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Interpretation of Mueller matrices based on polar decomposition
Abstract
We present an algorithm that decomposes a Mueller matrix into a sequence of three matrix factors: a diattenuator, followed by a retarder, then followed by a depolarizer. Those factors are unique except for singular Mueller matrices. Based on this decomposition, the diattenuation and the retardance of a Mueller matrix can be defined and computed. Thus this algorithm is useful for performing data reduction upon experimentally determined Mueller matrices.
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“Equation ͑21͒ shows that the degree of mixedness of the quantum state E is in a one-to-one correspondence with the classical depolarizing power ͓25͔ of the device represented by M.”
From Linear optics and quantum maps (2007) · cites this paper as [25]
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Metadata
- Authors
- Lu, S.-Y., & Chipman, R. A.
- Affiliations
- University of Alabama in Huntsville (US)
- Venue
- Journal of the Optical Society of America A
- Publisher
- Optica Publishing Group
- Published
- 1996-05-01
- Volume
- 13
- Issue
- 5
- Pages
- 1106
- ISSN
- 1084-7529 (ISSN-L)
- 1520-8532
- OpenAlex
- W2133785712
- Cited by
- 1,409
- References
- 10
- Citations by year
- 2026: 72 · 2025: 61 · 2024: 94 · 2023: 111 · 2022: 99 · 2021: 98 · 2020: 78 · 2019: 97 · 2018: 76 · 2017: 66 · 2016: 83 · 2015: 52 · 2014: 53 · 2013: 54 · 2012: 53
- FWCI
- 2.86
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of the Optical Society of America A (publishedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › 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, diattenuation, phase retardation, depolarization, polarization optics, matrix factorization, data reduction
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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