1st Edition

Susceptibility Tensors for Nonlinear Optics

By S.V Popov, Y.P Svirko, N.I Zheludev Copyright 1995

    Susceptibility Tensors for Nonlinear Optics is a unique and invaluable reference book with accompanying software. Starting from basic principles, the book presents a detailed introduction to the concept of optical susceptibilities of crystalline media. Substantial appendices include useful tables of third-, fourth-, and fifth-rank susceptibility tensors for major nonlinear optical effects. Integral to the book is an entirely original TURBO RANK software package (compatible with PCs running MS-DOS and Windows) that allows the calculation of the symmetry of material tensors up to seventh rank, effectively superseding conventional reference tables of high rank tensors. This package is also useful for scientists working in solid state physics, crystallography, acoustics, and materials engineering.

    PREFACE

    TURBO-RANK PACKAGE

    INTRODUCTION TO THE THEORY OF NONLINEAR SUSCEPTIBILITIES
    Optical response of the medium
    Various forms of the constitutive equation
    Nonlinear optical response
    Absorptionless media
    Tensors of nonlinear optical susceptibilities

    PROPERTIES OF THE TENSORS OF LOCAL AND NONLOCAL OPTICAL RESPONSE
    Linear optical susceptibilities
    Quadratic optical susceptibilities
    Cubic optical susceptibilities
    Higher-order nonlinear susceptibilities
    Selected results of quantum theory

    PRINCIPLES OF CALCULATION OF SYMMETRY PROPERTIES OF HIGH-RANK MATERIAL TENSORS
    Material tensors
    Basic concepts
    Crystal symmetry classes and natural system of coordinates
    Equations of invariance of material tensors
    Method of direct inspection and its algorithmization
    Method of cyclic coordinates and its algorithmization

    IMPLICIT CONSTITUTIVE EQUATIONS
    Optical response and causality principle
    Implicit constitutive equations in oscillator models

    APPENDICES
    Susceptibility tensors for principal nonlinear optical processes
    Units for optical susceptibilities
    Principle of symmetry of kinetic coefficients and optical susceptibilities Material tensors for isotropic media
    Tables of third-, fourth- and fifth-rank tensors

    REFERENCES

    Biography

    Popov, S.V

    "The book and especially the easily usable TURBO RANK are of great value for scientists and students interested in symmetry properties of physical effects in solid state physics and material science."
    -Crystal Research and Technology