Introduction to Optical Waveguide Analysis
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Introduction to Optical Waveguide Analysis: Solving Maxwell's Equation and the Schrödinger Equation

Introduction to Optical Waveguide Analysis: Solving Maxwell's Equation and the Schrödinger Equation


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About the Book

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 xi 1 Fundamental Equations 1 1.1 Maxwell's Equations 1 1.2 Wave Equations 3 1.3 Poynting Vectors 7 1.4 Boundary Conditions for Electromagnetic Fields 9 Problems 10 Reference 12 2 Analytical Methods 13 2.1 Method for a Three-Layer Slab Optical Waveguide 13 2.2 Effective Index Method 20 2.3 Marcatili's Method 23 2.4 Method for an Optical Fiber 36 Problems 55 References 57 3 Finite-Element Methods 59 3.1 Variational Method 59 3.2 Galerkin Method 68 3.3 Area Coordinates and Triangular Elements 72 3.4 Derivation of Eigenvalue Matrix Equations 84 3.5 Matrix Elements 89 3.6 Programming 105 3.7 Boundary Conditions 110 Problems 113 References 115 4 Finite-Difference Methods 117 4.1 Finite-Difference Approximations 118 4.2 Wave Equations 120 4.3 Finite-Difference Expressions of Wave Equations 127 4.4 Programming 150 4.5 Boundary Conditions 153 4.6 Numerical Example 160 Problems 161 References 164 5 Beam Propagation Methods 165 5.1 Fast Fourier Transform Beam Propagation Method 165 5.2 Finite-Difference Beam Propagation Method 180 5.3 Wide-Angle Analysis Using Fade Approximant Operators 204 5.4 Three-Dimensional Semivectorial Analysis 216 5.5 Three-Dimensional Fully Vectorial Analysis 222 Problems 227 References 230 6 Finite-Difference Time-Domain Method 233 6.1 Discretization of Electromagnetic Fields 233 6.2 Stability Condition 239 6.3 Absorbing Boundary Conditions 241 Problems 245 References 249 7 Schrodinger Equation 251 7.1 Time-Dependent State 251 7.2 Finite-Difference Analysis of Time-Independent State 253 7.3 Finite-Element Analysis of Time-Independent State 254 References 263 Appendix A Vectorial Formulas 265 Appendix B Integration Formula for Area Coordinates 267 Index 273

About the Author :
KENJI KAWANO, PhD, is Senior Research Engineer and Director of the Research Laboratory at the Anritsu Corporation. TSUTOMU KITOH, PhD, is Senior Research Engineer at the Photonics Laboratories of the Nippon Telegraph and Telephone Corporation.


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Product Details
  • ISBN-13: 9780471406341
  • Publisher: John Wiley & Sons Inc
  • Publisher Imprint: Wiley-Interscience
  • Height: 238 mm
  • No of Pages: 304
  • Returnable: N
  • Sub Title: Solving Maxwell's Equation and the Schrödinger Equation
  • Width: 160 mm
  • ISBN-10: 0471406341
  • Publisher Date: 15 Aug 2001
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Spine Width: 19 mm
  • Weight: 648 gr


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Introduction to Optical Waveguide Analysis: Solving Maxwell's Equation and the Schrödinger Equation
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