An integral equation method for electromagnetic scattering of guided modes by boundary deformations of dielectric slab waveguides
Abstract
An integral equation method is proposed for analyzing scattering and mode conversion of guided modes by boundary deformations of a dielectric slab waveguide. Integral equations are derived for the tangential electromagnetic fields on the deformed boundaries only, using the integral expressions of fields and the fundamental properties which the integral over a closed path has. Mode conversion coefficients for guided and radiation modes are easily obtained from the solutions of the integral equations. Using the mode conversion coefficients, physical quantities such as radiation loss, reflected mode power, and total scattered power, are calculated. Numerical examples are presented for the twodimensional models of the typical boundary deformations in optical fibers caused by a fusion splice.
 Publication:

Radio Science
 Pub Date:
 February 1983
 DOI:
 10.1029/RS018i001p00039
 Bibcode:
 1983RaSc...18...39M
 Keywords:

 Boundary Value Problems;
 Dielectrics;
 Electromagnetic Scattering;
 Integral Equations;
 Propagation Modes;
 Electromagnetic Fields;
 Mode Transformers;
 Optical Fibers;
 Reciprocity Theorem;
 Slabs;
 Transmission Loss;
 Two Dimensional Models;
 Communications and Radar