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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 28 — Oct. 1, 2012
  • pp: 6753–6764

Order-of-scattering point spread and modulation transfer functions for natural waters

Deric J. Gray  »View Author Affiliations

Applied Optics, Vol. 51, Issue 28, pp. 6753-6764 (2012)

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The point spread and modulation transfer functions for natural waters are derived using the small-angle approximation to radiative transfer theory. The functional forms are expanded into a summation of terms that represent each order-of-scattering contribution to the total. The beam spread function is shown to be a product of an angle function that depends only on the phase function of the medium and a weighting factor that depends only on the optical properties and depth. The modulation transfer function is similarly shown as a product of a function depending only on the spatial frequency and a weighting function. These results are compared with Monte Carlo calculations using two different phase functions, with excellent agreement. The results suggest the small-angle approximation to be valid over a much larger angular range than previously thought.

OCIS Codes
(010.0010) Atmospheric and oceanic optics : Atmospheric and oceanic optics
(290.4210) Scattering : Multiple scattering
(110.0113) Imaging systems : Imaging through turbid media
(010.4455) Atmospheric and oceanic optics : Oceanic propagation
(010.7295) Atmospheric and oceanic optics : Visibility and imaging
(010.5620) Atmospheric and oceanic optics : Radiative transfer

ToC Category:

Original Manuscript: July 16, 2012
Manuscript Accepted: August 27, 2012
Published: September 25, 2012

Deric J. Gray, "Order-of-scattering point spread and modulation transfer functions for natural waters," Appl. Opt. 51, 6753-6764 (2012)

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