Abstract

We employed the scattering-phase theorem recently derived in our laboratory to extract tissue scattering properties from quantitative phase images. Using tissue path-length maps that contain nanoscale information about the tissue, the scattering mean free path ls and anisotropy factor g were measured in a spatially resolved manner.

© 2011 Optical Society of America

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References

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  1. A.Wax and V.Backman, eds., Biomedical Applications of Light Scattering (McGraw-Hill, 2010).
  2. A. Amelink, H. J. C. M. Sterenborg, M. P. L. Bard, and S. A. Burgers, Opt. Lett. 29, 1087 (2004).
    [CrossRef] [PubMed]
  3. D. J. Cuccia, F. Bevilacqua, A. J. Durkin, F. R. Ayers, and B. J. Tromberg, J. Biomed. Opt. 14, 024012 (2009).
    [CrossRef] [PubMed]
  4. F. Bevilacqua, D. Piguet, P. Marquet, J. D. Gross, B. J. Tromberg, and C. Depeursinge, Appl. Opt. 38, 4939(1999).
    [CrossRef]
  5. Z. Wang, H. Ding, and G. Popescu, Opt. Lett. 36, 1215(2011).
    [CrossRef] [PubMed]
  6. G. Popescu, in Methods in Cell Biology, B.P.Jena, ed. (Academic, 2008) p. 87–115.
    [CrossRef]
  7. C. Depeursinge, in Digital Holography and Three-Dimensional Display, T.-C.Poon, ed. (Springer U.S., 2006), p. 98–143.
  8. M. Mir, M. Ding, Z. Wang, J. Reedy, K. Tangella, and G. Popescu, J. Biomed. Opt. 15, 027016 (2010).
    [CrossRef] [PubMed]
  9. Y. K. Park, M. Diez-Silva, G. Popescu, G. Lykotrafitis, W. Choi, M. S. Feld, and S. Suresh, Proc. Natl. Acad. Sci. USA 105, 13730 (2008).
    [CrossRef] [PubMed]
  10. Y. K. Park, C. A. Best, K. Badizadegan, R. R. Dasari, M. S. Feld, T. Kuriabova, M. L. Henle, A. J. Levine, and G. Popescu, Proc. Natl. Acad. Sci. USA 107, 6731 (2010).
    [CrossRef] [PubMed]
  11. M. Mir, Z. Wang, K. Tangella, and G. Popescu, Opt. Express 17, 2579 (2009).
    [CrossRef] [PubMed]
  12. H. Ding, F. Nguyen, S. A. Boppart, and G. Popescu, Opt. Lett. 34, 1372 (2009).
    [CrossRef] [PubMed]
  13. Z. Wang, K. Tangella, A. Balla, and G. Popescu, “Tissue refractive index as marker of disease,” Proc. Natl. Acad. Sci. USA, submitted for publication.
  14. H. F. Ding, Z. Wang, F. Nguyen, S. A. Boppart, and G. Popescu, Phys. Rev. Lett. 101, 238102 (2008).
    [CrossRef] [PubMed]
  15. Z. Wang, L. J. Millet, M. Mir, H. Ding, S. Unarunotai, J. A. Rogers, M. U. Gillette, and G. Popescu, Opt. Express 19, 1016 (2011).
    [CrossRef] [PubMed]
  16. Z. Wang, I. S. Chun, X. L. Li, Z. Y. Ong, E. Pop, L. Millet, M. Gillette, and G. Popescu, Opt. Lett. 35, 208 (2010).
    [CrossRef] [PubMed]
  17. Z. Wang and G. Popescu, Appl. Phys. Lett. 96, 051117(2010).
    [CrossRef]
  18. V. V. Tuchin, Tissue Optics: Light Scattering Methods and Instruments for Medical Diagnosis (SPIE, 2007).

