A method is presented for the treatment of tokamak polarimetric systems, which is a hybrid between the Jones matrix and the Poincare sphere methods. The method can be readily applied both to analytical and to numerical treatments and therefore is a useful alternative to the method described recently by Soltwisch which uses only Jones matrices and can only be used for numerical analysis. Analytical expressions are given for the case when the ellipticity of the radiation is finite, but small, and when plasma effects are also small. These expressions can supply the constraints required for MHD equilibria reconstruction.
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