Polarization Elements-A Group Theoretical Study

Details Polarization Elements-A Group Theoretical Study Polarization Elements-A Group Theoretical Study

2000-07-26

arxiv.org/abs/physics/0007079v1

Physics

Optics

7 pages, 2 tables, submitted to `Optics Communications'

Scientific paper

10.1364/JOSAA.18.003130

The Classification of Polarization elements, the polarization affecting optical devices which have a Jones matrix representation, according to the types of eigenvectors they possess, is given a new visit through the Group-theoretical connection of polarization elements. The diattenuators and retarders are recognized as the elements corresponding to boosts and rotations respectively. The structure of homogeneous elements other than diattenuators and retarders are identified by giving the quaternion corresponding to these elements. The set of degenerate polarization elements is identified with the so called `null' elements of the Lorentz Group. Singular polarization elements are examined in their more illustrative Mueller matrix representation and finally the eigenstructure of a special class of singular Mueller matrices is studied.

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