Lightwave Engineering
Features
- Presents an introduction to lightwave propagation theory
- Covers advanced lightwave engineering
- Includes appendices on Fourier Transform formulas, derivation of Green's theorem, and vector algebra formulas
- Provides essential information written in an accessible format
- Offers extensive lists of tables and figures
Summary
Suitable as either a student text or professional reference, Lightwave Engineering addresses the behavior of electromagnetic waves and the propagation of light, which forms the basis of the wide-ranging field of optoelectronics.
Divided into two parts, the book first gives a comprehensive introduction to lightwave engineering using plane wave and then offers an in-depth analysis of lightwave propagation in terms of electromagnetic theory. Using the language of mathematics to explain natural phenomena, the book includes numerous illustrative figures that help readers develop an intuitive understanding of light propagation. It also provides helpful equations and outlines their exact derivation and physical meaning, enabling users to acquire an analytical understanding as well. After explaining a concept, the author includes several problems that are tailored to illustrate the explanation and help explain the next concept.
The book addresses key topics including fundamentals of interferometers and resonators, guided wave, optical fibers, and lightwave devices and circuits. It also features useful appendices that contain formulas for Fourier transform, derivation of Green's theorem, vector algebra, Gaussian function, cylindrical function, and more. Ranging from basic to more difficult, the book’s content is designed for easily adjustable application, making it equally useful for university lectures or a review of basic theory for professional engineers.
Table of Contents
Part I: Introduction
Fundamentals of Optical Propagation
Parameters and Units Used to Describe Light
Optical Coherence
Fundamental Equations of the Electromagnetic Fields and PlaneWaves
Reflection and Refraction of PlaneWaves
Polarization and Birefringence
Propagation of a Plane Wave in a Medium with Gain and Absorption Loss
Wave Front and Light Rays
Fundamentals of OpticalWaveguides
Free-Space Waves and Guided Waves
Guided Mode and Eigenvalue Equations
Eigenmode and Dispersion Curves
Electromagnetic Distribution and Eigenmode Expansion
Fundamental Properties of Multimode Waveguides
Transmission Band of Multimode Waveguide
Propagation of Light Beams in Free Space
Representation of Spherical Waves and the Diffraction Phenomenon
Fresnel Diffraction and Fraunhofer Diffraction
Fraunhofer Diffraction of a Gaussian Beam
Wave Front Transformation Effect of the Lens
Fourier Transform with Lenses
Interference and Resonators
Principle of Two-Beam Interference
Resonators
Various Interferometers
Diffraction by Gratings
Multilayer Thin Film Interference
Part II: Description of Light Propagation Through Electromagnetism
Guided Wave Optics
General Concept of the Guided Modes
Fundamental Structure and Mode of the Optical Waveguide
Optical Fibers
Optical Fiber Modes
Signal Propagation in Optical Fiber
Transmission Characteristics of Distributed Index Multimode Fibers
Optical Fiber Communication
Propagation and Focusing of the Beam
Gaussian Beam
Propagation of the Gaussian Beam
Wave Coefficient and Matrix Formalism
Propagation of Non-Gaussian Beam
Calculation Formula for Spot Size
Representation by Diffraction Integral
Basic Optical Waveguide Circuit
Coupling by Cascade Connection of Optical Waveguides
Optical Coupling Between Parallel Waveguides
Merging and Branching of Optical Waveguides
Resonators and Effective Index
Waveguide Bends
Polarization Characteristics
Description of the Optical Circuit by Scattering Matrix and Transmission Matrix
Analysis of an Optical Waveguide, Including Structure Changes in Propagation Axis Direction
Appendix A: Fourier Transform Formulas
Appendix B: Characteristics of the Delta Function
Appendix C: Derivation of Green’s Theorem
Appendix D: Vector Analysis Formula
Appendix E: Infinite Integral of Gaussian Function
Appendix F: Cylindrical Functions
Appendix G: Hermite-Gaussian Functions
Appendix H: Derivation of the Orthogonality of the Eigenmode
Appendix I: Lorentz Reciprocity Theorem
Appendix J: WKB Method
Appendix K: Derivation of the Petermann’s Formula for the Optical Fiber Spot Size
Appendix L: Derivation of the Coupled Mode Equation
Appendix M: General Solution of the Coupled Mode Equation
Appendix N: Perturbation Theory
Author Bio(s)
Yasuo Kokubun received his B.E. degree from Yokohama National University, Yokohama, Japan, in 1975 and M.E. and Dr. Eng. degrees from Tokyo Institute of Technology, Tokyo, Japan, in 1977 and 1980, respectively. After he worked for the Research Laboratory of Precision Machinery and Electronics, Tokyo Institute of Technology, as a research associate from 1980 to 1983, he joined the Yokohama National University as an associate professor in 1983, and is now a professor in the Department of Electrical and Computer Engineering. From 2006 to 2009 he served as the Dean of Faculty of Engineering and is now the Vice-President of Yokohama National University. His current research is in integrated photonics including waveguide-type functional devices and three-dimensional integrated photonics, and also in optical fibers including multi-core fibers. From 1984 to 1985 he was with AT&T Bell Laboratories as a visiting researcher studying a novel waveguide on a semiconductor substrate (ARROW) for integrated optics. From 1996 to 1999, he led the Three-dimensional microphotonics project at the Kanagawa Academy of Science and Technology. Professor Kokubun is a Fellow of the Institute of Electrical and Electronics Engineers, a Fellow of the Japan Society of Applied Physics, a Fellow of the Institute of Electronics, Information and Communication Engineers, and a member of the Optical Society of America.
