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31 March 2008 Generalized conditions for eigenpolarizations orthogonality: Jones matrix calculus
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It is known, that all four basic types of anisotropy, circular and linear birefringence and circular and linear dichroism, each taken separately, possess orthogonal eigenpolarizations. Generalized birefringence, i.e. the case of medium exhibiting linear and circular birefringencesimultaneously, is characterized by unitary matrix model and has orthogonal eigenpolarizations. At the same time, simultaneous presence of dichroism and birefringence in a medium may lead to nonorthogonal eigenpolarizations. However, to the best of our knowledge, so far there has been no systematic study of conditions under which such medium possesses orthogonal eigenpolarizations. Ascertainment of generalized conditions for orthogonality of medium's eigenpolarizations allows determining the structure and symmetry of matrix model
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Sergey N. Savenkov and Yevgeny A. Oberemok "Generalized conditions for eigenpolarizations orthogonality: Jones matrix calculus", Proc. SPIE 6972, Polarization: Measurement, Analysis, and Remote Sensing VIII, 697210 (31 March 2008);

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