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Applied Optics

Applied Optics


  • Vol. 39, Iss. 24 — Aug. 20, 2000
  • pp: 4255–4262

Single- and multiple-pulse noncoherent detection statistics associated with partially developed speckle

Gregory R. Osche  »View Author Affiliations

Applied Optics, Vol. 39, Issue 24, pp. 4255-4262 (2000)

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Single- and multiple-pulse detection statistics are presented for aperture-averaged direct detection optical receivers operating against partially developed speckle fields. A partially developed speckle field arises when the probability density function of the received intensity does not follow negative exponential statistics. The case of interest here is the target surface that exhibits diffuse as well as specular components in the scattered radiation. An approximate expression is derived for the integrated intensity at the aperture, which leads to single- and multiple-pulse discrete probability density functions for the case of a Poisson signal in Poisson noise with an additive coherent component. In the absence of noise, the single-pulse discrete density function is shown to reduce to a generalized negative binomial distribution. The radar concept of integration loss is discussed in the context of direct detection optical systems where it is shown that, given an appropriate set of system parameters, multiple-pulse processing can be more efficient than single-pulse processing over a finite range of the integration parameter n.

© 2000 Optical Society of America

OCIS Codes
(030.5260) Coherence and statistical optics : Photon counting
(030.5770) Coherence and statistical optics : Roughness
(030.6140) Coherence and statistical optics : Speckle
(040.1880) Detectors : Detection
(280.0280) Remote sensing and sensors : Remote sensing and sensors
(280.3640) Remote sensing and sensors : Lidar

Original Manuscript: November 5, 1999
Revised Manuscript: April 24, 2000
Published: August 20, 2000

Gregory R. Osche, "Single- and multiple-pulse noncoherent detection statistics associated with partially developed speckle," Appl. Opt. 39, 4255-4262 (2000)

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