Introduction to Optical Waveguide Analysis

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Introduction to Optical Waveguide Analysis: Solving Maxwell's Equation and the Schrödinger Equation
Authors: Kenji Kawano & Kenji Kawano
2001 by John Wi1ey & Sons,


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CONTENTS
Preface /
Chapter 1
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

Chapter 2
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

Chapter 3
Finite-Element Methods
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

Chapter 4
Finite-Difference Methods
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

Chapter 5
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 U sing Padé Approximant
Operators / 204
5.4 Three-Dimensional Semivectorial Analysis / 216
5.5 Three-Dimensional Fu11y Vectorial Analysis / 222
Problems / 227
References / 230

Chapter 6
6 Finite-Difference Time-Domain Method
6.1 Discretization of Electromagnetic Fields / 233
6.2 Stabili可Condition / 239
6.3 Absorbing Boundary Conditions / 241
Problems / 245
References / 249

Chapter 7
7 Schrodinger Equation
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

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好书，要支持一下~~

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