Description
John Wiley Introduction to Optical Waveguide Analysis Solving Maxwells Equation and the Schroedinger Equation 2001 Edition by Kenji Kawano, Tsutomu Kitoh
A complete survey of modern design and analysis techniques for optical waveguides This volume thoroughly details modern and widely accepted methods for designing the optical waveguides used in telecommunications systems. It offers a straightforward presentation of the sophisticated techniques used in waveguide analysis and enables a quick grasp of modern numerical methods with easy mathematics. The book is intended to guide the reader to a comprehensive understanding of optical waveguide analysis through self-study.This comprehensive presentation includes: An extensive and exhaustive list of mathematical manipulations Detailed explanations of common design methods: finite element method (FEM), finite difference method (FDM), beam propagation method (BPM), and finite difference time-domain method (FD-TDM) Explanations for numerical solutions of optical waveguide problems with sophisticated techniques used in modern computer-aided design (CAD) software Solutions to Maxwell's equations and the Schrodinger equation The authors provide excellent self-study material for practitioners, researchers, and students, while also presenting detailed mathematical manipulations that can be easily understood by readers who are unfamiliar with them. Introduction to Optical Waveguide Analysis presents modern design methods in a comprehensive and easy-to-understand format. Table of contents :- Preface xi1 Fundamental Equations 11.1 Maxwell's Equations 11.2 Wave Equations 31.3 Poynting Vectors 71.4 Boundary Conditions for Electromagnetic Fields 9Problems 10Reference 122 Analytical Methods 132.1 Method for a Three-Layer Slab Optical Waveguide 132.2 Effective Index Method 202.3 Marcatili's Method 232.4 Method for an Optical Fiber 36Problems 55References 573 Finite-Element Methods 593.1 Variational Method 593.2 Galerkin Method 683.3 Area Coordinates and Triangular Elements 723.4 Derivation of Eigenvalue Matrix Equations 843.5 Matrix Elements 893.6 Programming 1053.7 Boundary Conditions 110Problems 113References 1154 Finite-Difference Methods 1174.1 Finite-Difference Approximations 1184.2 Wave Equations 1204.3 Finite-Difference Expressions of Wave Equations 1274.4 Programming 1504.5 Boundary Conditions 1534.6 Numerical Example 160Problems 161References 1645 Beam Propagation Methods 1655.1 Fast Fourier Transform Beam Propagation Method 1655.2 Finite-Difference Beam Propagation Method 1805.3 Wide-Angle Analysis Using Fade ApproximantOperators 2045.4 Three-Dimensional Semivectorial Analysis 2165.5 Three-Dimensional Fully Vectorial Analysis 222Problems 227References 2306 Finite-Difference Time-Domain Method 2336.1 Discretization of Electromagnetic Fields 2336.2 Stability Condition 2396.3 Absorbing Boundary Conditions 241Problems 245References 2497 Schrodinger Equation 2517.1 Time-Dependent State 2517.2 Finite-Difference Analysis of Time-Independent State 2537.3 Finite-Element Analysis of Time-Independent State 254References 263Appendix A Vectorial Formulas 265Appendix B Integration Formula for Area Coordinates 267Index 273