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The discrete ordinates method (DOM) of solution to the 1D radiative transferequation has been an effective method of solution for nearly 70 years. Duringthat time, the method has experienced numerous improvements as numerical andcomputational techniques have become more powerful and efficient. Here, weagain consider the analytical solution to the discrete radiative transferequation in a homogeneous medium by proposing a new, and consistent, form ofsolution that improves upon previous forms. Aided by a Wynn-epsilon convergenceacceleration, its numerical evaluation can achieve extreme accuracy asdemonstrated by comparison with published benchmarks. Finally, we readilyextend the solution to a heterogeneous medium through the star productformulation producing a novel benchmark for closed form Henyey-Greensteinscattering as an example.

The Response Matrix Discrete Ordinates Solution to the 1D Radiative Transfer Equation