Improved Chebyshev spectral method modeling for vector radiative transfer in atmospheric propagation

An improved spectral coefficient method based on Chebyshev polynomials of the second kind is employed to solve the vector radiative transfer equation under the assumption of parallel-plane atmosphere and Rayleigh scattering. The solver is extended to consider a Lambertian surface at the bottom of the atmosphere. The computational properties of the proposed algorithm are analyzed and the validity of the implemented method is tested against a publicly available benchmark dataset.