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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editors: Andrew Dunn and Anthony Durkin
  • Vol. 7, Iss. 10 — Oct. 5, 2012
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Polarization studies for backscattering of RBC suspensions based on Mueller matrix decomposition

Xuezhen Wang, Jiancheng Lai, and Zhenhua Li  »View Author Affiliations


Optics Express, Vol. 20, Issue 18, pp. 20771-20782 (2012)
http://dx.doi.org/10.1364/OE.20.020771


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Abstract

Tissue polarimetry has demonstrated its great potential in biomedical field presently. In this study, the polarization characteristics of red blood cell (RBC) suspensions in a back-detection geometry have been investigated with experimental measurements and Monte Carlo (MC) simulation based on Mueller matrix decomposition. It is revealed that the simulated dependence of degree of polarization (DOP) and diattenuation on the distance away from incident point is qualitatively consistent with experimental result. DOP and diattenuation decay with increasing radial distance except in the region adjacent to the incident point. Further analysis shows that the number of scattering events and the scattering angle simultaneously influence the trends of DOP and diattenuation curves in the central region.

© 2012 OSA

1. Introduction

Polarimetry has been shown to be effective for analyzing suspensions in fields as varied as analysis of material, biology, medicine, etc [1

1. F. Boulvert, G. Le Brun, B. Le Jeune, J. Cariou, and L. Martin, “Decomposition algorithm of an experimental Mueller matrix,” Opt. Commun. 282(5), 692–704 (2009). [CrossRef]

]. As the optical fingerprint, Mueller matrix provides complete information about the polarization properties of an optical system [2

2. M. H. Smith, “Interpreting Mueller matrix images of tissues,” Proc. SPIE 4257, 82–89 (2001). [CrossRef]

]. Mueller matrix of turbid media has been studied by many researchers [3

3. J. L. Pezzaniti and R. A. Chipman, “Mueller matrix imaging polarimetry,” Opt. Eng. 34(6), 1558–1568 (1995). [CrossRef]

8

8. M. R. Antonelli, A. Pierangelo, T. Novikova, P. Validire, A. Benali, B. Gayet, and A. De Martino, “Mueller matrix imaging of human colon tissue for cancer diagnostics: how Monte Carlo modeling can help in the interpretation of experimental data,” Opt. Express 18(10), 10200–10208 (2010). [CrossRef] [PubMed]

]. However, the meaning of 16-element Mueller matrix is not so straightforward. Recently, increasing attentions have been devoted to polar decomposition to extract these polarization characteristics from the full Mueller matrix measurements [1

1. F. Boulvert, G. Le Brun, B. Le Jeune, J. Cariou, and L. Martin, “Decomposition algorithm of an experimental Mueller matrix,” Opt. Commun. 282(5), 692–704 (2009). [CrossRef]

, 9

9. X. Li and G. Yao, “Mueller matrix decomposition of diffuse reflectance imaging in skeletal muscle,” Appl. Opt. 48(14), 2625–2631 (2009). [CrossRef] [PubMed]

11

11. 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 polarized light assessment of biological tissues,” J Biophotonics 2(3), 145–156 (2009). [CrossRef] [PubMed]

]. Tissue polarimetry, based on Mueller matrix decomposition, has demonstrated great potential in biomedical field presently. For instance, the method of Mueller matrix decomposition has been applied to image precancer in tissue [9

9. X. Li and G. Yao, “Mueller matrix decomposition of diffuse reflectance imaging in skeletal muscle,” Appl. Opt. 48(14), 2625–2631 (2009). [CrossRef] [PubMed]

, 10

10. J. Chung, W. Jung, M. J. Hammer-Wilson, P. Wilder-Smith, and Z. Chen, “Use of polar decomposition for the diagnosis of oral precancer,” Appl. Opt. 46(15), 3038–3045 (2007). [CrossRef] [PubMed]

]. Another potential application is noninvasive glucose monitoring in diabetic patients. Polarimetry, based on the chiral nature of the glucose molecules and their associated optical activity, is promising as it is potentially specific to glucose. Multiple scattering is a universal phenomenon in tissue. It not only causes extensive depolarization, but also alters the polarization state of the residual polarization preserving signal. Depolarization caused by multiple scattering is the most prominent polarimetry effect in biological tissues. Birefringence is the other important polarimetry property stemming from the anisotropic organized nature of many tissues. Optical rotation in tissue arises from the presence of asymmetric optically active chiral molecules like glucose, proteins, and lipids. A diattenuator has an intensity transmission that depends on the incident polarization state of light [12

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

]. Detailed investigation of these polarization characteristics is necessary to achieve some clinical goals via tissue polarimetry.

