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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics


  • Editor: Gregory W. Faris
  • Vol. 3, Iss. 4 — Apr. 23, 2008

Impulse response solution to the three-dimensional vector radiative transfer equation in atmosphere–ocean systems. II. The hybrid matrix operator—Monte Carlo method

Peng-Wang Zhai, George W. Kattawar, and Ping Yang  »View Author Affiliations

Applied Optics, Vol. 47, Issue 8, pp. 1063-1071 (2008)

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A hybrid method is developed to solve the vector radiative transfer equation (VRTE) in a three- dimensional atmosphere–ocean system (AOS). The system is divided into three parts: the atmosphere, the dielectric interface, and the ocean. The Monte Carlo method is employed to calculate the impulse response functions (Green functions) for the atmosphere and ocean. The impulse response function of the dielectric interface is calculated by the Fresnel formulas. The matrix operator method is then used to couple these impulse response functions to obtain the vector radiation field for the AOS. The primary advantage of this hybrid method is that it solves the VRTE efficiently in an AOS with different dielectric interfaces while keeping the same atmospheric and oceanic conditions. For the first time, we present the downward radiance field in an ocean with a sinusoidal ocean wave.

© 2008 Optical Society of America

OCIS Codes
(010.1290) Atmospheric and oceanic optics : Atmospheric optics
(010.4450) Atmospheric and oceanic optics : Oceanic optics
(290.4210) Scattering : Multiple scattering
(290.7050) Scattering : Turbid media
(010.5620) Atmospheric and oceanic optics : Radiative transfer

ToC Category:
Atmospheric and Oceanic Optics

Original Manuscript: September 17, 2007
Revised Manuscript: January 3, 2008
Manuscript Accepted: January 9, 2008
Published: March 6, 2008

Virtual Issues
Vol. 3, Iss. 4 Virtual Journal for Biomedical Optics

Peng-Wang Zhai, George W. Kattawar, and Ping Yang, "Impulse response solution to the three-dimensional vector radiative transfer equation in atmosphere-ocean systems. II. The hybrid matrix operator--Monte Carlo method," Appl. Opt. 47, 1063-1071 (2008)

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