Characterization of porous media based on the polarimetric matrix models

Sergey Savenkov; Alexander Priezzhev; Yevgen Oberemok; Ivan Kolomiets; Pertti Silfsten; Tuomas Ervasti; Jarkko Ketolainen; Kai-Erik Peiponen

doi:10.18287/JBPE17.03.010306

Authors

Sergey Savenkov Faculty of Radio Physics, Electronics and Computer Systems, Taras Shevchenko National University of Kyiv, Ukraine
Alexander Priezzhev Department of Physics and International Laser Center, Lomonosov Moscow State University, Russia
Yevgen Oberemok Faculty of Radio Physics, Electronics and Computer Systems, Taras Shevchenko National University of Kyiv, Ukraine
Ivan Kolomiets Faculty of Radio Physics, Electronics and Computer Systems, Taras Shevchenko National University of Kyiv, Ukraine
Pertti Silfsten Department of Physics and Mathematics, University of Eastern Finland, Joensuu, Finland
Tuomas Ervasti School of Pharmacy, Promis Centre, University of Eastern Finland, Kuopio, Finland
Jarkko Ketolainen School of Pharmacy, Promis Centre, University of Eastern Finland, Kuopio, Finland
Kai-Erik Peiponen Department of Physics and Mathematics, University of Eastern Finland, Joensuu, Finland

DOI:

https://doi.org/10.18287/JBPE17.03.010306

Keywords:

Mueller matrix, porosity, depolarization, linear birefringence, circular birefringence

Abstract

In this paper, we measured the Mueller matrices of the samples with different porosity in the visible range (the wavelength of the input radiation 632.8 nm ) for the observation angles from 0 5 to 0 85 . The samples under study were the tablets made of microcrystalline cellulose with the known values of porosity. To characterize the depolarizing properties of the studied samples we used the matrix models of depolarizing medium, in which the Mueller matrices describing depolarization have different structure and include different numbers of parameters. It is shown that Mueller polarimetry ensures at least 5% accuracy of porosity identification for this class of objects at the wavelength 632.8 nm.

Author Biography

Sergey Savenkov, Faculty of Radio Physics, Electronics and Computer Systems, Taras Shevchenko National University of Kyiv, Ukraine

Faculty of Radio Physics, Electronics and Computer Systems

References

L. V. Wang, G. L. Cote, and S. L. Jacques, “Special Section Guest Editorial,” J. Biomed. Opt. 7(3), 278 (2002).

V. V. Tuchin, L. V. Wang, and D. A. Zimnyakov, Optical Polarisation in Biomedical Applications, Springer, Berlin (2006).

N. Ghosh, and I. A. Vitkin, “Tissue polarimetry: concepts, challenges, applications, and outlook,” J. Biomed. Opt. 16(11), 110801 (2011).

S. N. Savenkov, “Mueller Matrix Polarimetry in Material Science, Biomedical, and Environmental Applications,” Handbook of Coherent-Domain Optical Methods, V. V. Tuchin (ed.), Springer, New York, 1175-1253 (2013).

J. J. Gil, and E. Bernabeu, “A depolarisation criterion in Mueller matrices,” Opt. Acta 32(3), 259–261 (1985).

R. Espinosa-Luna, and E. Bernabeu, “On the Q(M) depolarisation metric,” Opt. Commun. 277(2), 256–258 (2007).

S. R. Cloude, and E. Pottier, “Concept of polarisation entropy in optical scattering,” Opt. Eng. 34(6), 1599-1610 (1995).

R. Ossikovski, “Alternative depolarisation criteria for Mueller matrices,” J. Opt. Soc. Am. A 27(4), 808-814 (2010).

R. A. Chipman, “Depolarization index and the average degree of polarization,” Appl. Opt. 44(13), 2490–2495 (2005).

M. F. G. Wood, N. Ghosh, E. H. Moriyama, B. C. Wilson, and I. A. Vitkin, “Proof-of-principle demonstration of a Mueller matrix decomposition method for polarised light tissue characterization in vivo,” J. Biomed. Opt. 14(1), 014029 (2009).

N. Ghosh, M. F. G. Wood, S.-H. Li, R. D. Weisel, B. C. Wilson, R.-K. Li, and I. A. Vitkin, “Mueller matrix decomposition for polarised light assessment of biological tissues,” J. Biophoton. 2(3), 145-146 (2009).

N. Ghosh, M. F. G. Wood, and I. A. Vitkin, “Mueller matrix decomposition for extraction of individual polarisation parameters from complex turbid media exhibiting multiple scattering, optical activity, and linear birefringence,” J. Biomed. Opt. 13(4), 044036 (2008).

S. Y. Lu, and R. A. Chipman, “Interpretation of Mueller matrices based on polar decomposition,” J. Opt. Soc. Am. A 13(5), 1106–1113 (1996).

P. Silfsten, V. Kontturi, T. Ervasti, J. Ketolainen, and K.-E. Peiponen, “Kramers–Kronig analysis on the real refractive index of porous media in the terahertz spectral range,” Opt. Lett. 36(5), 778–780 (2011).

C. F. Bohren, and E. R. Huffman, Absorption and scattering of light by small particles, Wiley, New York (1983).

M. I. Mishchenko, J. W. Hovenier, and L. D. Travis, Light scattering by nonspherical particles, Academic Press, San Diego (2000).

A. A. Kokhanovsky, Light Scattering Media Optics: Problems and Solutions, Praxis Publishing, Chichester (2001).

M. I. Mishchenko, and L. D. Travis, “Polarisation and depolarisation of light,” in Light Scattering from Microstructures, F. Moreno, and F. González (eds.), Springer-Verlag, Berlin, 159-175 (2000).

K. Kim, L. Mandel, and E. Wolf, “Relationship between Jones and Mueller matrices for random media,” J. Opt. Soc. Am. A 4(3), 433-437 (1987).

S. N. Savenkov, “Mueller-matrix characterization of biological tissues,” in Polarimetric Detection, Characterization and Remote Sensing NATO Science for Peace and Security Series C: Environmental Security, Springer, Netherlands, 437-472 (2011).

M. Williams, “Depolarisation and cross polarisation in ellipsometry of rough surfaces,” Appl. Opt. 25(20), 3616-3622 (1986).

R. Ossikovski, “Analysis of depolarising Mueller matrices through a symmetric decomposition,” J. Opt. Soc. Am. A. 26(5), 1109-1118 (2009).

S. N. Savenkov, “Optimization and structuring of the instrument matrix for polarimetric measurements,” Optical Engineering 41(5), 965-972 (2002).