dorsal/arxiv
View SchemaJones-matrix Formalism as a Representation of the Lorentz Group
| Authors | D. Han, Y. S. Kim, Marilyn E. Noz |
|---|---|
| Categories | |
| ArXiv ID | physics/9703032 |
| URL | https://arxiv.org/abs/physics/9703032 |
| DOI | 10.1364/JOSAA.14.002290 |
Abstract
It is shown that the two-by-two Jones-matrix formalism for polarization optics is a six-parameter two-by-two representation of the Lorentz group. The attenuation and phase-shift filters are represented respectively by the three-parameter rotation subgroup and the three-parameter Lorentz group for two spatial and one time dimensions. It is noted that the Lorentz group has another three-parameter subgroup which is like the two-dimensional Euclidean group. Possible optical filters having this Euclidean symmetry are discussed in detail. It is shown also that the Jones-matrix formalism can be extended to some of the non-orthogonal polarization coordinate systems within the framework of the Lorentz-group representation.
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"abstract": "It is shown that the two-by-two Jones-matrix formalism for polarization\noptics is a six-parameter two-by-two representation of the Lorentz group. The\nattenuation and phase-shift filters are represented respectively by the\nthree-parameter rotation subgroup and the three-parameter Lorentz group for two\nspatial and one time dimensions. It is noted that the Lorentz group has another\nthree-parameter subgroup which is like the two-dimensional Euclidean group.\nPossible optical filters having this Euclidean symmetry are discussed in\ndetail. It is shown also that the Jones-matrix formalism can be extended to\nsome of the non-orthogonal polarization coordinate systems within the framework\nof the Lorentz-group representation.",
"arxiv_id": "physics/9703032",
"authors": [
"D. Han",
"Y. S. Kim",
"Marilyn E. Noz"
],
"categories": [
"physics.optics",
"cond-mat",
"hep-th"
],
"doi": "10.1364/JOSAA.14.002290",
"title": "Jones-matrix Formalism as a Representation of the Lorentz Group",
"url": "https://arxiv.org/abs/physics/9703032"
},
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