A solutionto the boundary-value problem of transport theory for a planar layer with a horizontally inhomogeneous boundary of an interface between two media (Q1385889)

Using the method of influence functions and space-frequency characteristics in the class of slowly growing generalized functions, we construct the asymptotically exact solution to the boundary-value problem of transport theory with a preset illuminance of the interface. We consider a scattering and absorbing planar layer that is not bounded horizontally and has a finite height. A horizontally inhomogeneous interface between two media lies inside the layer. The interface transmits and reflects radiation. The transport system is assumed to be nonmultiplying.