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Informationen zum Autor 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. Klappentext 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 Schrödinger 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. Zusammenfassung "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. Inhaltsverzeichnis 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 Cond...
