Table of Contents
ISRN Optics
Volume 2013 (2013), Article ID 108704, 8 pages
http://dx.doi.org/10.1155/2013/108704
Research Article

Perturbation Analysis with Approximate Integration for Propagation Mode in Two-Dimensional Two-Slab Waveguides

Department of Integrated Information Technology, College of Science and Engineering, Aoyama Gauin University, Sagamihara-shi, Kanagawa 252-5258, Japan

Received 23 May 2013; Accepted 14 July 2013

Academic Editors: Z. Chen, S. Wade, and D.-n. Wang

Copyright © 2013 Naofumi Kitsunezaki. 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

On the basis of perturbation expansion from a gapless system, we calculate the propagation constant and propagation mode wave function in two-dimensional two-slab waveguides with a core gap small enough that there is only one propagation mode. We also perform calculations without the approximation for comparison. Our result shows that first-order perturbation contains the first-order Taylor expansion of (core gap)/(core width), and when the integration of the perturbation is suitably approximated, the result of the first-order perturbation is the same as that of the first-order Taylor expansion of (core gap)/(core width).