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

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

http://dx.doi.org/10.1364/AO.39.004255

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### Abstract

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

**History**

Original Manuscript: November 5, 1999

Revised Manuscript: April 24, 2000

Published: August 20, 2000

**Citation**

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

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-39-24-4255

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### References

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