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Transformation equations in polarization optics of inhomogeneous birefringent media

, : Transformation equations in polarization optics of inhomogeneous birefringent media. Journal of the Optical Society of America. A, Optics, Image Science, and Vision 18(9): 2164-2170

The quaternion formalism has been used to derive new systems of equations that describe transformation of the polarization of light in inhomogeneous birefringent media. In quaternion algebra the problem of parametric representation of the unitary transformation matrix reduces to the problem of formulation of the quaternion in trigonometric form. It is shown that this can be done in 30 different ways and that to each trigonometric form corresponds its own system of transformation equations. The six simplest systems of transformation equations have been derived.


PMID: 11551050

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