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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 59, Iss. 1 — Jan. 1, 1969
  • pp: 10–11

Optical Heterodyne Detection of a Randomly Distorted Signal Beam

J. P. MORELAND and S. A. COLLINS,JR.  »View Author Affiliations

JOSA, Vol. 59, Issue 1, pp. 10-11 (1969)

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This paper defines the time-invariant detection scheme which yields the largest average signal-to-noise ratio in the heterodyne detection of a randomly distorted optical signal. It is shown that the detection scheme may be realized by properly shaping both the isophase surface and the irradiance distribution of the local-oscillator beam. Applied to the case of an atmospherically distorted optical plane wave it is shown that although the optimum local-oscillator beam differs significantly from a plane wave, the increase of average signal-to-noise ratio, over the plane-wave case as reported by Fried, is negligible (less than 10%).

J. P. MORELAND and S. A. COLLINS,JR., "Optical Heterodyne Detection of a Randomly Distorted Signal Beam," J. Opt. Soc. Am. 59, 10-11 (1969)

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  1. D. L. Fried, Proc. IEEE 55, 57 (1967).
  2. J. Gardner, IEEE International Convention Record 12, 337 (1964).
  3. C. W. Helstrom, J. Opt. Soc. Am. 57, 353 (1967).
  4. R. F. Lucy, Proc. IEEE 51, 162 (1963).
  5. 5 R. Courant and D. Hilbert, Methods of Mathematical Physics (Interscience Publishers, John Wiley & Sons, Inc., New York, 1953), Ch. 3.
  6. James P. Moreland, Ph.D. dissertation, Ohio State University (1967).

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