Abstract

A novel technique to measure the full 4 × 4 Mueller matrix of a sample through an optical fiber is proposed, opening the way for endoscopic applications of Mueller polarimetry for biomedical diagnosis. The technique is based on two subsequent Mueller matrices measurements: one for characterizing the fiber only, and another for the assembly of fiber and sample. From this differential measurement, we proved theoretically that the polarimetric properties of the sample can be deduced. The proof of principle was experimentally validated by measuring various polarimetric parameters of known optical components. Images of manufactured and biological samples acquired by using this approach are also presented.

© 2015 Optical Society of America

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References

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2013 (4)

2012 (2)

2011 (2)

2009 (1)

2008 (1)

S. Delvaux and M. V. Barel, “Eigenvalue computation for unitary rank structured matrices,” J. Comput. Appl. Math. 213, 268–287 (2008).
[Crossref]

2007 (2)

2002 (2)

A. Myakov, L. Nieman, L. Wicky, U. Utzinger, R. Richards-Kortum, and K. Sokolov, “Fiber optic probe for polarized reflectance spectroscopy in vivo: Design and performance,” J. Biomed. Opt. 7, 388–397 (2002).
[Crossref] [PubMed]

S. L. Jacques, J. Ramella-Roman, and K. Lee, “Imaging skin pathology with polarized light,” J. Biomed. Opt. 7, 329–340 (2002).
[Crossref] [PubMed]

2001 (2)

R. S. Gurjar, V. Backman, L. T. Perelman, I. Georgakoudi, K. Badizadegan, I. Itzkan, R. R. Dasari, and M. S. Feld, “Imaging human epithelial properties with polarized light-scattering spectroscopy,” Nat. Med. 7, 1245–1248 (2001).
[Crossref] [PubMed]

T. Chartier, A. Hideur, C. Özkul, F. Sanchez, and G. M. Stéphan, “Measurement of the elliptical birefringence of single-mode optical fibers,” Appl. Opt. 40, 5343–5353 (2001).
[Crossref]

2000 (1)

M. H. Smith, P. D. Burke, A. Lompado, E. A. Tanner, and L. W. Hillman, “Mueller matrix imaging polarimetry in dermatology,” Proc. SPIE 3911, 210–216 (2000).
[Crossref]

1999 (1)

1997 (1)

D. J. Maitland and J. T. Walsh, “Quantitative measurements of linear birefringence during heating of native collagen,” Lasers Surg. Med. 20, 310–318 (1997).
[Crossref] [PubMed]

1996 (1)

Alouini, M.

J. Fade and M. Alouini, “Depolarization remote sensing by orthogonality breaking,” Phys. Rev. Lett. 109, 043901 (2012).
[Crossref] [PubMed]

Antonelli, M.-R.

Babilotte, P.

Backman, V.

R. S. Gurjar, V. Backman, L. T. Perelman, I. Georgakoudi, K. Badizadegan, I. Itzkan, R. R. Dasari, and M. S. Feld, “Imaging human epithelial properties with polarized light-scattering spectroscopy,” Nat. Med. 7, 1245–1248 (2001).
[Crossref] [PubMed]

Badizadegan, K.

R. S. Gurjar, V. Backman, L. T. Perelman, I. Georgakoudi, K. Badizadegan, I. Itzkan, R. R. Dasari, and M. S. Feld, “Imaging human epithelial properties with polarized light-scattering spectroscopy,” Nat. Med. 7, 1245–1248 (2001).
[Crossref] [PubMed]

Barel, M. V.

S. Delvaux and M. V. Barel, “Eigenvalue computation for unitary rank structured matrices,” J. Comput. Appl. Math. 213, 268–287 (2008).
[Crossref]

Barthélémy, A.

Benali, A.

Burke, P. D.

M. H. Smith, P. D. Burke, A. Lompado, E. A. Tanner, and L. W. Hillman, “Mueller matrix imaging polarimetry in dermatology,” Proc. SPIE 3911, 210–216 (2000).
[Crossref]

Campos, Juan

Cariou, J.

Chartier, T.

Chen, Z.

Chipman, R. A.

