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Black polarization sandwiches are square roots of zero

Black polarization sandwiches are square roots of zero
Black polarization sandwiches are square roots of zero
In the 2 x 2 matrices representing retarders and ideal polarizers, the eigenvectors are orthogonal. An example of the opposite case, where eigenvectors collapse onto one, is matrices M representing crystal plates sandwiched between a crossed polarizer and analyser. For these familiar combinations, M^2 = 0, so black sandwiches can be regarded as square roots of zero. Black sandwiches illustrate physics associated with degeneracies of non-Hermitian matrices.
1741-3567
S24-S25
Berry, M.V.
ab44fe7c-0c8c-4c7a-981f-50fe4a5bc6ad
Dennis, M.R.
ff55cf66-eb8b-4eb9-83eb-230c2f223d61
Berry, M.V.
ab44fe7c-0c8c-4c7a-981f-50fe4a5bc6ad
Dennis, M.R.
ff55cf66-eb8b-4eb9-83eb-230c2f223d61

Berry, M.V. and Dennis, M.R. (2004) Black polarization sandwiches are square roots of zero. Journal of Optics A: Pure and Applied Optics, 6 (55), S24-S25. (doi:10.1088/1464-4258/6/3/004).

Record type: Article

Abstract

In the 2 x 2 matrices representing retarders and ideal polarizers, the eigenvectors are orthogonal. An example of the opposite case, where eigenvectors collapse onto one, is matrices M representing crystal plates sandwiched between a crossed polarizer and analyser. For these familiar combinations, M^2 = 0, so black sandwiches can be regarded as square roots of zero. Black sandwiches illustrate physics associated with degeneracies of non-Hermitian matrices.

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Published date: 2004

Identifiers

Local EPrints ID: 29385
URI: https://eprints.soton.ac.uk/id/eprint/29385
ISSN: 1741-3567
PURE UUID: 2a05a08e-1258-4979-a180-ec68ea2ed512

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Date deposited: 11 May 2006
Last modified: 14 Aug 2019 17:49

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