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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 23 — Aug. 10, 2006
  • pp: 5984–5992

Fast approximate calculation of multiply scattered lidar returns

Robin J. Hogan  »View Author Affiliations

Applied Optics, Vol. 45, Issue 23, pp. 5984-5992 (2006)

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An efficient method is described for the approximate calculation of the intensity of multiply scattered lidar returns. It divides the outgoing photons into three populations, representing those that have experienced zero, one, and more than one forward-scattering event. Each population is parameterized at each range gate by its total energy, its spatial variance, the variance of photon direction, and the covariance of photon direction and position. The result is that for an N-point profile the calculation is O ( N 2 ) efficient and implicitly includes up to N-order scattering, making it ideal for use in iterative retrieval algorithms for which speed is crucial. In contrast, models that explicitly consider each scattering order separately are at best O ( N m / m ! ) efficient for m-order scattering and often cannot be performed to more than the third or fourth order in retrieval algorithms. For typical cloud profiles and a wide range of lidar fields of view, the new algorithm is as accurate as an explicit calculation truncated at the fifth or sixth order but faster by several orders of magnitude.

© 2006 Optical Society of America

OCIS Codes
(280.3640) Remote sensing and sensors : Lidar
(290.0290) Scattering : Scattering
(290.1090) Scattering : Aerosol and cloud effects
(290.4210) Scattering : Multiple scattering

Original Manuscript: November 18, 2005
Revised Manuscript: March 5, 2006
Manuscript Accepted: March 12, 2006

Robin J. Hogan, "Fast approximate calculation of multiply scattered lidar returns," Appl. Opt. 45, 5984-5992 (2006)

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