Chung, J.

Clancy, N. T.

Cohen, H.

Compain, E.

Dasari, R. R.

R. S. Gurjar, V. Backman, L. T. Perelman, I. Georgakoudi, K. Badizadegan, I. Itzkan, R. R. Dasari, and M. S. Feld, “Imaging human epithelial properties with polarized light-scattering spectroscopy,” Nat. Med. 7, 1245–1248 (2001).
[Crossref] [PubMed]

De Martino, A.

Delvaux, S.

S. Delvaux and M. V. Barel, “Eigenvalue computation for unitary rank structured matrices,” J. Comput. Appl. Math. 213, 268–287 (2008).
[Crossref]

Desroches, J.

Drevillon, B.

Dubreuil, M.

Elson, D. S.

Fade, J.

J. Fade and M. Alouini, “Depolarization remote sensing by orthogonality breaking,” Phys. Rev. Lett. 109, 043901 (2012).
[Crossref] [PubMed]

Fallet, C.

Feld, M. S.

R. S. Gurjar, V. Backman, L. T. Perelman, I. Georgakoudi, K. Badizadegan, I. Itzkan, R. R. Dasari, and M. S. Feld, “Imaging human epithelial properties with polarized light-scattering spectroscopy,” Nat. Med. 7, 1245–1248 (2001).
[Crossref] [PubMed]

Garcia-Caurel, E.

Gaston, J.-P.

Gayet, B.

Georgakoudi, I.

R. S. Gurjar, V. Backman, L. T. Perelman, I. Georgakoudi, K. Badizadegan, I. Itzkan, R. R. Dasari, and M. S. Feld, “Imaging human epithelial properties with polarized light-scattering spectroscopy,” Nat. Med. 7, 1245–1248 (2001).
[Crossref] [PubMed]

Ghosh, N.

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

Goldstein, D.

D. Goldstein, Polarized Light, Revised and Expanded (Taylor & Francis, 2003).
[Crossref]

Gurjar, R. S.

R. S. Gurjar, V. Backman, L. T. Perelman, I. Georgakoudi, K. Badizadegan, I. Itzkan, R. R. Dasari, and M. S. Feld, “Imaging human epithelial properties with polarized light-scattering spectroscopy,” Nat. Med. 7, 1245–1248 (2001).
[Crossref] [PubMed]

Hammer-Wilson, M. J.

Hideur, A.

Hillman, L. W.

M. H. Smith, P. D. Burke, A. Lompado, E. A. Tanner, and L. W. Hillman, “Mueller matrix imaging polarimetry in dermatology,” Proc. SPIE 3911, 210–216 (2000).
[Crossref]

Ibrahim, B. H.

Itzkan, I.

R. S. Gurjar, V. Backman, L. T. Perelman, I. Georgakoudi, K. Badizadegan, I. Itzkan, R. R. Dasari, and M. S. Feld, “Imaging human epithelial properties with polarized light-scattering spectroscopy,” Nat. Med. 7, 1245–1248 (2001).
[Crossref] [PubMed]

Jacques, S. L.

S. L. Jacques, J. Ramella-Roman, and K. Lee, “Imaging skin pathology with polarized light,” J. Biomed. Opt. 7, 329–340 (2002).
[Crossref] [PubMed]

Jung, W.

Le Brun, G.

Le Grand, Y.

Le Jeune, B.

Lee, K.

S. L. Jacques, J. Ramella-Roman, and K. Lee, “Imaging skin pathology with polarized light,” J. Biomed. Opt. 7, 329–340 (2002).
[Crossref] [PubMed]

Lizana, A.

Lompado, A.

M. H. Smith, P. D. Burke, A. Lompado, E. A. Tanner, and L. W. Hillman, “Mueller matrix imaging polarimetry in dermatology,” Proc. SPIE 3911, 210–216 (2000).
[Crossref]

Louradour, F.

Lu, S.-Y.

Maitland, D. J.

D. J. Maitland and J. T. Walsh, “Quantitative measurements of linear birefringence during heating of native collagen,” Lasers Surg. Med. 20, 310–318 (1997).
[Crossref] [PubMed]

Manhas, S.

