Use of Dirac matrices in polarization optics

Tahir, Mohammad; Bhattacharya, Kaushik; Chakraborty, Ajay

doi:10.1016/j.ijleo.2009.05.001

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Four-dimensional Signal Space Description1

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“…It should be mentioned that the Dirac matrices have been used previously in connection with polarization optics. The recent paper by Tahir et al [31], used the definition (B1) of the Dirac matrices to express the coherency matrices. However the 4d rotation description for polarization transformation that we pursue here was not discussed.…”

Section: Four-dimensional Signal Space Descriptionmentioning

confidence: 99%

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The connection between polarization calculus and four-dimensional rotations

Karlsson¹

2013

Preprint

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Section: Four-dimensional Signal Space Descriptionmentioning

confidence: 99%

“…Note that the lower right 3 × 3 subset form a multiplication table, since D 0k Dj0 = D jk . The same table is given in[31], and (with redefined indices) in[22, Table 4.1].…”

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confidence: 99%

The connection between polarization calculus and four-dimensional rotations

Karlsson¹

2013

Preprint

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Compensation of rotation effect in a combination of retarders

Saha¹,

Bhattacharya

Chakraborty

2012

Appl. Opt.

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In a cascaded system comprising a combination of oblique retarders, the effect of optical rotation is observed in addition to the overall retardation. This shows that the combined system does not behave as a pure oblique retarder. Analyzing such a general system using Pauli Spin matrices, it is shown that the effect of optical rotation may be completely annulled through the use of a suitably oriented retarder at the output of the cascaded system. The analysis assumes monochromaticity of the illuminating light beam.

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Use of Dirac matrices in polarization optics

Cited by 2 publications

References 8 publications

The connection between polarization calculus and four-dimensional rotations

The connection between polarization calculus and four-dimensional rotations

Compensation of rotation effect in a combination of retarders

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