Backscattering radiance calculation in a turbid medium with anisotropic scattering by spherical harmonics method

Vladimir Boudak; Alexis V. Kozelsky

doi:10.1117/12.497195

27 March 2003 Backscattering radiance calculation in a turbid medium with anisotropic scattering by spherical harmonics method

Vladimir Boudak, Alexis V. Kozelsky

Author Affiliations +

Proceedings Volume 5026, Ninth Joint International Symposium on Atmospheric and Ocean Optics/Atmospheric Physics. Part I: Radiation Propagation in the Atmosphere and Ocean; (2003) https://doi.org/10.1117/12.497195
Event: Ninth Joint International symposium on Atmospheric and Ocean Optics, 2002, Tomsk, Russian Federation

Abstract

In actual mediums with anisotropic scattering in small angle approximation (SA) is possible simply and accurately to calculate light field radiance in forward from a source directions. The backscattering calculation in these mediums by any known method is complex and has no sufficient precision for practical problems: spherical harmonics (SH) method has strong oscillation, Monte-Carlo method has a large variance, concerned with improbable event with large weight, and the first iteration from SA has uncontrollable precision and validity range. In suggested solution the refinement of SA is found by SH method. The SA solution is taken in small angle modification of SH method. This allows receiving analytical solution in the form of an exponential of matrix. Last circumstance requires numerical calculation under the obtained expression, however in the most unfavorable case the amount of terms in the refinement does not exceed 21 harmonics. The solution is practically smooth at any sharpness of a scattering phase function. Calculation time on the obtained algorithm is almost equivalent to time of calculation on SA. In addition, algorithm improving radiance distributions in a forward hemisphere.

Citation Download Citation

Vladimir Boudak and Alexis V. Kozelsky "Backscattering radiance calculation in a turbid medium with anisotropic scattering by spherical harmonics method", Proc. SPIE 5026, Ninth Joint International Symposium on Atmospheric and Ocean Optics/Atmospheric Physics. Part I: Radiation Propagation in the Atmosphere and Ocean, (27 March 2003); https://doi.org/10.1117/12.497195

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available