Analysis of polarization characteristics in backscattering plane of diffusely scattering sample has not been reported. This study is based on Mueller matrix decomposition to extract polarization characteristics of RBC suspensions. Study of polarization characteristics on backscattering surface of turbid media is also theoretically valuable in the field of tissue polarimetry.

In this study, we choose RBC suspensions as sample because it is clinically meaningful. Mueller matrices of RBC suspensions with different concentrations at backscattering surface are experimentally measured. To validate the experimental results, backscattering Mueller matrices of RBC suspensions are simulated by polarization-sensitive Monte Carlo method. To match experiments, the results for an infinitely narrow photon beam are converted to responses for Gaussian beams using Green’s convolution. Polar decomposition is applied to the backscattering Mueller matrices of RBC suspensions to extract intrinsic polarizing properties [13

13. 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). [CrossRef]

]. In this paper, we discussed degree of polarization (DOP) and diattenuation in the backscattering plane of RBC suspensions. And some specific properties about DOP and diattenuation are found. The findings will be helpful for diagnosis of some blood diseases with the abnormal size, number and refractive index of RBCs.

2. Experiment

The experimental setup is depicted in Fig. 1
Fig. 1 Schematic diagram of the experimental setup.HW1 is a quartz half-wavelength plate, QW1 is a quartz quarter-wavelength plate,QW2 is a mica zero-order quarter-wavelength plate, A is a linear analyzer, L is a imaging lens and CCD is a imaging camera
. The light source was a He-Ne laser with wavelength of 632.8 nm and beam diameter of 2 mm. The light beam with linear polarization was incident on the sample with oblique angle 10 deg and collected by a CCD in normal direction. The arrangement can effectively avoid glare and does not introduce more optical elements.

In order to get 16 elements of Mueller matrix, at least 16 kinds of intensity measurements corresponding to 16 different combinations of polarizer and analyzer have to be performed. Here, however, we performed 36 measurements to remove the influence of background light for greater accuracy [14

14. M. Itoh, M. Yamanari, Y. Yasuno, and T. Yatagai, “Polarization characteristics of multiple backscattering in human blood cell suspensions,” Opt. Quantum Electron. 37(13-15), 1277–1285 (2005). [CrossRef]

]. It was achieved by rotating polarizing block (composed of HW1 and QW1) and analyzing block (composed of QW2 and A) at proper angles.

The components of the Mueller matrix can be calculated by the combination of six polarization state measurements as H,V,P,Q,R and L.H is linear horizontal polarization, V is linear vertical polarization,P is linear 45 deg polarization,Q is linear −45 deg polarization,R and L are circular right-handed and left-handed polarizations, respectively. The Mueller matrix can be computed by the following formula:

M=[m11m12m13m14m21m22m23m24m31m32m33m34m41m42m43m44]=14[HH+HV+VH+VVHH+HVVHVVPH+PVQHQVRH+RVLHLVHHHV+VHVVHHHVVH+VVPH+QVQHPVRH+LVLHRVHPHQ+VPVQHP+VQVPHQPP+QQQPPQRP+LQLPRQHRHL+VRVLVL+HRHLVRQL+PRPLQRLL+RRRLLR]
(1)

In Eq. (1), each element of Mueller matrix is calculated from four measurements at different incident and acceptance polarization states. For example, HV means that the linear vertical polarization component is analyzed with the incidence of linear horizontal polarized light.

In order to measure the spatially distributed Mueller matrices at backscattering surface, QW2 and A with 25 mm optical apertures were used. The distance from upper surface of the sample to the CCD was adjusted to be 25 cm to guarantee the object-image relationship between the backscattering surface and the CCD. The processed area was about 4×4 cm2. The receiving angle was about 3 deg in order to make QW2 and A work as expected.

