Guiding, Diffraction, and Confinement of Optical Radiation

Guiding, Diffraction, and Confinement of Optical Radiation

1st Edition - April 28, 1986

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  • Author: Salvatore Solimeno
  • eBook ISBN: 9780323144193

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Description

Guiding, Diffraction, and Confinement of Optical Radiation presents a wide array of research studies on optics and electromagnetism. This book is organized into eight chapters that cover the problems related to optical radiation propagation and confinement. Chapter I examines the general features of electromagnetic propagation and introduces the basic concepts pertaining to the description of the electromagnetic field and its interaction with matter. Chapter II is devoted to asymptotic methods of solution of the wave equation, with particular emphasis on the asymptotic representation of the field in the form of the Luneburg-Kline series. This chapter also looks into a number of optical systems characterized by different refractive index distributions relying on the eikonal equation. Chapter III deals with stratified media, such as the multilayered thin films, metallic and dielectric reflectors, and interference filters. Chapters IV and V discuss the problem of propagation and diffraction integrals. Chapter VI describes the scattering from obstacles and the metallic and dielectric gratings. Chapters VII considers the passive and active resonators employed in connection with laser sources for producing a confinement near the axis of an optical cavity and Fabry-Perot interferometers and mainly relies on the use of diffraction theory. Chapter VIII presents the analytic approach to the study of transverse confinement near the axis of a dielectric waveguide hinges on the introduction of modal solutions of the wave equation. This book will be of value to quantum electronics engineers, physicists, researchers, and optics and electromagnetism graduate students.