Martin, L.

Myakov, A.

A. Myakov, L. Nieman, L. Wicky, U. Utzinger, R. Richards-Kortum, and K. Sokolov, “Fiber optic probe for polarized reflectance spectroscopy in vivo: Design and performance,” J. Biomed. Opt. 7, 388–397 (2002).
[Crossref] [PubMed]

Nazac, A.

Nieman, L.

A. Myakov, L. Nieman, L. Wicky, U. Utzinger, R. Richards-Kortum, and K. Sokolov, “Fiber optic probe for polarized reflectance spectroscopy in vivo: Design and performance,” J. Biomed. Opt. 7, 388–397 (2002).
[Crossref] [PubMed]

Novikova, T.

Özkul, C.

Pagnoux, D.

Peinado, A.

Perelman, L. T.

R. S. Gurjar, V. Backman, L. T. Perelman, I. Georgakoudi, K. Badizadegan, I. Itzkan, R. R. Dasari, and M. S. Feld, “Imaging human epithelial properties with polarized light-scattering spectroscopy,” Nat. Med. 7, 1245–1248 (2001).
[Crossref] [PubMed]

Pierangelo, A.

Poirier, S.

Qi, J.

Ramella-Roman, J.

S. L. Jacques, J. Ramella-Roman, and K. Lee, “Imaging skin pathology with polarized light,” J. Biomed. Opt. 7, 329–340 (2002).
[Crossref] [PubMed]

Richards-Kortum, R.

A. Myakov, L. Nieman, L. Wicky, U. Utzinger, R. Richards-Kortum, and K. Sokolov, “Fiber optic probe for polarized reflectance spectroscopy in vivo: Design and performance,” J. Biomed. Opt. 7, 388–397 (2002).
[Crossref] [PubMed]

Rivet, S.

Sanchez, F.

Sevrain, D.

Singh, M.

Smith, M. H.

M. H. Smith, P. D. Burke, A. Lompado, E. A. Tanner, and L. W. Hillman, “Mueller matrix imaging polarimetry in dermatology,” Proc. SPIE 3911, 210–216 (2000).
[Crossref]

Sokolov, K.

A. Myakov, L. Nieman, L. Wicky, U. Utzinger, R. Richards-Kortum, and K. Sokolov, “Fiber optic probe for polarized reflectance spectroscopy in vivo: Design and performance,” J. Biomed. Opt. 7, 388–397 (2002).
[Crossref] [PubMed]

Stéphan, G. M.

Tanner, E. A.

M. H. Smith, P. D. Burke, A. Lompado, E. A. Tanner, and L. W. Hillman, “Mueller matrix imaging polarimetry in dermatology,” Proc. SPIE 3911, 210–216 (2000).
[Crossref]

Turlin, B.

Utzinger, U.

A. Myakov, L. Nieman, L. Wicky, U. Utzinger, R. Richards-Kortum, and K. Sokolov, “Fiber optic probe for polarized reflectance spectroscopy in vivo: Design and performance,” J. Biomed. Opt. 7, 388–397 (2002).
[Crossref] [PubMed]

Validire, P.

Vitkin, I. A.

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

Walsh, J. T.

D. J. Maitland and J. T. Walsh, “Quantitative measurements of linear birefringence during heating of native collagen,” Lasers Surg. Med. 20, 310–318 (1997).
[Crossref] [PubMed]

Wicky, L.

A. Myakov, L. Nieman, L. Wicky, U. Utzinger, R. Richards-Kortum, and K. Sokolov, “Fiber optic probe for polarized reflectance spectroscopy in vivo: Design and performance,” J. Biomed. Opt. 7, 388–397 (2002).
[Crossref] [PubMed]

Wilder-Smith, P

Yan, L.

Ye, M.