Blood of New Zealand rabbit was adopted as sample, which was supplied by Jiangsu Academy of Agricultural Sciences in China. Because the shape, average size and number of RBCs in unit volume of blood of New Zealand rabbit are close to the counterparts of human being blood. RBCs were centrifugated from blood plasma. And the RBCs were mixed with physiological saline with different weight ratios to make a range of RBC suspensions.

3. Theory

3.1 Polarization-sensitive Monte Carlo simulation

The method of polarization-sensitive Monte Carlo (PSMC) simulation has been discussed extensively by several authors [15

15. X. Wang, L. V. Wang, C. W. Sun, and C. C. Yang, “Polarized light propagation through scattering media: time-resolved Monte Carlo simulations and experiments,” J. Biomed. Opt. 8(4), 608–617 (2003). [CrossRef] [PubMed]

19]. The geometry of multiple scattering events in a polystyrene-microsphere solution is shown in Fig. 2
Fig. 2 The geometry of multiple scattering events in a slab of turbid medium
. A narrow pencil beam propagates downward along the z-axis into a plane-parallel slab of the scattering medium with a thickness of L. The incident point is (0, 0, 0) in the laboratory coordinate system (x, y, z). Photon packets are scattered in the medium by microspheres before exiting the upper or lower surface of the medium. At each scattering event, the scattering angles of the photon packets are statistically selected. During propagation, the polarization evolutions of photon packets are traced through the Stokes-Mueller formalism. The scattering histories of a large number of such photon packets are tracked as they propagate through the medium and are summed to yield the output Stokes vector. The polarization state of the incident light is changed sequentially to horizontal (Stokes vector [1100]T), vertical ([1100]T), + 45°([1010]T) linear polarization, and circular polarization ([1001]T). The Stokes vector [IQUV]T of emergent light are recorded for each given incident polarization state. The Mueller matrix is generated by performing simple algebraic manipulations using the recorded output Stokes parameters for each input state [20

20. N. Ghosh, M. F. G. Wood, and I. A. Vitkin, “Polarimetry in turbid, birefringent, optically active media: A Monte Carlo study of Mueller matrix decomposition in the backscattering geometry,” J. Appl. Phys. 105(10), 102023 (2009). [CrossRef]

].

In traditional PSMC, the scattering angle and the azimuthal angle are chosen by a “rejection method”. But this method is extraordinarily time-consuming especially for RBC suspensions with high scattering coefficients (for RBC suspension with concentration of 10%, the scattering coefficient is up to 800 cm−1). In our implementation, the Henyey-Greenstein (HG) phase function was used for sampling the scattering angle, and azimuthal angle was chosen uniformly between 0 and 2π as conventional Monte Carlo algorithm. It is reasonable because HG phase function is more suitable than Mie phase function for RBC due to the non-spherical shape of RBC [21

21. J. Q. Lu, P. Yang, and X. H. Hu, “Simulations of light scattering from a biconcave red blood cell using the finite-difference time-domain method,” J. Biomed. Opt. 10(2), 024022 (2005). [CrossRef] [PubMed]

]. The optical parameters were computed using Mie theory for a set of input parameters (diameter of RBC, refractive index of physiological saline, refractive index of the surrounding medium and wavelength of light). In the MC simulation, the receiving area, the area grid and the receiving angle in the backscattering plane were the same as those in the experiment. To have a satisfactory statistics, all the simulations were run with 5 × 107 input photon packets.

3.2 Polar decomposition of the Mueller matrices

Polar decomposition of Mueller matrix is a robust mathematical tool for interpretation of the polarization characteristics of any medium. The method decomposes an arbitrary Mueller matrix M into the product of three elementary matrices representing a depolarizer, a retarder and a diattenuator.
M=MΔMRMD
(5)
MΔ accounts for the depolarizing effects of the medium, MR describes the effects of linear birefringence and optical activity and MD indicates the effects of linear and circular diattenuations.

