An inverse eigenvalue problem of the theory of optical waveguides

Author

Karchevskii, E.M. ; Spiridonov, A.O.

Author_Institution

Dept. of Appl. Math., Kazan Fed. Univ., Kazan, Russia

fYear

2014

fDate

26-30 May 2014

Firstpage

118

Lastpage

123

Abstract

We present a new method for calculation of permittivities of dielectric materials using optical fiber´s propagation constants measurements. Our numerical algorithm is based on approximate solution of a nonlinear nonselfadjoint inverse eigenvalue problem for a system of weakly singular integral equations. We prove that it is enough to measure propagation constants of fundamental eigenmode only at two frequencies for reconstruction of dielectric constants of core and cladding of a waveguide.

Keywords

approximation theory; eigenvalues and eigenfunctions; integral equations; inverse problems; optical fibre cladding; optical fibre testing; permittivity; approximate solution; dielectric constants; dielectric materials; fundamental eigenmode; nonlinear nonselfadjoint inverse eigenvalue problem; numerical algorithm; optical fiber propagation constant measurements; optical waveguide theory; permittivity; singular integral equations; waveguide cladding; waveguide core; Eigenvalues and eigenfunctions; Nonlinear optics; Optical waveguide theory; Permittivity; Propagation constant; Splines (mathematics);

fLanguage

English

Publisher

ieee

Conference_Titel

Days on Diffraction (DD), 2014

Conference_Location

St. Petersburg

Print_ISBN

978-1-4799-7331-6

Type

conf

DOI

10.1109/DD.2014.7036435

Filename

7036435