Propagating Beam Analysis of Optical Waveguides

This book is for graduate students and scientists interested in the numerical analysis of dielectric waveguides. Engineers in industries should be interested since optical waveguide analysis is becoming popular and indispensable in designing various optical devices at a small cost of time and labour. This text is a comprehensive introduction to a beam propagation analysis of optical waveguides, and is the summary of the research investigations made at Hosei University, Japan. The subject described in the book includes the finite-difference beam-propagation method (BPM) in Cartesian, cylindrical, and oblique coordinates. For the Cartesian-coordinates-based BPM, semivectorial and fullvectorial BPMs are presented with some applications. Improved finite-difference formulas are introduced to accurately analyze graded-index and step-index waveguides. The alternating-direction implicit method is employed to efficiently treat three-dimensional structures. To deal with a reflection problem, a time-domain BPM, scalar FD-TD method, and vectorial FD-TD method are provided. A hybrid technique that combines the BPM and the FD-TD method is also described.