Correlation theory of the thermal regime and thermal radiation of a medium with random boundary conditions

Abstract

We present the results of a spectral approach to the previously developed statistical theory of temperature distribution and thermal radio emission of a medium (half-space), which is based on results of simultaneous solution of equations of thermal radio emission transfer and thermal diffusivity. We obtained relationships expressing the covariance functions of the temperature profile and the brightness temperature of radiation in terms of statistical parameters of the temperature at the half-space boundary, which is considered to be a random stationary function of time. The possibility of using the theory for the actual atmosphere is studied. The predicted phenomenon of time shift of the correlation function maximum is observed.