Mueller Matrix Associated with an Arbitrary 4×4 Real Matrix. The Effective Component of a Mueller Matrix
Due to the limited accuracy of experimental data, Mueller polarimetry can produce real 4×4 matrices that fail to meet required covariance or passivity conditions. A general and simple procedure to convert any real 4×4 matrix into a valid Mueller matrix by adding a portion of polarimetric white noise...
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| Format: | Article |
| Language: | English |
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MDPI AG
2025-03-01
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| Series: | Photonics |
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| Online Access: | https://www.mdpi.com/2304-6732/12/3/230 |
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| author | José J. Gil Ignacio San José |
| author_facet | José J. Gil Ignacio San José |
| author_sort | José J. Gil |
| collection | DOAJ |
| description | Due to the limited accuracy of experimental data, Mueller polarimetry can produce real 4×4 matrices that fail to meet required covariance or passivity conditions. A general and simple procedure to convert any real 4×4 matrix into a valid Mueller matrix by adding a portion of polarimetric white noise is presented. This approach provides deeper insight into the structure of Mueller matrices and has a subtle relation to the effective component of the Mueller matrix, which is defined through the subtraction of the fully random component of the characteristic decomposition. Up to a scale coefficient determined by the third index of polarimetric purity of the original Mueller matrix, the effective component retains complete information on the polarimetric anisotropies. |
| format | Article |
| id | doaj-art-68c43d40c8a44552af36134ed86dc510 |
| institution | Kabale University |
| issn | 2304-6732 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Photonics |
| spelling | doaj-art-68c43d40c8a44552af36134ed86dc5102025-08-20T03:43:14ZengMDPI AGPhotonics2304-67322025-03-0112323010.3390/photonics12030230Mueller Matrix Associated with an Arbitrary 4×4 Real Matrix. The Effective Component of a Mueller MatrixJosé J. Gil0Ignacio San José1Photonic Technologies Group, University of Zaragoza, Pedro Cerbuna 12, 50009 Zaragoza, SpainInstituto Aragonés de Estadística, Gobierno de Aragón, Bernardino Ramazzini 5, 50015 Zaragoza, SpainDue to the limited accuracy of experimental data, Mueller polarimetry can produce real 4×4 matrices that fail to meet required covariance or passivity conditions. A general and simple procedure to convert any real 4×4 matrix into a valid Mueller matrix by adding a portion of polarimetric white noise is presented. This approach provides deeper insight into the structure of Mueller matrices and has a subtle relation to the effective component of the Mueller matrix, which is defined through the subtraction of the fully random component of the characteristic decomposition. Up to a scale coefficient determined by the third index of polarimetric purity of the original Mueller matrix, the effective component retains complete information on the polarimetric anisotropies.https://www.mdpi.com/2304-6732/12/3/230Mueller matricesMueller polarimetryMueller filtering |
| spellingShingle | José J. Gil Ignacio San José Mueller Matrix Associated with an Arbitrary 4×4 Real Matrix. The Effective Component of a Mueller Matrix Photonics Mueller matrices Mueller polarimetry Mueller filtering |
| title | Mueller Matrix Associated with an Arbitrary 4×4 Real Matrix. The Effective Component of a Mueller Matrix |
| title_full | Mueller Matrix Associated with an Arbitrary 4×4 Real Matrix. The Effective Component of a Mueller Matrix |
| title_fullStr | Mueller Matrix Associated with an Arbitrary 4×4 Real Matrix. The Effective Component of a Mueller Matrix |
| title_full_unstemmed | Mueller Matrix Associated with an Arbitrary 4×4 Real Matrix. The Effective Component of a Mueller Matrix |
| title_short | Mueller Matrix Associated with an Arbitrary 4×4 Real Matrix. The Effective Component of a Mueller Matrix |
| title_sort | mueller matrix associated with an arbitrary 4 4 real matrix the effective component of a mueller matrix |
| topic | Mueller matrices Mueller polarimetry Mueller filtering |
| url | https://www.mdpi.com/2304-6732/12/3/230 |
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