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- W4233374640 abstract "Linear Fredholm integral equations are derived for the Stokes vector of polarized radiation, emergent from a scattering plane parallel semi-infinite medium, by means of the full range orthogonality and completeness properties of Case's eigensolutions. A renormalization concerning the eigenmode with the greatest discrete eigenvalue is applied, which permits us to obtain a new integral equation for the zeroth Fourier component of the radiation field. The kernel of the integral equations is given in terms of Case's eigenfunctions or of the Green's function matrix for an infinite medium. For isotropic scattering, it is shown that the integral equation can be solved by means of a very rapidly convergent Neumann series. Physical arguments lead to the conclusion that the renormalized Fredholm integral equations are well suited also for arbitrary phase matrices." @default.
- W4233374640 created "2022-05-12" @default.
- W4233374640 date "1961-08-01" @default.
- W4233374640 modified "2023-10-10" @default.
- W4233374640 title "Variational calculations of scattering" @default.
- W4233374640 doi "https://doi.org/10.1016/0003-4916(61)90024-0" @default.
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