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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 8 — Mar. 10, 2011
  • pp: 1124–1135

Moment-matching method for extraction of asymmetric beam jitters and bore sight errors in simulations and experiments with actively illuminated satellites of small physical cross section

V. S. Rao Gudimetla and Jim F. Riker  »View Author Affiliations


Applied Optics, Vol. 50, Issue 8, pp. 1124-1135 (2011)
http://dx.doi.org/10.1364/AO.50.001124


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Abstract

Optical returns from remote resident space-based objects such as satellites suffer from pointing and tracking errors. In a previously reported paper [ Appl. Opt. 46, 5608 (2007)], we developed a moment-matching technique that used the statistics of time series of these optical returns to extract information about bore sight and symmetric beam jitter errors (symmetric here implies that the standard deviations of the jitter measured along two orthogonal axes, perpendicular to the line of sight, are equal). In this paper, we extend that method to cover the case of asymmetric beam jitter and bore sight. The asymmetric beam jitter may be due to the combination of symmetric atmospheric turbulence beam jitter and optical beam train jitter. In addition, if a tracking control system is operating, even the residual atmospheric tracking jitter could be asymmetric because the power spectrum is different for the slewing direction compared to the cross-track direction. Analysis of the problem has produced a set of nonlinear equations that can be reduced to a single but much higher-order nonlinear equation in terms of one of the jitter variances. After solving for that jitter, all the equations can be solved to extract all jitter and bore sight errors. The method has been verified by using simulations and then tested on experimental data. In order to develop this method, we derived analytical expressions for the probability density function and the moments of the received total intensity. The results reported here are valid for satellites of small physical cross section, or else those with retroreflectors that dominate the signal return. The results are, in general, applicable to the theory of noncircular Gaussian speckle with a coherent background.

OCIS Codes
(010.1300) Atmospheric and oceanic optics : Atmospheric propagation
(120.0280) Instrumentation, measurement, and metrology : Remote sensing and sensors
(120.5630) Instrumentation, measurement, and metrology : Radiometry
(130.6750) Integrated optics : Systems
(010.1285) Atmospheric and oceanic optics : Atmospheric correction

ToC Category:
Atmospheric and Oceanic Optics

History
Original Manuscript: September 20, 2010
Revised Manuscript: January 5, 2011
Manuscript Accepted: January 11, 2011
Published: March 7, 2011

Citation
V. S. Rao Gudimetla and Jim F. Riker, "Moment-matching method for extraction of asymmetric beam jitters and bore sight errors in simulations and experiments with actively illuminated satellites of small physical cross section," Appl. Opt. 50, 1124-1135 (2011)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-50-8-1124

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