Resonance line polarization for arbitrary magnetic fields in optically thick media. 3: A generalization of the sqaure root of epsilon-law

Details Resonance line polarization for arbitrary magnetic fields in optically thick media. 3: A generalization of the sqaure root of epsilon-law Resonance line polarization for arbitrary magnetic fields in optically thick media. 3: A generalization of the sqaure root of epsilon-law

Apr 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...284..865l&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 284, no. 3, p. 865-873

Computer Science

Numerical Analysis

12

Isothermal Processes, Linear Polarization, Optical Thickness, Radiative Transfer, Resonance Scattering, Solar Atmosphere, Solar Magnetic Field, Sun, Analytic Functions, Integral Equations, Kernel Functions, Numerical Analysis

Scientific paper

The well-known 'square root of epsilon-law' -- one of the few exact analytical results in the theory of radiative transfer -- is generalized to the case of an isothermal, plane-parallel atmopshere in the presence of a magnetic field vector of arbitrary intensity and direction and in the presence of depolarizing collisions. A compact expression is found, relating the squares of the surface value of the upper level components of the atomic density matrix in the representation of the irreducible spherical tensors to the value of the constant Planck function. By taking the appropriate limits, the usual square root of epsilon-law for unpolarized radiation, and its generalization to resonance scattering polarization in a non-magnetic atmosphere (Ivanov 1990), are recovered as particular cases.

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