Light Propagation in Linear Optical Media: 1st Edition (Paperback) book cover

Light Propagation in Linear Optical Media

1st Edition

By Glen D. Gillen, Katharina Gillen, Shekhar Guha

CRC Press

388 pages | 166 B/W Illus.

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Light Propagation in Linear Optical Media describes light propagation in linear media by expanding on diffraction theories beyond what is available in classic optics books. In one volume, this book combines the treatment of light propagation through various media, interfaces, and apertures using scalar and vector diffraction theories.

After covering the fundamentals of light and physical optics, the authors discuss light traveling within an anisotropic crystal and present mathematical models for light propagation across planar boundaries between different media. They describe the propagation of Gaussian beams and discuss various diffraction models for the propagation of light. They also explore methods for spatially confining (trapping) cold atoms within localized light-intensity patterns.

This book can be used as a technical reference by professional scientists and engineers interested in light propagation and as a supplemental text for upper-level undergraduate or graduate courses in optics.


"The material supplied covers a specific area of electromagnetic analysis that is not usually encountered in optics books. The thorough mathematical analysis of the diffraction process could be of great interest to researchers in the field. The book includes also specific introductory chapters on the approaches for studying light, and specifically the electromagnetic approach. The sections of the chapters regarding anisotropic media are also quite detailed. The book is written by recognized researchers in the field."

–Dr. Félix Fanjul-Vélez, Applied Optical Techniques Group Electronics Technology, Systems and Automation Engineering Department, University of Cantabria, Santander, Spain

Table of Contents

Electromagnetic Fields and Origin of Light


Electric Fields

Magnetic Fields


Vector and Scalar Potentials

Hertz Vector Potential

Radiation from an Orbiting Charge

Poynting Vector

Radiation from a Classical Atom

A Quantum Mechanical Interlude

Units and Dimensions

Electromagnetic Waves in Linear Media

Maxwell’s Equations in Linear Media

Electromagnetic Waves in Linear Source-Free Media

Maxwell’s Equations in Vacuum

Plane Waves

Polarization States of Light

Spherical Waves

Light Propagation in Anisotropic Crystals


Vectors Associated with Light Propagation

Anisotropic Media

Light Propagation in an Anisotropic Crystal

Characteristics of the Slow and Fast Waves in a Biaxial Crystal

Double Refraction and Optic Axes

Propagation along the Principal Axes and Along the Principal Planes

Uniaxial Crystals

Propagation Equation in Presence of Walk-Off

Wave Propagation across the Interface of Two Homogeneous Media

Reflection and Refraction at a Planar Interface

Fresnel Reflection and Transmission Coefficients

Reflection and Refraction at an Interface Not Normal to a Cartesian Axis

Light Propagation in a Dielectric Waveguide

Conditions for Guided Waves

Field Amplitudes for Guided Waves

Paraxial Propagation of Gaussian Beams


TEM00 Gaussian Beam Propagation and Parameters

ABCD Matrix Treatment of Gaussian Beam Propagation

Higher-Order Gaussian Beams

Azimuthal and Radial Polarization

M2 Parameter

Scalar and Vector Diffraction Theories

Scalar Diffraction Theories

Comparison of Scalar Diffraction Model Calculations

Verification of Snell’s Laws Using Diffraction

Vector Diffraction Theories

Hertz Vector Diffraction Theory (HVDT)

Kirchhoff Vector Diffraction Theory (KVDT)

Analytical On-Axis Expressions and Calculations

Power Transmission Function

Calculations for Plane Waves Incident Upon Various Apertures

Beam Distributions in the Aperture Plane, Circular Aperture

Beam Distributions beyond the Aperture Plane for a Circular Aperture

The Longitudinal Component of the Electric Field, Ez

Beam Distributions in the Aperture Plane, Elliptical Aperture

Beam Distributions beyond the Aperture Plane for a Elliptical Aperture

Beam Distributions in the Aperture Plane for a Square Aperture

Beam Distributions beyond the Aperture Plane for a Square Aperture

Vector Diffraction across a Curved Interface


Theoretical Setup, Case 1 vs. Case 2

Vector Diffraction Theory at a Spherical Surface, Case 1

Normalization and Simplification, Case 1

Calculation of Electromagnetic Fields and Poynting Vectors, Case 1

Summary, Case 1

Introduction, Case 2

Theoretical Setup, Case 2

Theory, Case 2

Normal Incidence Calculations, Case 2

Spherical Aberration, Case 2

Off-Axis Focusing and Coma, Case 2

Diffraction of Gaussian Beams

Gaussian Hertz Vector Diffraction Theory, GHVDT

Validation of GHVDT

Calculations of Clipped Gaussian Beams Using GHVDT

Longitudinal Field Component in the Unperturbed Paraxial Approximation

Gaussian Beam Propagation Using Luneberg’s Vector Diffraction Theory

Analytical Model for Clipped Gaussian Beams

Calculations and Measurements for Clipped Gaussian Beams

Trapping Cold Atoms with Laser Light

Introduction to Trapping Atoms Using Light Fields

Optical Dipole Trapping Potential Energy

Diffracted Light Just beyond a Circular Aperture

Projection of Diffraction Patterns

Polarization-Dependent Atomic Dipole Traps

Appendix: Complex Phase Notation, Engineer’s vs. Physicist’s

Sinusoidal Waves

Complex Notation Using Euler’s Formulas

Engineer’s vs. Physicist’s Notation

Use of Engineer’s and Physicist’s Complex Notation in This Book

Some Commonly Used Electrodynamics and Optics Books

Subject Categories

BISAC Subject Codes/Headings:
SCIENCE / Physics