3D Mueller-matrix-based azimuthal invariant tomography of polycrystalline structure within benign and malignant soft-tissue tumours

Motahareh Peyvasteh, Liliya Tryfonyuk, Vladimir Ushenko, Anastasia-Vira Syvokorovskaya, Alexander Dubolazov, Oleg Vanchulyak, Alexander Ushenko, Yuri Ushenko, Mykhailo Gorsky, Maxim Sidor, Yuriy Tomka, Iryna Soltys, Alexander Bykov, Igor Meglinski*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We introduce a method of azimuthally invariant 3D Mueller-matrix (MM) layer-by-layer mapping of the phase and amplitude parameters of anisotropy of the partially depolarizing layers of benign (adenoma) and malignant (carcinoma) prostate tumours. The technique is based on the analysis of spatial variations of Mueller matrix invariant (MMI) of histological sections of benign (adenoma) and malignant (carcinoma) tissue samples. The phase dependence of magnitudes of the first-to-fourth order statistical moments is applied to characterize 3D spatial distributions of MMI of linear and circular birefringence and dichroism of prostate tumours. The high order statistical moments and phase sections of the optimal differentiation of the polycrystalline structure of tissue samples are revealed. The obtained results are compared with the results obtained by conventional methods utilizing polarized light, including 2D and 3D Mueller matrix imaging.

Original languageEnglish
Article number115606
JournalLaser Physics Letters
Issue number11
Early online date23 Oct 2020
Publication statusPublished - Nov 2020

Bibliographical note

Original content from this work may be used under the terms of the Creative Commons Attribution 3.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

Funding: This project has received funding from the ATTRACT project funded by the EC under Grant Agreement 777222,
Academy of Finland (Grant No. 325097), and INFOTECH
strategic funding and National Research Foundation of
Ukraine Fund Program. IM also acknowledges partial support from MEPhI Academic Excellence Project (Contract No.
02.a03.21.0005), Russian Science Foundation (Project 19-72-
30012), the National Research Tomsk State University Academic D.I. Mendeleev Fund Program


  • Azimuthal invariant
  • Mueller matrix
  • Optical anisotropy
  • Polarized light
  • Polycrystalline structure
  • Soft-tissue tumours


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