Lightwave Engineering  book cover
1st Edition

Lightwave Engineering

ISBN 9781138072039
Published March 29, 2017 by CRC Press
373 Pages 157 B/W Illustrations

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Book Description

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


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

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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.