Fast Algorithm for Physical Realizability Check of Experimental Mueller Matrices

Tatiana Novikova; Alexey Ovchinnikov; Gleb Pogudin; Jessica Ramella-Roman

doi:10.1117/12.3097855

Fast Algorithm for Physical Realizability Check of Experimental Mueller Matrices

Tatiana Novikova
, Alexey Ovchinnikov
, Gleb Pogudin
, Jessica Ramella-Roman

Institut polytechnique de Paris
Florida International University
Queens College, City University of New York
The Graduate Center
Florida International University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Mueller matrix is physically realizable when the associated coherency matrix is positive semi-definite (PSF). We found that calculating coefficients of characteristic polynomial is the fasted algorithm for checking matrix PSF, compatible with video-rate data streaming.

Original language	English
Title of host publication	Translational Biophotonics
Subtitle of host publication	Diagnostics and Therapeutics IV
Editors	Zhiwei Huang, Lothar D. Lilge
Publisher	SPIE
ISBN (Electronic)	9781510698055
DOIs	https://doi.org/10.1117/12.3097855
Publication status	Published - 18 Dec 2025
Event	4th Translational Biophotonics: Diagnostics and Therapeutics - Munich, Germany Duration: 22 Jun 2025 → 26 Jun 2025

Publication series

Name	Progress in Biomedical Optics and Imaging - Proceedings of SPIE
Volume	13934
ISSN (Print)	1605-7422

Conference

Conference	4th Translational Biophotonics: Diagnostics and Therapeutics
Country/Territory	Germany
City	Munich
Period	22/06/25 → 26/06/25

Access to Document

10.1117/12.3097855

Cite this

Novikova, T., Ovchinnikov, A., Pogudin, G., & Ramella-Roman, J. (2025). Fast Algorithm for Physical Realizability Check of Experimental Mueller Matrices. In Z. Huang, & L. D. Lilge (Eds.), Translational Biophotonics: Diagnostics and Therapeutics IV Article 139341H (Progress in Biomedical Optics and Imaging - Proceedings of SPIE; Vol. 13934). SPIE. https://doi.org/10.1117/12.3097855

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title = "Fast Algorithm for Physical Realizability Check of Experimental Mueller Matrices",

abstract = "Mueller matrix is physically realizable when the associated coherency matrix is positive semi-definite (PSF). We found that calculating coefficients of characteristic polynomial is the fasted algorithm for checking matrix PSF, compatible with video-rate data streaming.",

author = "Tatiana Novikova and Alexey Ovchinnikov and Gleb Pogudin and Jessica Ramella-Roman",

year = "2025",

month = dec,

day = "18",

doi = "10.1117/12.3097855",

language = "English",

series = "Progress in Biomedical Optics and Imaging - Proceedings of SPIE",

publisher = "SPIE",

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booktitle = "Translational Biophotonics",

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Novikova, T, Ovchinnikov, A, Pogudin, G & Ramella-Roman, J 2025, Fast Algorithm for Physical Realizability Check of Experimental Mueller Matrices. in Z Huang & LD Lilge (eds), Translational Biophotonics: Diagnostics and Therapeutics IV., 139341H, Progress in Biomedical Optics and Imaging - Proceedings of SPIE, vol. 13934, SPIE, 4th Translational Biophotonics: Diagnostics and Therapeutics, Munich, Germany, 22/06/25. https://doi.org/10.1117/12.3097855

Fast Algorithm for Physical Realizability Check of Experimental Mueller Matrices. / Novikova, Tatiana; Ovchinnikov, Alexey; Pogudin, Gleb et al.
Translational Biophotonics: Diagnostics and Therapeutics IV. ed. / Zhiwei Huang; Lothar D. Lilge. SPIE, 2025. 139341H (Progress in Biomedical Optics and Imaging - Proceedings of SPIE; Vol. 13934).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Fast Algorithm for Physical Realizability Check of Experimental Mueller Matrices

AU - Novikova, Tatiana

AU - Ovchinnikov, Alexey

AU - Pogudin, Gleb

AU - Ramella-Roman, Jessica

PY - 2025/12/18

Y1 - 2025/12/18

N2 - Mueller matrix is physically realizable when the associated coherency matrix is positive semi-definite (PSF). We found that calculating coefficients of characteristic polynomial is the fasted algorithm for checking matrix PSF, compatible with video-rate data streaming.

AB - Mueller matrix is physically realizable when the associated coherency matrix is positive semi-definite (PSF). We found that calculating coefficients of characteristic polynomial is the fasted algorithm for checking matrix PSF, compatible with video-rate data streaming.

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M3 - Conference contribution

AN - SCOPUS:105025976132

T3 - Progress in Biomedical Optics and Imaging - Proceedings of SPIE

BT - Translational Biophotonics

A2 - Huang, Zhiwei

A2 - Lilge, Lothar D.

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T2 - 4th Translational Biophotonics: Diagnostics and Therapeutics

Y2 - 22 June 2025 through 26 June 2025

ER -

Fast Algorithm for Physical Realizability Check of Experimental Mueller Matrices

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