Appl. Opt. (4)

Appl. Spectrosc. (1)

Biomed. Opt. Express (1)

J. Biomed. Opt. (3)

S. L. Jacques, J. Ramella-Roman, and K. Lee, “Imaging skin pathology with polarized light,” J. Biomed. Opt. 7, 329–340 (2002).
[Crossref] [PubMed]

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

A. Myakov, L. Nieman, L. Wicky, U. Utzinger, R. Richards-Kortum, and K. Sokolov, “Fiber optic probe for polarized reflectance spectroscopy in vivo: Design and performance,” J. Biomed. Opt. 7, 388–397 (2002).
[Crossref] [PubMed]

J. Comput. Appl. Math. (1)

S. Delvaux and M. V. Barel, “Eigenvalue computation for unitary rank structured matrices,” J. Comput. Appl. Math. 213, 268–287 (2008).
[Crossref]

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

Lasers Surg. Med. (1)

D. J. Maitland and J. T. Walsh, “Quantitative measurements of linear birefringence during heating of native collagen,” Lasers Surg. Med. 20, 310–318 (1997).
[Crossref] [PubMed]

Nat. Med. (1)

R. S. Gurjar, V. Backman, L. T. Perelman, I. Georgakoudi, K. Badizadegan, I. Itzkan, R. R. Dasari, and M. S. Feld, “Imaging human epithelial properties with polarized light-scattering spectroscopy,” Nat. Med. 7, 1245–1248 (2001).
[Crossref] [PubMed]

Opt. Express (3)

Opt. Lett. (2)

Phys. Rev. Lett. (1)

J. Fade and M. Alouini, “Depolarization remote sensing by orthogonality breaking,” Phys. Rev. Lett. 109, 043901 (2012).
[Crossref] [PubMed]

Proc. SPIE (1)

M. H. Smith, P. D. Burke, A. Lompado, E. A. Tanner, and L. W. Hillman, “Mueller matrix imaging polarimetry in dermatology,” Proc. SPIE 3911, 210–216 (2000).
[Crossref]

Other (1)

D. Goldstein, Polarized Light, Revised and Expanded (Taylor & Francis, 2003).
[Crossref]

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Figures (5)

Fig. 1
Fig. 1 Schematic of the experimental setup. PIBS : Polarization Insensitive Beam Splitter ; MSM : Micro-Switchable Mirror ; PSG : Polarization States Generator ; PSA : Polarization States Analyzer.
Fig. 2
Fig. 2 Retrieved Linear Retardance (LR) and waveplate rotation from measured Mueller matrices of the λ 8 waveplate (in double pass) set at different orientations.
Fig. 3
Fig. 3 Retrieved polarimetric parameters from measured and simulated Mueller matrices of the assembly Babinet-Soleil compensator with variable linear retardance and tilted glass plate. LR : Linear Retardance ; LD : Linear Diattenuation ; CD : Circular Diattenuation.
Fig. 4
Fig. 4 Sample raw image (a), corresponding measured Mueller matrix (b), retrieved linear diattenuation (c), and linear retardance (d) from measured Mueller matrix.
Fig. 5
Fig. 5 Raw image of type I collagen sample (a), retrieved linear retardance (b) and eigenaxis orientation of linear retardance (c) from measured Mueller matrix.

Tables (1)

Tables Icon

Table 1 Measured Mueller matrix MFFexp and Mueller matrix after minimizing the quantity A (θ = θa and θ′ = θb).

Equations (10)

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

M FF = M En M E 2 M E 1
R ( θ i ) = ( 1 0 0 0 0 cos θ i sin θ i 0 0 sin θ i cos θ i 0 0 0 0 1 )
D ( δ i ) = ( 1 0 0 0 0 1 0 0 0 0 cos δ i sin δ i 0 0 sin δ i cos δ i )
M FF = R ( θ b ) D ( δ ) R ( θ a )
M ¯ ( θ , θ ) = R ( θ ) M FF exp R ( θ )
M 1 = M FB M FF
= R ( θ a ) D ( δ ) R ( θ b ) R ( θ b ) D ( δ ) R ( θ a )
= R ( θ a ) D ( 2 δ ) R ( θ a )
M 2 = R ( θ a ) D ( δ ) R ( θ b ) M S R ( θ b ) D ( δ ) R ( θ a )
R ( θ b ) M S R ( θ b ) = D 1 ( δ ) R ( θ a ) M 2 R ( θ a ) D 1 ( δ )

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