2011 (2)

2010 (5)

Z. Wang, I. S. Chun, X. L. Li, Z. Y. Ong, E. Pop, L. Millet, M. Gillette, and G. Popescu, Opt. Lett. 35, 208 (2010).
[CrossRef] [PubMed]

Z. Wang and G. Popescu, Appl. Phys. Lett. 96, 051117(2010).
[CrossRef]

A.Wax and V.Backman, eds., Biomedical Applications of Light Scattering (McGraw-Hill, 2010).

M. Mir, M. Ding, Z. Wang, J. Reedy, K. Tangella, and G. Popescu, J. Biomed. Opt. 15, 027016 (2010).
[CrossRef] [PubMed]

Y. K. Park, C. A. Best, K. Badizadegan, R. R. Dasari, M. S. Feld, T. Kuriabova, M. L. Henle, A. J. Levine, and G. Popescu, Proc. Natl. Acad. Sci. USA 107, 6731 (2010).
[CrossRef] [PubMed]

2009 (3)

2008 (3)

G. Popescu, in Methods in Cell Biology, B.P.Jena, ed. (Academic, 2008) p. 87–115.
[CrossRef]

H. F. Ding, Z. Wang, F. Nguyen, S. A. Boppart, and G. Popescu, Phys. Rev. Lett. 101, 238102 (2008).
[CrossRef] [PubMed]

Y. K. Park, M. Diez-Silva, G. Popescu, G. Lykotrafitis, W. Choi, M. S. Feld, and S. Suresh, Proc. Natl. Acad. Sci. USA 105, 13730 (2008).
[CrossRef] [PubMed]

2007 (1)

V. V. Tuchin, Tissue Optics: Light Scattering Methods and Instruments for Medical Diagnosis (SPIE, 2007).

2006 (1)

C. Depeursinge, in Digital Holography and Three-Dimensional Display, T.-C.Poon, ed. (Springer U.S., 2006), p. 98–143.

2004 (1)

1999 (1)

Amelink, A.

Ayers, F. R.

D. J. Cuccia, F. Bevilacqua, A. J. Durkin, F. R. Ayers, and B. J. Tromberg, J. Biomed. Opt. 14, 024012 (2009).
[CrossRef] [PubMed]

Badizadegan, K.

Y. K. Park, C. A. Best, K. Badizadegan, R. R. Dasari, M. S. Feld, T. Kuriabova, M. L. Henle, A. J. Levine, and G. Popescu, Proc. Natl. Acad. Sci. USA 107, 6731 (2010).
[CrossRef] [PubMed]

Balla, A.

Z. Wang, K. Tangella, A. Balla, and G. Popescu, “Tissue refractive index as marker of disease,” Proc. Natl. Acad. Sci. USA, submitted for publication.

Bard, M. P. L.

Best, C. A.

Y. K. Park, C. A. Best, K. Badizadegan, R. R. Dasari, M. S. Feld, T. Kuriabova, M. L. Henle, A. J. Levine, and G. Popescu, Proc. Natl. Acad. Sci. USA 107, 6731 (2010).
[CrossRef] [PubMed]

Bevilacqua, F.

D. J. Cuccia, F. Bevilacqua, A. J. Durkin, F. R. Ayers, and B. J. Tromberg, J. Biomed. Opt. 14, 024012 (2009).
[CrossRef] [PubMed]

F. Bevilacqua, D. Piguet, P. Marquet, J. D. Gross, B. J. Tromberg, and C. Depeursinge, Appl. Opt. 38, 4939(1999).
[CrossRef]

Boppart, S. A.

H. Ding, F. Nguyen, S. A. Boppart, and G. Popescu, Opt. Lett. 34, 1372 (2009).
[CrossRef] [PubMed]

H. F. Ding, Z. Wang, F. Nguyen, S. A. Boppart, and G. Popescu, Phys. Rev. Lett. 101, 238102 (2008).
[CrossRef] [PubMed]

Burgers, S. A.

Choi, W.

