Linear singular integral equations for polarized radiation in isotropic media

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Abstract
Linear singular integral equations are derived for polarized radiation fields in semi infinite and finite plane parallel atmospheres. An arbitrary phase matrix and any distribution of primary sources are assumed. The integral equations together with appropriate sets of linear constraints arise from functional relations derived by means of CASE's eigenfunctions and their full range completeness and orthogonality. The emergent radiation is described by half range singular integral equations, whereas the STOKES vector of the inner radiation field obeys full range integral equations depending on the emergent radiation.