1st Edition

Laser Beam Propagation in Nonlinear Optical Media

Edited By Shekhar Guha Copyright 2014
    342 Pages 107 B/W Illustrations
    by CRC Press

    334 Pages 107 B/W Illustrations
    by CRC Press

    "This is very unique and promises to be an extremely useful guide to a host of workers in the field. They have given a generalized presentation likely to cover most if not all situations to be encountered in the laboratory, yet also highlight several specific examples that clearly illustrate the methods. They have provided an admirable contribution to the community. If someone makes their living by designing lasers, optical parametric oscillators or other devices employing nonlinear crystals, or designing experiments incorporating laser beam propagation through linear or nonlinear media, then this book will be a welcome addition to their bookshelf."
    —Richard Sutherland, Mount Vernon Nazarene University, Ohio, USA

    Laser Beam Propagation in Nonlinear Optical Media provides a collection of expressions, equations, formulas, and derivations used in calculating laser beam propagation through linear and nonlinear media which are useful for predicting experimental results.

    The authors address light propagation in anisotropic media, oscillation directions of the electric field and displacement vectors, the walk-off angles between the Poynting and propagation vectors, and effective values of the d coefficient for biaxial, uniaxial, and isotropic crystals.

    They delve into solutions of the coupled three wave mixing equations for various nonlinear optical processes, including quasi-phase matching and optical parametric oscillation, and discuss focusing effects and numerical techniques used for beam propagation analysis in nonlinear media, and phase retrieval technique. The book also includes examples of MATLAB and FORTRAN computer programs for numerical evaluations.

    An ideal resource for students taking graduate level courses in nonlinear optics, Laser Beam Propagation in Nonlinear Optical Media can also be used as a reference for practicing professionals.

    Light Propagation in Anisotropic Crystals

    Introduction

    Vectors Associated with Light Propagation

    Anisotropic Media

    Light Propagation in an Anisotropic Crystal

    Characteristics of the slow and the 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

    Bibliography

    Nonlinear Optical Processes

    Introduction

    Second order susceptibility

    Properties of χ(2)

    d coefficients and the contracted notation

    The Non-zero d coefficients of biaxial crystals

    The Non-zero d coefficients of uniaxial crystals

    Frequency Conversion and Phase Matching

    Walk-off Angles

    Bibliography

    Effective d coefficient for Three-Wave mixing Processes

    Introduction

    Expressions for deff

    deff Values for Some Biaxial and Uniaxial Crystals of Different Classes

    deff for Uniaxial Crystals

    deff for Isotropic Crystals

    Nonlinear Propagation Equations and Solutions

    Nonlinear Propagation Equations

    Solutions to the Three Wave Mixing Equations in the Absence of Diffraction, Beam Walk-off and Absorption

    Unseeded Sum Frequency Generation (ω1 + ω2 = ω3)

    Unseeded Second Harmonic Generation (2ωp = ωs)

    SHG Conversion Efficiency for Focused Gaussian Beams

    Unseeded Difference Frequency Generation (ω1 = ω3 − ω2)

    Bibliography

    Quasi-Phase Matching

    Quasi Phase Matching, QPM

    Effects of focusing and pump depletion on quasi phase matched SHG

    Bibliography

    Optical Parametric Oscillation

    Optical Parametric Oscillation

    Bibliography

    Numerical Beam Propagation Methods

    Introduction

    Propagation in Linear Media

    Propagation in Nonlinear Media

    Application Examples

    Bibliography

    A Computer Codes for SFG Efficiency

    The MATLAB codes for the collimated Gaussian beam case

    The Fortran Source Codes For The Focused Beam Case

    Computer Codes for SHG Efficiency

    MATLAB code for SHG efficiency of collimated Gaussian

    Fortran Code For The Focused Beam Case

    The Fortran Source Code for QPM-SHG Efficiency

    qpmshg.f

    qpmshg _in.txt

    qpmshg_fileout.txt

    The Fortran Source Code for OPO Threshold and Efficiency

    OPO.f

    Biography

    Dr. Shekhar Guha obtained his Ph.D. degree in Physics from University of

    Pittsburgh and did post-doctoral work at University of Southern California.

    He has been working at the Air Force Research Laboratory since 1995. His

    research interests are in the field of nonlinear optical materials, especially in

    the infrared.

    Dr. Leonel P. Gonzalez received his M.S. and Ph.D. degrees in Electro-

    Optics from the University of Dayton. He has worked in the commercial laser

    industry as well as in the telecommunications field. In 2002 he returned to the

    Air Force Research Laboratory and since then has been investigating nonlinear

    optical materials and their applications.

    "This is very unique and promises to be an extremely useful guide to a host of workers in the field. They have given a generalized presentation likely to cover most if not all situations to be encountered in the laboratory, yet also highlight several specific examples that clearly illustrate the methods. They have provided an admirable contribution to the community. If someone makes their living by designing lasers, optical parametric oscillators or other devices employing nonlinear crystals, or designing experiments incorporating laser beam propagation through linear or nonlinear media, then this book will be a welcome addition to their bookshelf."
    —Richard Sutherland, Mount Vernon Nazarene University, Ohio, USA