Radiative transfer in a free-electron atmosphere

Siewert, C. E.; Fraley, Stanley K.

doi:10.1016/0003-4916(67)90155-8

Cited by 28 publications

(3 citation statements)

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“…c = 1 and w ∈ [0, 1] yields general Rayleigh scattering (Siewert 1998). The general solution of (1) can be written as…”

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confidence: 99%

“…This equation determines two allowable λ(η) functions which in turn determine two linearly independent M i (η) (Siewert and Fraley 1967). These normalization vectors M i (η) have one degree of freedom, and suitable forms are readily available through (17) and (19) (Siewert 1972)…”

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confidence: 99%

“…Sobolev also analyzed this problem by an equivalent method (Sobolev 1963). To construct rigorous analytical solutions to the Milne problem and other half-space problems, Siewert and Fraley (1967) used to advantage the singular eigenfunction expansion technique developed by Case (1960). Similar methods have been used to establish full-range completeness and orthogonality theorems to the normal mode approach for a conservative combination of Rayleigh and isotropic scattering (Mourad and Siewert 1969), and the numerical results have been obtained for the half-space Milne problem (Mourad 1970).…”

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The H N method for Milne problem with polarization

Şenyiğit

Kaşkaş

2007

Astrophys Space Sci

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The H N method, employed for studies in neutron transport theory, is used to establish numerical results basic to the vector equation describing the transfer of polarized light in a Rayleigh scattering atmosphere with true absorption. The method has been applied to the classical Milne problem. The exit distribution is defined as a series in powers of the zenith observation angle. The numerical results are computed and compared with exact values obtained using the exit distribution in terms of the H-matrix. The numerical results are in good agreement with previously published findings.

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“…c = 1 and w ∈ [0, 1] yields general Rayleigh scattering (Siewert 1998). The general solution of (1) can be written as…”

mentioning

confidence: 99%

mentioning

confidence: 99%

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confidence: 99%

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