Radiative transport equation in rotated reference frames
نویسندگان
چکیده
منابع مشابه
Radiative transport equation in rotated reference frames
A novel method for solving the linear radiative transport equation (RTE) in a three-dimensional homogeneous medium is proposed and illustrated with numerical examples. The method can be used with an arbitrary phase function A(ŝ, ŝ′)with the constraint that it depends only on the angle between the angular variables ŝ and ŝ′. This assumption corresponds to spherically symmetric (on average) rando...
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Weyl-Heisenberg frames are complete signal representations corresponding to rectangular tiling of the time-frequency plane. Extensions of these frames are obtained in the rotated time-frequency planes by using the fractional Fourier transformation. It is shown that rotation does not affect the frame bounds. For some specific angles, lattices in rotated coordinates will map to the lattices in th...
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A new effective approach to solving the three-dimensional radiative transport equation with an arbitrary phase function is proposed. The solution depends on eigenvectors and eigenvalues of several symmetrical tridiagonal matrices of infinite size. The matrices must be truncated and diagonalized numerically. Then, given eigenvectors and eigenvalues of these matrices, the dependence of the soluti...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 2005
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/39/1/009