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In the spherical harmonics approach to solving the radiative transfer equation (RTE), the phase function or the phase matrix (for the vector, i.e. polarized light case) and also the radiance (or the Stokes vector) are expanded with respect the spherical harmonic functions (for example, http://en.wikipedia.org/wiki/Spherical_harmonics) and the integrals are calculated analytically. The remaining system of differential equations is solved numerically. Clearly, the spherical harmonics method is identical to the discrete ordinates method for the 0-th order azimuthal harmonic. [AAK]
See also radiative transfer equation, solution methods, numerical, spherical harmonics for additional references.
| CITATION: Kokhanovsky A. A. (ed.) 2008. Radiative transfer equation (RTE): Numerical solution methods - Spherical harmonics (www.tpdsci.com/Tpc/RTESolNumSh.php). In: Top. Part. Disp. Sci. (www.tpdsci.com). |
HISTORY: Published: 11-Jun-2008 Modified: 11-Jun-2008 Peer-reviewed: PENDING |
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