Stochastic theory of temperature distribution and thermal emission of half-space with random time-dependent surface temperature

Abstract

On the basis of results of simultaneous solution of thermal emission transfer and thermal conductivity equations, the stochastic theory of temperature distribution and thermal radioemission of medium (half-space) has been developed. Expressions for covariance functions of temperature profile and brightness temperature as functions of statistical parameters of half-space surface temperature, which was considered as a random function of time, have been obtained.