Theoretical Development of Third-Order Susceptibility as Related to Coherent Anti-Stokes Raman Spectroscopy (CARS)

Abstract

The basic theory for coherent anti-stokes Raman spectroscopy has been developed by two methods: a classical approach and a quantum mechanical development. Standard methods of perturbation theory, Maxwell's equation, harmonic oscillator approximation, and density matrix theory are applied to the third-order nonlinear effect of generating anti-Stokes photons from the mixing of two intense laser beams. Each mathematical step has been explicitly included in the derivations comparisons between the expressions obtained here and those published in the literature are made. Where possible, clarification with respect to differences of factors of '2' or '3' which appear in various references have been included.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1976
Accession Number
ADA024164

Entities

People

  • A. B. Harvey
  • R. N. Dewitt
  • W. M. Tolles

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Dipole Moments
  • Equations
  • Frequency
  • Laser Beams
  • Lasers
  • Measurement
  • Optics
  • Perturbation Theory
  • Plane Waves
  • Polarization
  • Raman Scattering
  • Raman Spectroscopy
  • Refractive Index
  • Scattering
  • Spectra
  • Spectroscopy
  • Wave Equations

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Optical Physics and Photonics.

Technology Areas

  • Directed Energy
  • Quantum Computing