Particle transfer problem in a two-region inhomogeneous slab with generalized boundary condition

The problem of particle transfer in a two-region inhomogeneous slab of equal or unequal thickness has been solved with general boundary conditions. A Galerkin-iterative technique is used to solve the coupled integral equations for two-regions. Numerical results are obtained for the reflection and the transmission coefficients for the homogeneous and inhomogeneous cases with diffusely and specularly reflecting boundaries condition. Results obtained for homogeneous and inhomogeneous medium are compared well with the published calculations.