Influence of the order of diattenuator, retarder, and polarizer in polar decomposition of Mueller matrices
Abstract
Polar decomposition consists of representing an arbitrary Mueller matrix with a product of three simpler matrices, but, since these matrices do not commute, the result depends on the order in which they are multiplied. We show that the six possible decompositions can be classified into two families and that one of these families always leads to physical elementary matrices, whereas the other does not.
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Birefringent scatterers always produce generalized Werner states of the form ρ_GW = V ρ_W V†, where ρ_W denotes ordinary Werner states and V represents an arbitrary unitary operation.
“͑a͒ Birefringent scatterers always produce generalized Werner states of the form GW = V I W V † I, where W denotes ordinary Werner states ͓42͔ and V represents an arbitrary unitary operation.”
From Linear optics and quantum maps (2007) · cites this paper as [42]
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References 4 · Cited by 117
- Authors
- Morio, J., & Goudail, F.
- Affiliations
- Institut Fresnel (FR)
- Venue
- Optics Letters
- Publisher
- Optica Publishing Group
- Published
- 2004-10-01
- Volume
- 29
- Issue
- 19
- Pages
- 2234
- ISSN
- 0146-9592 (ISSN-L)
- 1539-4794
- OpenAlex
- W2106101672
- Cited by
- 117
- References
- 4
- Citations by year
- 2026: 8 · 2025: 3 · 2024: 4 · 2023: 6 · 2022: 6 · 2021: 6 · 2020: 8 · 2019: 4 · 2018: 5 · 2016: 6 · 2015: 4 · 2014: 7 · 2013: 7 · 2012: 11
- FWCI
- 1.55
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Optics Letters (publishedVersion)
- PubMed (publishedVersion)
- HAL (submittedVersion)
- Topics
- Physical Sciences › Engineering › Biomedical Engineering › Optical Polarization and Ellipsometry
- Physical Sciences › Materials Science › Electronic, Optical and Magnetic Materials › Metamaterials and Metasurfaces Applications
- Physical Sciences › Chemistry › Spectroscopy › Molecular spectroscopy and chirality
- Keywords
- Mueller matrix, polar decomposition, retarders, polarizers, non-commutativity, polarization optics
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