The process and validity of polar decomposition were first demonstrated by Lu and Chipman in clear media [13

13. 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). [CrossRef]

]. It is important to note that because the multiplication of the Mueller matrices is not commutative, the results of the decomposition depend upon the order in which the three elementary matrices are multiplied. It has been shown previously that the six possible decompositions can be classified into two families, depending upon the order in which the depolarization and the diattenuator matrices are multiplied. Because the family, the diattenuator matrix coming ahead of the depolarizer matrix, always leads to a physically realizable Mueller matrix [22

22. J. Morio and F. Goudail, “Influence of the order of diattenuator, retarder, and polarizer in polar decomposition of Mueller matrices,” Opt. Lett. 29(19), 2234–2236 (2004). [CrossRef] [PubMed]

], this order of decomposition is adopted in the present study.

The decomposition process can be referred to the Ref [13

13. 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). [CrossRef]

]. If MΔ, MR and MD are known, degree of polarization is defined as
DOP=MΔ(2,2)+MΔ(3,3)+MΔ(4,4)3
(6)
MΔ(2,2) and MΔ(3,3) are depolarization coefficients for incident horizontal (or vertical) and 45 deg (or −45 deg) linearly polarized light, and MΔ(4,4) is the depolarization coefficients for circularly polarized incident light.

MR can be expressed as a combination of a matrix for a linear retarder and a circular retarder [20

20. N. Ghosh, M. F. G. Wood, and I. A. Vitkin, “Polarimetry in turbid, birefringent, optically active media: A Monte Carlo study of Mueller matrix decomposition in the backscattering geometry,” J. Appl. Phys. 105(10), 102023 (2009). [CrossRef]

,23

23. S. Manhas, M. K. Swami, P. Buddhiwant, N. Ghosh, P. K. Gupta, and J. Singh, “Mueller matrix approach for determination of optical rotation in chiral turbid media in backscattering geometry,” Opt. Express 14(1), 190–202 (2006). [CrossRef] [PubMed]

]. The values for linear retardance δ and optical rotation ψ can be determined from the elements of the matrix MR as

δ=cos1{[(MR(2,2)+MR(3,3))2+(MR(3,2)MR(2,3))2]1/21}
(7)
ψ=12tan1[MR(3,2)MR(2,3)MR(2,2)+MR(3,3)]
(8)

The magnitude of diattenuation can be obtained as
D=[{MD(1,2)}2+{MD(1,3)}2+{MD(1,4)}2]1/2MD(1,1)
(9)
Here the coefficients MD(1,2) and MD(1,3) represent linear diattenuation for horizontal (vertical) and 45 deg (−45 deg) linear polarization, respectively, and the coefficient MD(1,4) indicates circular diattenuation.

4. Results and discussion

To match experiment, the radius of Gaussian beam was set as 2 mm. As shown in Fig. 6
Fig. 6 Numerical results for Gaussian beam: (a) DOP and (b) Diattenuation curves on central horizontal axis in the backscattering plane for RBC suspensions with different concentrations (4%, 6%, 8%, 10%)
, the DOP/diattenuation curves are smoother than the corresponding curves in Fig. 5.

The experimental results and the simulation results agree with each other qualitatively rather than quantitatively. For DOP, experimental values are evidently larger than numerical ones; as to diattenuation, the experimental value at the incident point is far larger than the simulation value. The reason causing the difference is that discrepancy exists in experimental samples and simulation samples. Experimentally, RBCs in physiological saline are not uniformly distributed on account of RBCs subsiding in the process of rotating wave-plates. Although we shook up the RBC suspensions several times during the experimental process, non-uniform distribution of RBCs in physiological saline was unavoidable. So the concentrations of experimental samples especially for supernatant liquid are lower than simulation samples, which accounts for the higher DOP in experimental results. At the other hand, the heterogeneity of RBCs in experimental samples maybe accounts for larger diattenuation at the incident point in experimental results.

A diattenuator has an intensity transmission that depends on the incident polarization state. Figure 8
Fig. 8 Indexed diattenuation dependence on radial distance in the backscattering plane. N denotes the number of scattering events. The symbols are MC calculation results and the lines are a guide for the eye.
shows the diattenuation dependence on the radial distance for photon packets experiencing different number of scattering events. It is seen that diattenuation increases with radial distance for the photon packets encountering the same number of scattering events; diattenuation decay monotonously with number of scattering events for the photon packets emergent from the same distance. At certain position, diattenuation is affected by many photon packets experiencing different number of scattering events. The preliminary conclusion comes out that diattenuation dependence on radial distance is also affected by scattering number and scattering angle. But the influence mechanism of scattering number and scattering angle on diattenuation is different from that on DOP.

