Overview

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.

Full Product Details

Author:   Glen Gillen ,  Katharina Gillen ,  Shekhar Guha
Publisher:   Taylor & Francis Ltd
Imprint:   CRC Press
ISBN:  

9781482210958

ISBN 10:   1482210959
Pages:   388
Publication Date:   19 December 2017
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Electronic book text
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Electromagnetic Fields and Origin of Light Introduction Electric Fields Magnetic Fields Electromagnetism 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 Introduction 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 Introduction 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 Introduction 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

Reviews

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. Felix Fanjul-Velez, Applied Optical Techniques Group Electronics Technology, Systems and Automation Engineering Department, University of Cantabria, Santander, Spain

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