Y. K. Park, M. Diez-Silva, G. Popescu, G. Lykotrafitis, W. Choi, M. S. Feld, and S. Suresh, Proc. Natl. Acad. Sci. USA 105, 13730 (2008).
[CrossRef] [PubMed]

Chun, I. S.

Cuccia, D. J.

D. J. Cuccia, F. Bevilacqua, A. J. Durkin, F. R. Ayers, and B. J. Tromberg, J. Biomed. Opt. 14, 024012 (2009).
[CrossRef] [PubMed]

Dasari, R. R.

Y. K. Park, C. A. Best, K. Badizadegan, R. R. Dasari, M. S. Feld, T. Kuriabova, M. L. Henle, A. J. Levine, and G. Popescu, Proc. Natl. Acad. Sci. USA 107, 6731 (2010).
[CrossRef] [PubMed]

Depeursinge, C.

C. Depeursinge, in Digital Holography and Three-Dimensional Display, T.-C.Poon, ed. (Springer U.S., 2006), p. 98–143.

F. Bevilacqua, D. Piguet, P. Marquet, J. D. Gross, B. J. Tromberg, and C. Depeursinge, Appl. Opt. 38, 4939(1999).
[CrossRef]

Diez-Silva, M.

Y. K. Park, M. Diez-Silva, G. Popescu, G. Lykotrafitis, W. Choi, M. S. Feld, and S. Suresh, Proc. Natl. Acad. Sci. USA 105, 13730 (2008).
[CrossRef] [PubMed]

Ding, H.

Ding, H. F.

H. F. Ding, Z. Wang, F. Nguyen, S. A. Boppart, and G. Popescu, Phys. Rev. Lett. 101, 238102 (2008).
[CrossRef] [PubMed]

Ding, M.

M. Mir, M. Ding, Z. Wang, J. Reedy, K. Tangella, and G. Popescu, J. Biomed. Opt. 15, 027016 (2010).
[CrossRef] [PubMed]

Durkin, A. J.

D. J. Cuccia, F. Bevilacqua, A. J. Durkin, F. R. Ayers, and B. J. Tromberg, J. Biomed. Opt. 14, 024012 (2009).
[CrossRef] [PubMed]

Feld, M. S.

Y. K. Park, C. A. Best, K. Badizadegan, R. R. Dasari, M. S. Feld, T. Kuriabova, M. L. Henle, A. J. Levine, and G. Popescu, Proc. Natl. Acad. Sci. USA 107, 6731 (2010).
[CrossRef] [PubMed]

Y. K. Park, M. Diez-Silva, G. Popescu, G. Lykotrafitis, W. Choi, M. S. Feld, and S. Suresh, Proc. Natl. Acad. Sci. USA 105, 13730 (2008).
[CrossRef] [PubMed]

Gillette, M.

Gillette, M. U.

Gross, J. D.

Henle, M. L.

Y. K. Park, C. A. Best, K. Badizadegan, R. R. Dasari, M. S. Feld, T. Kuriabova, M. L. Henle, A. J. Levine, and G. Popescu, Proc. Natl. Acad. Sci. USA 107, 6731 (2010).
[CrossRef] [PubMed]

Kuriabova, T.

Y. K. Park, C. A. Best, K. Badizadegan, R. R. Dasari, M. S. Feld, T. Kuriabova, M. L. Henle, A. J. Levine, and G. Popescu, Proc. Natl. Acad. Sci. USA 107, 6731 (2010).
[CrossRef] [PubMed]

Levine, A. J.

Y. K. Park, C. A. Best, K. Badizadegan, R. R. Dasari, M. S. Feld, T. Kuriabova, M. L. Henle, A. J. Levine, and G. Popescu, Proc. Natl. Acad. Sci. USA 107, 6731 (2010).
[CrossRef] [PubMed]

Li, X. L.

Lykotrafitis, G.

