"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