Laser Beam Propagation in Nonlinear Optical Media: 1st Edition (Paperback) book cover

Laser Beam Propagation in Nonlinear Optical Media

1st Edition

By Shekhar Guha, Leonel P. Gonzalez

CRC Press

334 pages | 107 B/W Illus.

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Description

"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.

Reviews

"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

Table of Contents

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

About the Authors

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.

Subject Categories

BISAC Subject Codes/Headings:
SCI055000
SCIENCE / Physics
TEC007000
TECHNOLOGY & ENGINEERING / Electrical
TEC019000
TECHNOLOGY & ENGINEERING / Lasers & Photonics