Radiation output of a spherical homogeneous plasma: Analytical models of computing the spectral brightness of plasma objects with various configurations |
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Authors: | D V Barishpol’tsev S Yu Gus’kov E M Ivanov P S Kotegov V B Rozanov |
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Institution: | (1) P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, Moscow, 119991, Russia |
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Abstract: | Analytical relationships between the photon-emission probability from a surface and the optical thickness along with analytical
relationships between the spectral brightness of a homogeneous plasma of spherical geometry are derived with taking into account
the radiation absorption. The photon-emission probability and the spectral brightness are also obtained for a plasma of cylindrical
geometry and a plasma consisting of spherical layers. The relationships are given in the integral form, while attempts to
find them analytically, i.e., to calculate the integrals, failed. However, they can be computed numerically. The formula for
spectral brightness is derived for the case of radiation of two flat layers, which differ by the structure, thickness, and
thermodynamic and spectral characteristics. The expressions for the spherical and flat layers are compared. The ratio of the
dimensions permitted to approximate the flat case by the spherical case is found. The criteria of applicability and accuracy
of such approximation have been elaborated. As examples of the application of the expressions derived, the radiation spectra
of the aluminum, carbon, copper, and oxygen plasmas were calculated and plotted.
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Translated from Preprint No. 33 of the P. N. Lebedev Physical Institute, Moscow (2006). |
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Keywords: | plasma radiation emissivity radiation transport absorbtion coefficient |
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