1st Edition

Light Propagation in Linear Optical Media

    388 Pages 166 B/W Illustrations
    by CRC Press

    388 Pages 166 B/W Illustrations
    by CRC Press

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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.

    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

    "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