Radiative transfer in absorbing, emitting and linearly anistropically scattering spherical media

Radiative transfer in absorbing, emitting, linearly anistropically scattering spherical media occupying the region 0 ≤ r ≤ R is analyzed. Our analysis utilizes a recently developed integral form of the equation of transfer. To obtain a solution to the quantities of physical interest, power series expansions are employed. A linear system of coupled algebraic equations for the unknown expansion coefficients is generated by the application of Galerkin's method, and the resulting system is then readily solved by standard methods. Examination of the convergence of the solution, as represented by the results of the emissivity, indicate that highly accurate solutions are obtainable. Comparisons of results and a discussion of the accuracy of the P₁ approximation are also presented.