5. Conclusion

We have studied the backscattering polarization characteristics of RBC suspensions experimentally and theoretically. According to the dependence of DOP and diattenuation on radial distance, we find that the abnormal variations in the central area are not caused by experimental errors, since simulation results exhibit the similar abnormality. It is found that the measured polarization characteristics and the simulation ones are in qualitative agreement even in the central region. Further analysis shows the abnormality of DOP in the central region in backscattering plane is caused by the combined effects of scattering angle and scattering number. Diattenuation is also affected by scattering angle and scattering number, but the influence mechanism is different from that on DOP. More studies should be conducted to interpret the detailed mechanism and the reasons to induce the quantitative discrepancy between experimental results and simulation results.

References and links

1.

F. Boulvert, G. Le Brun, B. Le Jeune, J. Cariou, and L. Martin, “Decomposition algorithm of an experimental Mueller matrix,” Opt. Commun. 282(5), 692–704 (2009). [CrossRef]

2.

M. H. Smith, “Interpreting Mueller matrix images of tissues,” Proc. SPIE 4257, 82–89 (2001). [CrossRef]

3.

J. L. Pezzaniti and R. A. Chipman, “Mueller matrix imaging polarimetry,” Opt. Eng. 34(6), 1558–1568 (1995). [CrossRef]

4.

A. H. Hielscher, A. A. Eick, J. R. Mourant, D. Shen, J. P. Freyer, and I. J. Bigio, “Diffuse backscattering Mueller matricesof highly scattering media,” Opt. Express 1(13), 441–453 (1997). [CrossRef] [PubMed]

5.

B. D. Cameron, M. J. Raković, M. Mehrübeoğlu, G. W. Kattawar, S. Rastegar, L. V. Wang, and G. L. Coté, “Measurement and calculation of the two-dimensional backscattering Mueller matrix of a turbid medium,” Opt. Lett. 23(7), 485–487 (1998). [CrossRef] [PubMed]

6.

M. J. Raković, G. W. Kattawar, M. B. Mehrübeoğlu, B. D. Cameron, L. V. Wang, S. Rastegar, and G. L. Coté, “Light backscattering polarization patterns from turbid media: theory and experiment,” Appl. Opt. 38(15), 3399–3408 (1999). [CrossRef] [PubMed]

7.

P. Yang, H. Wei, G. W. Kattawar, Y. X. Hu, D. M. Winker, C. A. Hostetler, and B. A. Baum, “Sensitivity of the backscattering Mueller matrix to particle shape and thermodynamic phase,” Appl. Opt. 42(21), 4389–4395 (2003). [CrossRef] [PubMed]

8.

M. R. Antonelli, A. Pierangelo, T. Novikova, P. Validire, A. Benali, B. Gayet, and A. De Martino, “Mueller matrix imaging of human colon tissue for cancer diagnostics: how Monte Carlo modeling can help in the interpretation of experimental data,” Opt. Express 18(10), 10200–10208 (2010). [CrossRef] [PubMed]

9.

X. Li and G. Yao, “Mueller matrix decomposition of diffuse reflectance imaging in skeletal muscle,” Appl. Opt. 48(14), 2625–2631 (2009). [CrossRef] [PubMed]

10.

J. Chung, W. Jung, M. J. Hammer-Wilson, P. Wilder-Smith, and Z. Chen, “Use of polar decomposition for the diagnosis of oral precancer,” Appl. Opt. 46(15), 3038–3045 (2007). [CrossRef] [PubMed]

11.

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 polarized light assessment of biological tissues,” J Biophotonics 2(3), 145–156 (2009). [CrossRef] [PubMed]

12.

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

13.

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). [CrossRef]

14.

M. Itoh, M. Yamanari, Y. Yasuno, and T. Yatagai, “Polarization characteristics of multiple backscattering in human blood cell suspensions,” Opt. Quantum Electron. 37(13-15), 1277–1285 (2005). [CrossRef]

15.

