Exact Solution of Chandrasekhar's H Function For the Isotropic Case

This study provides an exact solution to Chandrasekhar’s H function for isotropic scattering. The H function, which is governed by a nonlinear integral equation, plays a central role in radiative transfer theory. To facilitate the solution, the differential form of the integral equation is derived using classical integral techniques. The resulting differential equation is then solved to yield an exact expression for the H function. Numerical results obtained from the exact solution are compared with those reported by Chandrasekhar, and the differences are presented in tabular format.