present new numerical methods for the solution of inverse spectral problem to determine the dielectric constants of core and cladding in optical fibers. These methods use measurements of propagation constants. Our algorithms are based on approximate solution of a nonlinear nonselfadjoint eigenvalue problem for a system of weakly singular integral equations. We study three inverse problems and prove that they are well posed. Our numerical results indicate good accuracy of new algorithms.