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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 72, Iss. 7 — Jul. 1, 1982
  • pp: 861–863

Effect of backscattering in phase conjugation with weak scatterers

G. S. Agarwal, Ari T. Friberg, and E. Wolf  »View Author Affiliations


JOSA, Vol. 72, Issue 7, pp. 861-863 (1982)
http://dx.doi.org/10.1364/JOSA.72.000861


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Abstract

An extension is presented of a recently developed theory (based on the first Born approximation) of cancellation of distortions by phase conjugation. The influence of backscattering of both the incident and the conjugate waves is considered. It is shown that, when backscattering is taken into account, distortions are not eliminated by phase conjugation, except when the conjugate wave is generated without a loss or a gain.

© 1982 Optical Society of America

Citation
G. S. Agarwal, Ari T. Friberg, and E. Wolf, "Effect of backscattering in phase conjugation with weak scatterers," J. Opt. Soc. Am. 72, 861-863 (1982)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-72-7-861


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References

  1. G. S. Agarwal and E. Wolf, "Theory of phase conjugation with weak scatterers," J. Opt. Soc. Am. 72, 321–326 (1982).
  2. From now on we omit the periodic time-dependent factor e-iωt.
  3. The term "conjugate wave" has to be interpreted here with caution because, in general, there will be additional contributions arising from backscattering toward the plane z = z1.
  4. E. Wolf, "Three-dimensional structure determination of semi-transparent objects from holographic data," Opt. Commun. 1, 153–156 (1969).
  5. The domain of integration in Eqs. (8) and (9) is |K| < ko rather than |K| < ∞ because the plane waves corresponding to |K| > ko are evanescent [see Eq. (5b)], and such waves are omitted here in accordance with assumption (b) above.
  6. E. Wolf, "Phase conjugacy and symmetries in spatially bandlimited wavefields containing no evanescent components," J. Opt. Soc. Am. 70, 1311–1319 (1980). Equation (2.1) of this reference contains a misprint. U(2)(x, y, z)eiωt should be replaced by U(2)(x, y, z) e-ωt. Also, Eq. (1.8) should read A(u/k, v/k) = k2U(u, v; z)e-ωt. These corrections do not affect any other equations or conclusions of that paper.

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