Integral form of the time-dependent radiation transfer equation—III. Moving boundaries

Abstract

The theory of characteristics is used to give the general time-dependent integral form of the transfer equation in a time-dependent, inhomogeneous medium, submitted to arbitrary boundary and initial conditions. The medium emits and absorbs radiations, but scattering is neglected. The boundary condition is applied to a moving surface. The general solution is given analytically in Cartesian and spherical coordinates for a 1-D configuration.