Time-dependent X- and Y-functions for a homogeneous isotropically-scattering atmosphere by principle of invariance

Statistics – Computation

Scientific paper

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Atmospheric Scattering, Computational Astrophysics, Invariance, Novae, Stellar Atmospheres, Integral Equations, Isotropic Media, Laplace Transformation, Stellar Evolution, Time Dependence

Scientific paper

Karanjai and Biswas (1988) derived the time-dependent X- and Y-functions for a homogeneous, plane-parallel, nonemitting, and isotropic atmosphere of finite thickness, using the integral-equation method developed by Rybicki (1971); they then (1989) derived the time-dependent H-, X-, and Y-functions in a homogeneous atmosphere scattering anisotropically with Dirac delta-function type and Heavyside unit-step function type time-dependence incidence. The principle of invariance is presently employed to arrive at expressions for time-dependent X- and Y-functions.

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