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(gzipped) PostScript## Polarized line formation by resonance scattering## I. Basic formalism
The model two-level problem of non-LTE line formation in
homogeneous plane atmospheres is reconsidered with the complete
account of polarization arising in resonance scattering. We use the
approximation of complete frequency redistribution (CFR) and restrict
our discussion to the most important case of axially symmetric
radiation fields in semi-infinite atmospheres. The primary sources are
assumed to be partially polarized. The problem is reduced to the
matrix Wiener-Hopf integral equation for the
matrix source function . The matrix kernel
of the -operator appearing
in this equation is represented as a continuous superposition of
exponentials. As we show in Paper II of the series, this enables
one to develop a matrix version of the analytical theory which, on the
one hand, is a generalization of the scalar CFR theory and, on the
other, is the CFR version of the theory of multiple monochromatic
Rayleigh scattering. As a preparatory step for this, we discuss in
detail the properties of the kernel matrix and
the dispersion matrix . The latter is essentially
the two-sided Laplace transform of . We consider
the asymptotic behavior of and
for large and
Online publication: July 8, 1998 |