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Fast Mueller matrix microscope based on dual DoFP polarimeters

Tongyu Huang, Ruoyu Meng, Ji Qi, Yudi Liu, Xingjian Wang, Yan Chen, Ran Liao, and Hui Ma

Open Access Open Access

Abstract

In this Letter, we report a dual division of focal plane (DoFP) polarimeters-based full Mueller matrix microscope (DoFPs-MMM) for fast polarization imaging. Both acquisition speed and measurement accuracy are improved compared with those of a Mueller matrix microscope based on dual rotating retarders. Then, the system is applied to probe the polarization properties of a red blood cells smear. The experimental results show that a DoFPs-MMM has the potential to be a powerful tool for probing dynamic processes in living cells in future studies.

© 2021 Optical Society of America

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J. Chang, H. He, Y. Wang, Y. Huang, X. Li, C. He, R. Liao, N. Zeng, S. Liu, and H. Ma, J. Biomed. Opt. 21, 056002 (2016).
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Ma, H.

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P. Li, D. Lv, H. He, and H. Ma, Opt. Express 26, 3791 (2018).
[Crossref]

J. Chang, H. He, Y. Wang, Y. Huang, X. Li, C. He, R. Liao, N. Zeng, S. Liu, and H. Ma, J. Biomed. Opt. 21, 056002 (2016).
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J. Chang, H. He, Y. Wang, Y. Huang, X. Li, C. He, R. Liao, N. Zeng, S. Liu, and H. Ma, J. Biomed. Opt. 21, 056002 (2016).
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Wu, L.

X. Li, H. Hu, L. Zhao, H. Wang, Y. Yu, L. Wu, and T. Liu, Sci. Rep. 8, 12430 (2018).
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Yu, Y.

X. Li, H. Hu, L. Zhao, H. Wang, Y. Yu, L. Wu, and T. Liu, Sci. Rep. 8, 12430 (2018).
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Zhang, X.

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X. Li, H. Hu, L. Zhao, H. Wang, Y. Yu, L. Wu, and T. Liu, Sci. Rep. 8, 12430 (2018).
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Z. Chen, R. Meng, Y. Zhu, and H. Ma, Opt. Lasers Eng. 129, 106055 (2020).
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Appl. Opt. (2)

Biomed. Opt. Express (1)

J. Biomed. Opt. (2)

J. Chang, H. He, Y. Wang, Y. Huang, X. Li, C. He, R. Liao, N. Zeng, S. Liu, and H. Ma, J. Biomed. Opt. 21, 056002 (2016).
[Crossref]

S. Alali and A. Vitkin, J. Biomed. Opt. 20, 61104 (2015).
[Crossref]

J. Opt. Soc. Am. A (1)

Micron (1)

Y. Wang, H. He, J. Chang, N. Zeng, S. Liu, M. Li, and H. Ma, Micron 79, 8 (2015).
[Crossref]

Microscope (1)

R. Weaver, Microscope 52, 81 (2004).

Nature (1)

R. Oldenbourg, Nature 381, 811 (1996).
[Crossref]

Opt. Express (5)

Opt. Lasers Eng. (1)

Z. Chen, R. Meng, Y. Zhu, and H. Ma, Opt. Lasers Eng. 129, 106055 (2020).
[Crossref]

Opt. Lett. (2)

Sci. Rep. (1)

X. Li, H. Hu, L. Zhao, H. Wang, Y. Yu, L. Wu, and T. Liu, Sci. Rep. 8, 12430 (2018).
[Crossref]

Other (1)

H. Han, X. Zhang, and F. Guan, “A simultaneous full polarization imaging device and method,” China patentCN109343230A (15February2019).

Data Availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Figures (6)
Fig. 1.
Fig. 1. Photograph and configuration of the (a) MMM based on DRRs. (b) MMM based on dual DoFP polarimeters.

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Fig. 2.
Fig. 2. Diagram of the pixelated MPA of a DoFP polarimeter.

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Fig. 3.
Fig. 3. CN map of ${{\boldsymbol A}_{{\rm PSA}}}$. Color bar represents the common logarithm of the CN for better visualization.

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Fig. 4.
Fig. 4. Traces of polarization states generated by the PSG on the Poincare sphere. (a) Scheme 1: R1 rotates to four angles. (b) Scheme 2: R1 rotates 180° continuously.

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Fig. 5.
Fig. 5. Results of linear polarizer (blue) and wave plate (red) with different azimuths obtained by DoFPs-MMM using scheme 2. (a) MM elements. (b) Absolute errors.

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Fig. 6.
Fig. 6. Polarization parameters images of a red blood cell smear. (a) $D$, the diattenuation parameter. (b) ${\alpha _D}$, the azimuth of m12 and m13.

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Tables (1)

Tables Icon

Table 1. Average Acquisition Time, Average RMSE, and Condition Number of Three Different MM Imaging Methods

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Equations (11)

Equations on this page are rendered with MathJax. Learn more.

S = [ S 0 S 1 S 2 ] = [ I 0 + I 90 I 0 − I 90 I 45 − I 135 ] ,
A D o F P = [ I ] [ S r e f ] − 1 ,
A P S A = [ A D o F P M R 2 ( θ R 2 , δ R 2 ) A D o F P ] ,
S o u t t r a n s & R 2 = M t r a n s & R 2 S i n ,
S o u t r e f l e c t = M r e f l e c t S i n ,
M t r a n s & R 2 = [ S o u t t r a n s & R 2 ] [ S i n ] − 1 ,
M r e f l e c t = [ S o u t r e f l e c t ] [ S i n ] − 1 ,
A P S A = [ A D o F P M t r a n s & R 2 A D o F P M r e f l e c t ] .
S = A P S A − 1 I ,
M s a m p l e = [ S o u t ] [ S i n ] − 1 .
R M S E ¯ = a v e r a g e ( 1 16 ∑ n = 1 16 ( m e a s u r e d n − t r u e n ) 2 ) .

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