Advertisement

Multiple-Conjugation Expansion: An Alternative Approach to Scattering in the Presence of a Phase-Conjugate Mirror

  • Ari T. Friberg
Conference paper

Abstract

One of the main applications of the technique of nonlinear optical phase conjugation* concerns the elimination or reduction of distortions introduced into an electromagnetic wave by some scattering medium such as a turbulent atmosphere or an imperfect optical element.l,2 An analysis of the degree of correction of wavefront distortions achievable by this method requires the solution of the electromagnetic scattering problem under the influence of the phase-conjugating device. To this end a new integral equation was recently derived3–5 for the scattering of an electromagnetic field in the presence of a phase-conjugate mirror (PCM). We begin by briefly recalling this integral equation and the approximations that are involved. For the sake of simplicity, we consider here only scalar wavefields.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A. Yariv, Phase conjugate optics and real-time holography, IEEE J. Quantum Electron, QE-14, 650 (1978).ADSCrossRefGoogle Scholar
  2. 2.
    D. M. Pepper, Nonlinear optical phase conjugation, Opt. Eng. 21, 156 (1982).ADSCrossRefGoogle Scholar
  3. 3.
    G. S. Agarwal, A. T. Friberg and E. Wolf, Elimination of distortions by phase conjugation without losses or gains, Opt. Commun. 43, 446 (1982).ADSCrossRefGoogle Scholar
  4. 4.
    A. T. Friberg, Integral equation for the scattered field in the presence of a phase-conjugate mirror, J. Opt. Soc. Am. 73, 405 (1983).ADSCrossRefMathSciNetGoogle Scholar
  5. 5.
    G. S. Agarwal, A. T. Friberg and E. Wolf, Scattering theory of distortion correction by phase conjugation, J. Opt. Soc. Am. 73, 529 (1983).ADSCrossRefGoogle Scholar
  6. 6.
    J. R. Taylor, “Scattering Theory”, Wiley, New York (1972), Sec. 8-b.Google Scholar
  7. 7.
    A. Banos, “Dipole Radiation in the Presence of a Conducting Half-Space”, Pergamon, Oxford (1966), Eq. (2.19).Google Scholar
  8. 8.
    E. Wolf, Phase conjugacy and symmetries in spatially bandlimited wavefields containing no evanescent components, J. Opt. Soc. Am. 70, 1311 (1980).ADSCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 1984

Authors and Affiliations

  • Ari T. Friberg
    • 1
  1. 1.Department of Technical PhysicsHelsinki University of TechnologyEspoo 15Finland

Personalised recommendations