Table of Contents


  • Preface

    Chapter I General Features of Electromagnetic Propagation

    1 Maxwell's Equations

    2 Propagation in Time-Dispersive Media

    3 State of Polarization of the Electromagnetic Field

    4 Propagation in Anisotropie Media

    5 Propagation in Spatially Dispersive Media

    6 Energy Relations

    7 Propagation in Moving Media

    8 Coherence Properties of the Electromagnetic Field

    Problems

    References

    Bibliography

    Chapter II Ray Optics

    1 Approximate Representation of the Electromagnetic Field

    2 Asymptotic Solution of the Scalar Wave Equation

    3 The Eikonal Equation

    4 The Ray Equation

    5 Field-Transport Equation for Ao

    6 Field-Transport Equations for the Higher-Order Terms Am

    7 Evanescent Waves and Complex Eikonals

    8 Ray Optics of Maxwell Vector Fields

    9 Differential Properties of Wave Fronts

    10 Caustics and Wave Fronts

    11 Reflection and Refraction of a Wave Front at the Curved Interface of Two Media

    12 Solution of the Eikonal Equation by the Method of Separation of Variables

    13 Ray Paths Obtained by the Method of Separation of Variables

    14 Scalar Ray Equations in Curvilinear Coordinates: the Principle of Fermat

    15 Elements of Hamiltonian Optics Problems

    References

    Bibliography

    Chapter III Plane-Stratified Media

    1 Introduction

    2 Ray Optics for Stratified Media

    3 Matched Asymptotic Expansion: Langer's Method

    4 Reflection and Transmission for Arbitrarily Inhomogeneous Media

    5 Exact Solution for the Linearly Increasing Transition Profile

    6 Stratified Media with Piecewise-Constant Refractive Index Profiles

    7 Electric Network Formalism

    8 Fresnel Formulas

    9 Characteristic Matrix Formalism

    10 Bloch Waves

    11 Passbands and Stopbands of Quarter-Wave Stacks

    12 Reflection Coefficient of a Multilayer

    13 Metallic and Dielectric Reflectors

    14 Antireflection (AR) Coatings

    15 Interference Filters

    16 Anisotropie Stratified Media

    17 Propagation through Periodic Media

    18 Analytical Properties of the Reflection Coefficient

    19 Propagation of Surface and Leaky Waves through a Thin Film

    20 Illumination at an Angle Exceeding the Critical One

    21 Reflection and Refraction at a Dielectric-Lossy Medium Interface

    22 Surface Waves at the Interface between Two Media

    23 Impedance Boundary Conditions

    Problems

    References

    Bibliography

    Chapter IV Fundamentals of Diffraction Theory

    1 Introduction

    2 Green's Function Formalism

    3 Kirchhoff-Kottier Formulation of the Huygens Principle

    4 Sommerfeld Radiation Condition

    5 Rayleigh's Form of Diffraction Integrals for Plane Screens

    6 Babinet's Principle

    7 Diffraction Integrals for Two-Dimensional Fields

    8 Plane-Wave Representation of the Field

    9 Angular Spectrum Representation

    10 Fresnel and Fraunhofer Diffraction Formulas

    11 Field Expansion in Cylindrical Waves

    12 Cylindrical Waves of Complex Order and Watson Transformation

    13 Field Patterns in the Neighborhood of a Focus

    14 Reduction of Diffraction Integrals to Line Integrals

    15 Coherent and Incoherent Imagery

    Problems

    References

    Bibliography

    Chapter V Asymptotic Evaluation of Diffraction Integrals

    1 Introduction

    2 Stationary-Phase Method

    3 Shadow Boundaries: Stationary Point near End Point

    4 Caustics of Cylindrical Fields: Two Adjacent Stationary Points

    5 Field in Proximity to a Two-Dimensional Cusp: A Model for the Impulse Response in the Presence of Defocusing and Third-Order Aberration

    6 Steepest-Descent Method

    7 Diffraction Effects at a Plane Interface between Two Dielectrics

    8 Asymptotic Evaluation of the Diffraction Integrals in Cylindrical Coordinates

    9 Asymptotic Series Derived from Comparison Integrals: Chester-Friedman-Ursell (CFU) Method

    10 Asymptotic Evaluation of the Field Diffracted from an Aperture

    11 Asymptotic Approximations to Plane-Wave Representation of the Field

    12 Willis Formulas

    Problems

    References

    Bibliography

    Chapter VI Aperture Diffraction and Scattering from Metallic and Dielectric Obstacles

    1 Introduction

    2 Diffraction from a Wedge

    3 Diffraction from a Slit

    4 Diffraction from a Dielectric Cylinder

    5 S-Matrix and Watson-Regge Representation

    6 Surface Diffraction Waves

    7 Generalized Fermat Principle and Geometric Theory of Diffraction

    8 Scattering from a Dielectric Body

    9 Physical Optics Approximation for a Perfect Conductor

    10 Electromagnetic Theory of Diffraction from Perfectly Conducting and Dielectric Gratings

    11 Scattering from Finite Bodies

    12 Spherical Harmonics Representation of the Scattered Field

    13 Scattering from Spherical Particles

    Problems

    References

    Bibliography

    Chapter VII Optical Resonators and Fabry-Perot Interferometers

    1 Generalities on Electromagnetic Resonators

    2 Generalities on Optical Resonators

    3 Frequency Response of a Resonator

    4 Ray Theory of a Closed Elliptic Resonator

    5 Linear Resonators

    6 Characterization of Resonators by Means of Lens Sequences and g-Parameters

    7 Fields Associated with Sources Located at Complex Points

    8 Hermite - Gauss and Laguerre - Gauss Beams

    9 Ray-Transfer Matrix Formalism for a Lens Waveguide Equivalent to a Resonator

    10 Modal Representation of the Field Inside a Stable Resonator Free of Diffraction Losses

    11 Focus on Stable Resonators

    12 Focus on Unstable Resonators

    13 Wave Theory of Empty Resonators

    14 Fox-Li Integral Equations

    15 Overview of Mode Calculations

    16 Stable Cavities with Rectangular Geometry

    17 Rotationally Symmetric Cavities

    18 Diffraction Theory of Unstable Resonators

    19 Active Resonators

    20 Frequency Control

    21 Fabry-Perot Interferometers

    Problems

    References

    Bibliography

    Chapter VIII Propagation in Optical Fibers

    1 Geometric Optics

    2 Step-Index Fibers

    3 Graded-Index Fibers

    4 Mode Theory

    5 Mode Theory for Step-Index Fibers

    6 Weakly Guiding Step-Index Fibers

    7 Parabolic-Index Fibers

    8 Nonguided Modes

    9 Single-Mode Fibers

    10 The Electromagnetic Field Inside the Fiber

    11 Attenuation

    12 Modal Dispersion

    13 Chromatic Dispersion

    14 Modal Noise

    15 Coupled-Mode Theory

    16 Statistical Theory of Propagation in an Ensemble of Fibers

    17 Polarization-Maintaining Optical Fibers

    18 Nonlinear Effects in Optical Fibers

    19 Self-Induced Nonlinear Effects

    Problems

    References

    Bibliography

    Appendix

    Index




Product details

  • No. of pages: 634
  • Language: English
  • Copyright: © Academic Press 1986
  • Published: April 28, 1986
  • Imprint: Academic Press
  • eBook ISBN: 9780323144193

About the Author

Salvatore Solimeno

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