Wavelets in the solution of thermal radiative transfer equation

Abstract

The wavelet bases approximation idea which is first proposed by Daubechies is successfully introduced in both nongray and linear anisotropic scattering radiation fields. In nongray medium, wavelet bases are used in frequency domain in radiative transfer equation. Wavelet method allows the radiative problems to be calculated with fewer assumptions. Wavelet method also can be combined with arbitrary absorption coefficient model. Results by wavelet method compare well with box model absorption coefficient cases. Deviations are observed in situations in which the medium is optically thin. In scattering medium, wavelet bases are used in angular domain. Promising results are shown in linear anisotropic scattering cases. It also can be used with arbitrary scattering model.