Abstract
Themethod introduced intheauthor’s twopreviousworks isusedtosolve theproblemofdiffuse reflectionfromasemi-infiniteplane-parallel scattering-absorbingmediuminthegeneralcaseof redistributionofradiationbyfrequenciesanddirectionsinanelementaryactofscattering.Asystemoffunctional equationswasobtainedtodeterminetheunknowneigenfunctionsandeigenvalues.Theinitialproblemof thesixexplanatoryvariablesisexplicitlyexpressedintermsoftheseeigenfunctionsthatdependonlyon threeindependentvariables(dimensionlessfrequency,zenithangle,andazimuth).
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