Title :
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
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);
Conference_Titel :
Days on Diffraction (DD), 2014
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4799-7331-6
DOI :
10.1109/DD.2014.7036435
