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Applied Optics

Applied Optics


  • Vol. 37, Iss. 15 — May. 20, 1998
  • pp: 3143–3148

Aperture dependence of the mixing efficiency, the signal-to-noise ratio, and the speckle number in coherent lidar receivers

Walter R. Leeb, Peter J. Winzer, and Klaus H. Kudielka  »View Author Affiliations

Applied Optics, Vol. 37, Issue 15, pp. 3143-3148 (1998)

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With the aid of the van Cittert–Zernike theorem we develop an analytical expression for the ensemble-averaged heterodyne mixing efficiency in coherent lidar receivers that are looking at a diffuse target that is in the receiver’s far field. Our extremely simple and straightforward analysis shows that the dependence of the mixing efficiency on the receive aperture size d R first follows a parabolic decrease and later approaches a (d R )-2 function. As a consequence, the signal-to-noise ratio does not increase proportionally to the aperture area but saturates. For the system model chosen, the heterodyne mixing efficiency exhibits the same functional dependence on the lidar geometry as the reciprocal of the number of speckle cells within the receive aperture.

© 1998 Optical Society of America

OCIS Codes
(010.1310) Atmospheric and oceanic optics : Atmospheric scattering
(010.3640) Atmospheric and oceanic optics : Lidar
(030.6140) Coherence and statistical optics : Speckle
(040.2840) Detectors : Heterodyne
(120.0280) Instrumentation, measurement, and metrology : Remote sensing and sensors
(280.3640) Remote sensing and sensors : Lidar

Original Manuscript: August 25, 1997
Revised Manuscript: January 29, 1998
Published: May 20, 1998

Walter R. Leeb, Peter J. Winzer, and Klaus H. Kudielka, "Aperture dependence of the mixing efficiency, the signal-to-noise ratio, and the speckle number in coherent lidar receivers," Appl. Opt. 37, 3143-3148 (1998)

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