Recent advances in the field of guided-wave optics, such as fibre optics and integrated optics, have included the introduction of various optical waveguides. Computational tools for modelling and simulation are essential for a successful design, optimization, and realization of the optical waveguides. Despite its relatively brief existence, the finite element method has grown into a powerful and efficient tool for solving the most general optical waveguide problems. In this book, starting with a brief review of electromagnetic theory for optical waveguide analysis, the concepts of the finite element method and its fundamentals are discussed in detail. Current topics of the application of the finite element method to various optical waveguide problems, such as planar optical waveguides, optical channel waveguides, optical fibres, polarization-maintaining optical fibres, optical gratings, optical waveguide discontinuities, nonlinear optical waveguides, optical solitons and quantum well structures, are described, including many illustrations.

A Finite Element Method (FEM) is presented to determine reflection and transmission coefficients of rectangular waveguide junction discontinuities. An H-plane discontinuity, an E-plane ridge discontinuity, and a step discontinuity in a concentric rectangular waveguide junction are analyzed using the FEM procedure. Also, reflection and transmission coefficients due to presence of a gap between two sections of a rectangular waveguide are determined using the FEM. The numerical results obtained by the present method are in excellent agreement with the earlier published results. The numerical results obtained by the FEM are compared with the numerical results obtained using the Mode Matching Method (MMM) and also with the measured data. Deshpande, Manohar D. Langley Research Center NAS1-19341; RTOP 522-33-11-02...

This classic text from 1970 provides a detailed analysis of the behavior of electromagnetic waves at step discontinuities in waveguides, with applications to microwave engineering, radar and communications. The author introduces new techniques for solving Maxwell's equations in waveguide geometries, and provides a wealth of examples and applications to illustrate the theory. This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.