Classical Derivation of Nonlinear Susceptibilities for the 32 Crystal Classes in the Harmonic Oscillator Approximation.

Abstract

New applications relating to optical information processing, optical limiting, and frequency-agile laser systems have produced a resurgence of interest in nonlinear optical materials. In this work, we extend the classical anharmonic analysis to describe the nonlinear optical properties of the 32 crystal classes. We derive expressions for and relationships between the nonlinear susceptibility tensor elements in terms of the anharmonic force constants according to the crystal class symmetry. We show that all the susceptibilities thus derived (Chi (1), Chi (2), and Chi (3)) obey the Kleinman conditions. Finally, we discuss the possible application of these results, coupled with a point-charge model, for estimating the nonlinear force constants, in the prediction of potential new nonlinear materials. Keywords include: Nonlinear optics, and Harmonic oscillator model.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1986
Accession Number
ADA164536

Entities

People

  • Clyde A. Morrison
  • Mary S. Tobin

Organizations

  • Harry Diamond Laboratories

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Anharmonic Oscillators
  • Frequency
  • Information Processing
  • Materials
  • Military Research
  • Nonlinear Optics
  • Optical Materials
  • Optical Phenomena
  • Optical Properties
  • Optics
  • Physics Laboratories
  • Plastic Explosives
  • Quantum Electronics
  • Quantum Mechanics
  • Refractive Index
  • Third Harmonic Generation
  • Three Dimensional

Fields of Study

  • Engineering
  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Materials Science and Engineering.
  • Optical Physics and Photonics.

Technology Areas

  • Directed Energy