Computation of scattering kernels in radiative transfer. (November 2015)

• Record Type: Journal Article
• Authors: Engler, Hans
• Is Part Of: Journal of quantitative spectroscopy & radiative transfer. Volume 165(2016:Mar.)
• Page Start: 38
• Page End: 42
• Publication Date: 2015-11
• Subjects: Scattering kernel -- Phase function -- Spherical coordinates -- Plane-parallel scattering -- Trapezoidal rule -- Convergence rate; Spectrum analysis -- Periodicals; Radiation -- Periodicals; Analyse spectrale -- Périodiques; Rayonnement -- Périodiques; Radiation; Spectrum analysis; Periodicals; 543.0858
• DOI: 10.1016/j.jqsrt.2015.06.019
• Languages: English
• ISSNs: 0022-4073

Abstract

Abstract: This note proposes rapidly convergent computational formulae for evaluating scattering kernels from radiative transfer theory. The approach used here does not rely on Legendre expansions, but rather uses exponentially convergent numerical integration rules. The relation between the domain of analyticity of a given phase function and the speed of convergence is studied in detail. Abstract : Highlights: We propose the trapezoidal rule for the computation of scattering kernels. The convergence rate is related to the analyticity of the phase function. This provides a unified rapidly convergent computational approach.