Reconstruction of Dielectric Constants of Core and Cladding of Optical Fibers Using Propagation Constants Measurements
Journal article, 2014

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.

Author

E. Karchevskii

Kazan Federal University

A. O. Spiridonov

Kazan Federal University

A. I. Repina

Kazan Federal University

Larisa Beilina

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

Physics Research International

1687689x (ISSN) 16876903 (eISSN)

Vol. 2014 Art. no. 253435 - 253435

Areas of Advance

Nanoscience and Nanotechnology

Materials Science

Subject Categories

Computational Mathematics

DOI

10.1155/2014/253435

More information

Created

10/8/2017