Stokes Parameters as a Minkowskian Four-vector

Details Stokes Parameters as a Minkowskian Four-vector Stokes Parameters as a Minkowskian Four-vector

1997-07-20

arxiv.org/abs/physics/9707016v1

Physics

Optics

RevTeX, 22 pages, no figures, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.56.6065

It is noted that the Jones-matrix formalism for polarization optics is a six-parameter two-by-two representation of the Lorentz group. It is shown that the four independent Stokes parameters form a Minkowskian four-vector, just like the energy-momentum four-vector in special relativity. The optical filters are represented by four-by-four Lorentz-transformation matrices. This four-by-four formalism can deal with partial coherence described by the Stokes parameters. A four-by-four matrix formulation is given for decoherence effects on the Stokes parameters, and a possible experiment is proposed. It is shown also that this Lorentz-group formalism leads to optical filters with a symmetry property corresponding to that of two-dimensional Euclidean transformations.

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