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Introduction to Optical Waveguide Analysis
Solving Maxwell's Equation and the Schrödinger Equation
Kenji Kawano (Author), Tsutomu Kitoh (Author)
9780471406341, Wiley
Hardback, published 15 August 2001
304 pages
23.8 x 16 x 1.9 cm, 0.519 kg
"Introduction to Optical Waveguide Analysis" ist eine Einführung in die praktische Analyse und den Entwurf von Wellenleitern, die in optischen Kommunikationssystemen verwendet werden. Die Autoren beschreiben verschiedene Methoden zur Lösung der Schrödingergleichung, die für die Erklärung und das Design von Quantengraben-Strukturen auf Halbleiterbasis von Bedeutung sind. Alle angewendeten mathematischen Verfahren werden ausführlich erläutert und ihre Umsetzung in geeignete Computerprogramme besprochen.
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
Subject Areas: Electronics & communications engineering [TJ]