X. Wang, L. V. Wang, C. W. Sun, and C. C. Yang, “Polarized light propagation through scattering media: time-resolved Monte Carlo simulations and experiments,” J. Biomed. Opt. 8(4), 608–617 (2003). [CrossRef] [PubMed]

16.

D. Côté and I. A. Vitkin, “Robust concentration determination of optically active molecules in turbid media with validated three-dimensional polarization sensitive Monte Carlo calculations,” Opt. Express 13(1), 148–163 (2005). [CrossRef] [PubMed]

17.

J. C. Ramella-Roman, S. A. Prahl, and S. L. Jacques, “Three Monte Carlo programs of polarized light transport into scattering media: part I,” Opt. Express 13(12), 4420–4438 (2005). [CrossRef] [PubMed]

18.

J. C. Ramella-Roman, S. A. Prahl, and S. L. Jacques, “Three Monte Carlo programs of polarized light transport into scattering media: part II,” Opt. Express 13(25), 10392–10405 (2005). [CrossRef] [PubMed]

19.

http://omlc.ogi.edu/software/polarization/

20.

N. Ghosh, M. F. G. Wood, and I. A. Vitkin, “Polarimetry in turbid, birefringent, optically active media: A Monte Carlo study of Mueller matrix decomposition in the backscattering geometry,” J. Appl. Phys. 105(10), 102023 (2009). [CrossRef]

21.

J. Q. Lu, P. Yang, and X. H. Hu, “Simulations of light scattering from a biconcave red blood cell using the finite-difference time-domain method,” J. Biomed. Opt. 10(2), 024022 (2005). [CrossRef] [PubMed]

22.

J. Morio and F. Goudail, “Influence of the order of diattenuator, retarder, and polarizer in polar decomposition of Mueller matrices,” Opt. Lett. 29(19), 2234–2236 (2004). [CrossRef] [PubMed]

23.

S. Manhas, M. K. Swami, P. Buddhiwant, N. Ghosh, P. K. Gupta, and J. Singh, “Mueller matrix approach for determination of optical rotation in chiral turbid media in backscattering geometry,” Opt. Express 14(1), 190–202 (2006). [CrossRef] [PubMed]

24.

X. Wang, L. Yang, J. Lai, and Z. Li, “Polar decomposition applied to light back-scattering by erythrocyte suspensions,” Proc. SPIE 8192, 81924T, 81924T-6 (2011). [CrossRef]

25.

A. Roggan, M. Friebel, K. Dörschel, A. Hahn, and G. Müller, “Optical properties of circulating human blood in the wavelength range 400-2500 nm,” J. Biomed. Opt. 4(1), 36–46 (1999). [CrossRef]

26.

X. Guo, M. F. G. Wood, and A. Vitkin, “Monte Carlo study of pathlength distribution of polarized light in turbid media,” Opt. Express 15(3), 1348–1360 (2007). [CrossRef] [PubMed]

27.

M. Friebel, J. Helfmann, and M. C. Meinke, “Influence of osmolarity on the optical properties of human erythrocytes,” J. Biomed. Opt. 15(5), 055005 (2010). [CrossRef] [PubMed]

OCIS Codes
(110.7050) Imaging systems : Turbid media
(120.5410) Instrumentation, measurement, and metrology : Polarimetry
(290.1350) Scattering : Backscattering

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: May 7, 2012
Revised Manuscript: June 27, 2012
Manuscript Accepted: August 20, 2012
Published: August 24, 2012

Virtual Issues
Vol. 7, Iss. 10 Virtual Journal for Biomedical Optics

Citation
Xuezhen Wang, Jiancheng Lai, and Zhenhua Li, "Polarization studies for backscattering of RBC suspensions based on Mueller matrix decomposition," Opt. Express 20, 20771-20782 (2012)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=oe-20-18-20771


