albedo problem in a semi-infinite medium with pure-triplet scattering

Particle transport problem in an absorbing, scattering and homogeneous semi-infinite medium with pure-triplet scattering is considered. The medium is subjected to externally incident radiation. The problem is solved by using an efficient and accurate method of analysis which utilizes trial functions based on Case’s eigenmodes plus a linear combination of exponential functions. This trial function is used in the integral form of the transport equations, which transfer it to a system of algebraic equations in unknown expansion coefficients. The expansion coefficients are used to calculate some physical quantities as the albedo and the net flux at the boundary of the medium. Numerical results are reported and compared with that calculated by another trial functions.