dorsal/arxiv
View SchemaPolarization Elements-A Group Theoretical Study
| Authors | Sudha, A. V. Gopala Rao |
|---|---|
| Categories | |
| ArXiv ID | physics/0007079 |
| URL | https://arxiv.org/abs/physics/0007079 |
| DOI | 10.1364/JOSAA.18.003130 |
Abstract
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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"abstract": "The Classification of Polarization elements, the polarization affecting\noptical devices which have a Jones matrix representation, according to the\ntypes of eigenvectors they possess, is given a new visit through the\nGroup-theoretical connection of polarization elements. The diattenuators and\nretarders are recognized as the elements corresponding to boosts and rotations\nrespectively. The structure of homogeneous elements other than diattenuators\nand retarders are identified by giving the quaternion corresponding to these\nelements. The set of degenerate polarization elements is identified with the so\ncalled `null\u0027 elements of the Lorentz Group. Singular polarization elements are\nexamined in their more illustrative Mueller matrix representation and finally\nthe eigenstructure of a special class of singular Mueller matrices is studied.",
"arxiv_id": "physics/0007079",
"authors": [
"Sudha",
"A. V. Gopala Rao"
],
"categories": [
"physics.optics"
],
"doi": "10.1364/JOSAA.18.003130",
"title": "Polarization Elements-A Group Theoretical Study",
"url": "https://arxiv.org/abs/physics/0007079"
},
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