The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
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]
Citations
Cites
Group theory and polarisation algebra
Cloude, S. R. (1986) · Optik · Cited by 265
Homogeneous and inhomogeneous Jones matrices
Lu, S.-Y., & Chipman, R. A. (1994) · Journal of the Optical Society of America A · doi:10.1364/josaa.11.000766 · Cited by 183
Self-citationNecessary and sufficient conditions for a Mueller matrix to be derivable from a Jones matrix
Anderson, D. G. M., & Barakat, R. G. (1994) · Journal of the Optical Society of America A · doi:10.1364/josaa.11.002305 · Cited by 133
Polarization Analysis Of Optical Systems
Chipman, R. A. (1989) · Optical Engineering · doi:10.1117/12.7976914 · Cited by 128
Self-citationGil, J. J., & Bernabéu, E. (1986) · Optik · Cited by 112
On the Deterministic and Non-deterministic Mueller Matrix
Xing, Z.-F. (1992) · Journal of Modern Optics · doi:10.1080/09500349214550471 · Cited by 98
An eigenvalue criterion for matrices transforming Stokes parameters
van der Mee, C. V. M. (1993) · Journal of Mathematical Physics · doi:10.1063/1.530343 · Cited by 84
Conditions for the Physical Realizability of Polarization Matrices Characterizing Passive Systems
Barakat, R. G. (1987) · Journal of Modern Optics · doi:10.1080/09500348714551471 · Cited by 78
Normal form for Mueller Matrices in Polarization Optics
Sridhar, R., & Simon, R. (1994) · Journal of Modern Optics · doi:10.1080/09500349414551811 · Cited by 73
Nondepolarizing systems and degree of polarization
Simon, R. (1990) · Optics Communications · doi:10.1016/0030-4018(90)90123-b · Cited by 60
Research works printed but not linked: 4
- Cloude, 1986, Optik (Stuttgart), 75, 26
- Gil, 1987, Optik (Stuttgart), 76, 67
- Chipman, 1989, Opt. Eng., 28, 90
- de Lang, 1964, Philips Res. Rep., 19, 429
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Items 1,001–1,001 of 1,001
Measuring Mueller matrix of an arbitrary optical element with a fixed set of polarization optics
Reddy, S. G., Prabhakar, S., Aadhi, A., Kumar, A., Shah, M., Singh, R. P., & Simon, R. (2012) · arXiv
“From the Mueller matrix, we can obtain the information about the retardation, the diattenuation and the depolarization of light after passing through any optical element [1, 2].”
Method
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
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