NON-LINEAR INTERACTIONS OF ELECTROMAGNETIC FIELDS WITH MATTER,

Abstract

This study is an introduction to non-linear interactions of the electromagnetic field with an isotropic, homogeneous medium. A quantum mechanical theory of two-photon propagation is presented, and an integral equation for the twophoton Greens function is derived. The classical non-linear macroscopic Maxwell equations, which take into account double-photon effects, are derived and the phenomenological parameters which appear in these equations are related to their corresponding quantum mechanical parameters. In particular, the non-linear polarizability and conductivity of an atomic system are derived. Numerical estimates of the non-linear terms are given and application of this theory to the absorption of laser light in an atomic medium is discussed. In particular, it is argued that in the case of a double resonance, the non-linear absorption rate can be larger than the linear absorption rate. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1964
Accession Number
AD0439435

Entities

People

  • H. T. Yura

Organizations

  • RAND Corporation

Tags

DTIC Thesaurus Topics

  • Absorption
  • Conductivity
  • Electromagnetic Fields
  • Equations
  • Greens Functions
  • Integral Equations
  • Integrals
  • Mathematical Analysis
  • Mathematics
  • Resonance

Readers

  • Calculus or Mathematical Analysis
  • Molecular Photonics/Laser Physics

Technology Areas

  • Directed Energy
  • Directed Energy - Lasers
  • Quantum Computing