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The propagation of a linearly polarized laser beam in the external transverse magnetic field is studied. We explore the effective Lagrangian of the electromagnetic field. With the help of the effective Lagrangian, Stokes parameters, induced ellipticity, and the angular rotation of the polarization plane of the beam are evaluated. Ellipticity measured in the PVLAS experiment allows us to obtain the relation between two parameters in the effective Lagrangian.
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S. I. Kruglov (2007) studied this question.
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