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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The degree of mixedness of the quantum state ρ_E is in a one-to-one correspondence with the classical depolarizing power of the device represented by M.
“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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Measurements of the corneal birefringence with a liquid-crystal imaging polariscope
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Alali, S., Gribble, A., & Vitkin, I. A. (2016) · Optics Letters · doi:10.1364/ol.41.001038 · Cited by 70 · see citing works
Liu, T., Sun, T. S., He, H., Liu, S., Dong, Y., Wu, J., & Ma, H. (2018) · Biomedical Optics Express · doi:10.1364/boe.9.004413 · Cited by 70 · see citing works
- 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 › 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, diattenuation, phase retardation, depolarization, polarization optics, matrix factorization, data reduction
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