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References

  1. F. Boulvert, G. Le Brun, B. Le Jeune, J. Cariou, and L. Martin, “Decomposition algorithm of an experimental Mueller matrix,” Opt. Commun. 282(5), 692–704 (2009). [CrossRef]
  2. M. H. Smith, “Interpreting Mueller matrix images of tissues,” Proc. SPIE 4257, 82–89 (2001). [CrossRef]
  3. J. L. Pezzaniti and R. A. Chipman, “Mueller matrix imaging polarimetry,” Opt. Eng. 34(6), 1558–1568 (1995). [CrossRef]
  4. A. H. Hielscher, A. A. Eick, J. R. Mourant, D. Shen, J. P. Freyer, and I. J. Bigio, “Diffuse backscattering Mueller matricesof highly scattering media,” Opt. Express 1(13), 441–453 (1997). [CrossRef] [PubMed]
  5. B. D. Cameron, M. J. Raković, M. Mehrübeoğlu, G. W. Kattawar, S. Rastegar, L. V. Wang, and G. L. Coté, “Measurement and calculation of the two-dimensional backscattering Mueller matrix of a turbid medium,” Opt. Lett. 23(7), 485–487 (1998). [CrossRef] [PubMed]
  6. M. J. Raković, G. W. Kattawar, M. B. Mehrübeoğlu, B. D. Cameron, L. V. Wang, S. Rastegar, and G. L. Coté, “Light backscattering polarization patterns from turbid media: theory and experiment,” Appl. Opt. 38(15), 3399–3408 (1999). [CrossRef] [PubMed]
  7. P. Yang, H. Wei, G. W. Kattawar, Y. X. Hu, D. M. Winker, C. A. Hostetler, and B. A. Baum, “Sensitivity of the backscattering Mueller matrix to particle shape and thermodynamic phase,” Appl. Opt. 42(21), 4389–4395 (2003). [CrossRef] [PubMed]
  8. M. R. Antonelli, A. Pierangelo, T. Novikova, P. Validire, A. Benali, B. Gayet, and A. De Martino, “Mueller matrix imaging of human colon tissue for cancer diagnostics: how Monte Carlo modeling can help in the interpretation of experimental data,” Opt. Express 18(10), 10200–10208 (2010). [CrossRef] [PubMed]
  9. X. Li and G. Yao, “Mueller matrix decomposition of diffuse reflectance imaging in skeletal muscle,” Appl. Opt. 48(14), 2625–2631 (2009). [CrossRef] [PubMed]
  10. J. Chung, W. Jung, M. J. Hammer-Wilson, P. Wilder-Smith, and Z. Chen, “Use of polar decomposition for the diagnosis of oral precancer,” Appl. Opt. 46(15), 3038–3045 (2007). [CrossRef] [PubMed]
  11. 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 polarized light assessment of biological tissues,” J Biophotonics 2(3), 145–156 (2009). [CrossRef] [PubMed]
  12. N. Ghosh and I. A. Vitkin, “Tissue polarimetry: concepts, challenges, applications, and outlook,” J. Biomed. Opt. 16(11), 110801 (2011). [CrossRef] [PubMed]
  13. 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). [CrossRef]
  14. M. Itoh, M. Yamanari, Y. Yasuno, and T. Yatagai, “Polarization characteristics of multiple backscattering in human blood cell suspensions,” Opt. Quantum Electron. 37(13-15), 1277–1285 (2005). [CrossRef]
  15. X. Wang, L. V. Wang, C. W. Sun, and C. C. Yang, “Polarized light propagation through scattering media: time-resolved Monte Carlo simulations and experiments,” J. Biomed. Opt. 8(4), 608–617 (2003). [CrossRef] [PubMed]
  16. D. Côté and I. A. Vitkin, “Robust concentration determination of optically active molecules in turbid media with validated three-dimensional polarization sensitive Monte Carlo calculations,” Opt. Express 13(1), 148–163 (2005). [CrossRef] [PubMed]
  17. J. C. Ramella-Roman, S. A. Prahl, and S. L. Jacques, “Three Monte Carlo programs of polarized light transport into scattering media: part I,” Opt. Express 13(12), 4420–4438 (2005). [CrossRef] [PubMed]
  18. J. C. Ramella-Roman, S. A. Prahl, and S. L. Jacques, “Three Monte Carlo programs of polarized light transport into scattering media: part II,” Opt. Express 13(25), 10392–10405 (2005). [CrossRef] [PubMed]
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