Optical Phase Conjugation with Smooth Pump Profiles

Abstract

We present analytical results for the steady-state signal and phase-conjugate fields interacting with smoothly varying nondepleted pump waves in a nearly degenerate four-wave-mixing geometry. Signal depletion is retained in the equations and we study the effect that detuning on the input signal from the degenerate pump amplitudes has on the reflected conjugate wave and the transmitted signal wave. A general result is derived for the appearance of spontaneous amplification under weak restrictions on the profile of the degenerate pump fields. The conjugation of the phase front of the signal is studied for exponential and hyperbolic secant functions multiplying the coupling coefficients and comparison is made with corresponding results for square profile pump fields. These results are discussed and their relevance to phase conjugation of pulses is examined. Keywords: Degenerate four wave mixing, Optical phase conjugation, Signal field, Smooth profiles, and Pump profiles.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Apr 15, 1987
Accession Number
ADA196716

Entities

People

  • C. C. Sung
  • C. M. Bowden
  • J. W. Haus

Organizations

  • Battelle Memorial Institute

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Amplitude
  • Differential Equations
  • Distortion
  • Electric Fields
  • Electromagnetic Fields
  • Equations
  • Frequency
  • Intensity
  • New York
  • Notation
  • Numbers
  • Phase Conjugation
  • Phase Distortion
  • Signal Processing
  • Steady State
  • Wave Mixing
  • Waves

Fields of Study

  • Engineering
  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Optical Physics and Photonics.