DIFFUSE REFLECTION AND TRANSMISSION OF LIGHT BY A MEDIUM WITH AN ARBITRARY SCATTERING INDICATRIX

The diffuse reflection and transmission of light in a finite atmospher e and reflection in a semi-infinite plane-parallel atmosphere is consi dered for both conservative and nonconservative scattering. The scatte ring indicatrix is expanded in Legendre polynomials and averaged in az imuth, and has N + 1 terms. General Sobolev theory is used to derive l inear algebraic equations determining the auxiliary polynomials q(i)(m u) and s(i)(mu). As shown by Sobolev, the solution of the problem at h and can be reduced to the derivation of these polynomials.