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Applied Optics

Applied Optics


  • Vol. 10, Iss. 7 — Jul. 1, 1971
  • pp: 1600–1604

Signal-to-Noise Relationships for Coaxial Systems that Heterodyne Backscatter from the Atmosphere

C. M. Sonnenschein and F. A. Horrigan  »View Author Affiliations

Applied Optics, Vol. 10, Issue 7, pp. 1600-1604 (1971)

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This paper analyzes the signal-to-noise ratio for a coaxial laser system that heterodynes the signal backscattered from the atmospheric aerosol. The laser radiation, which is assumed to have a wavefront with a gaussian amplitude distribution, is transmitted into the atmosphere through a telescope. Radiation is collected by the same telescope and directed onto a detector where it is mixed with a local oscillator beam originating from the same laser source. The signal-to-noise ratio at the output of the detector is calculated under shot noise limited conditions. The calculation is general and applies for both near and far fields and for focused and unfocused systems. Three specific cases are considered. These are a pulsed system, a cw system illuminating an infinite target, and a cw system illuminating a target of finite extent.

© 1971 Optical Society of America

Original Manuscript: January 29, 1971
Published: July 1, 1971

C. M. Sonnenschein and F. A. Horrigan, "Signal-to-Noise Relationships for Coaxial Systems that Heterodyne Backscatter from the Atmosphere," Appl. Opt. 10, 1600-1604 (1971)

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  1. R. M. Huffaker, A. V. Jelalian, J. A. L. Thomson, Proc. IEEE 58, 322 (1970). [CrossRef]
  2. R. M. Huffaker, Appl. Opt. 9, 1026 (1970). [CrossRef] [PubMed]
  3. A. V. Jelalian, R. M. Huffaker, Specialist Conference on Molecular Radiation and Its Application to Diagnostic Techniques, NASA TM X-53711, p. 345, October5–6, 1967.
  4. D. E. Kerr, Propagation of Short Radio Waves (Boston Technical Publishers, Lexington, Mass., 1964).
  5. D. L. Fried, J. B. Seidman, J. Opt. Soc. Amer. 57, 181 (1967). [CrossRef]
  6. D. L. Fried, J. Opt. Soc. Amer. 57, 169 (1967). [CrossRef]
  7. I. Goldstein, P. A. Miles, A. Chabot, Proe. IEEE 53, 1172 (1965). [CrossRef]
  8. H. C. van de Hulst, Light Scattering by Small Particles (Wiley, New York, 1957).
  9. R. G. Newton, Scattering Theory of Waves and Particles (McGraw-Hill, New York, 1966).
  10. M. Ross, Laser Receivers (Wiley, New York, 1966).
  11. K. M. van Vliet, Appl. Opt. 6, 1145 (1967). [CrossRef] [PubMed]

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