Y. K. Park, M. Diez-Silva, G. Popescu, G. Lykotrafitis, W. Choi, M. S. Feld, and S. Suresh, Proc. Natl. Acad. Sci. USA 105, 13730 (2008).
[CrossRef] [PubMed]

Marquet, P.

Millet, L.

Millet, L. J.

Mir, M.

Nguyen, F.

H. Ding, F. Nguyen, S. A. Boppart, and G. Popescu, Opt. Lett. 34, 1372 (2009).
[CrossRef] [PubMed]

H. F. Ding, Z. Wang, F. Nguyen, S. A. Boppart, and G. Popescu, Phys. Rev. Lett. 101, 238102 (2008).
[CrossRef] [PubMed]

Ong, Z. Y.

Park, Y. K.

Y. K. Park, C. A. Best, K. Badizadegan, R. R. Dasari, M. S. Feld, T. Kuriabova, M. L. Henle, A. J. Levine, and G. Popescu, Proc. Natl. Acad. Sci. USA 107, 6731 (2010).
[CrossRef] [PubMed]

Y. K. Park, M. Diez-Silva, G. Popescu, G. Lykotrafitis, W. Choi, M. S. Feld, and S. Suresh, Proc. Natl. Acad. Sci. USA 105, 13730 (2008).
[CrossRef] [PubMed]

Piguet, D.

Pop, E.

Popescu, G.

Z. Wang, L. J. Millet, M. Mir, H. Ding, S. Unarunotai, J. A. Rogers, M. U. Gillette, and G. Popescu, Opt. Express 19, 1016 (2011).
[CrossRef] [PubMed]

Z. Wang, H. Ding, and G. Popescu, Opt. Lett. 36, 1215(2011).
[CrossRef] [PubMed]

Z. Wang, I. S. Chun, X. L. Li, Z. Y. Ong, E. Pop, L. Millet, M. Gillette, and G. Popescu, Opt. Lett. 35, 208 (2010).
[CrossRef] [PubMed]

M. Mir, M. Ding, Z. Wang, J. Reedy, K. Tangella, and G. Popescu, J. Biomed. Opt. 15, 027016 (2010).
[CrossRef] [PubMed]

Y. K. Park, C. A. Best, K. Badizadegan, R. R. Dasari, M. S. Feld, T. Kuriabova, M. L. Henle, A. J. Levine, and G. Popescu, Proc. Natl. Acad. Sci. USA 107, 6731 (2010).
[CrossRef] [PubMed]

Z. Wang and G. Popescu, Appl. Phys. Lett. 96, 051117(2010).
[CrossRef]

H. Ding, F. Nguyen, S. A. Boppart, and G. Popescu, Opt. Lett. 34, 1372 (2009).
[CrossRef] [PubMed]

M. Mir, Z. Wang, K. Tangella, and G. Popescu, Opt. Express 17, 2579 (2009).
[CrossRef] [PubMed]

H. F. Ding, Z. Wang, F. Nguyen, S. A. Boppart, and G. Popescu, Phys. Rev. Lett. 101, 238102 (2008).
[CrossRef] [PubMed]

G. Popescu, in Methods in Cell Biology, B.P.Jena, ed. (Academic, 2008) p. 87–115.
[CrossRef]

Y. K. Park, M. Diez-Silva, G. Popescu, G. Lykotrafitis, W. Choi, M. S. Feld, and S. Suresh, Proc. Natl. Acad. Sci. USA 105, 13730 (2008).
[CrossRef] [PubMed]

Z. Wang, K. Tangella, A. Balla, and G. Popescu, “Tissue refractive index as marker of disease,” Proc. Natl. Acad. Sci. USA, submitted for publication.

Reedy, J.

M. Mir, M. Ding, Z. Wang, J. Reedy, K. Tangella, and G. Popescu, J. Biomed. Opt. 15, 027016 (2010).
[CrossRef] [PubMed]

Rogers, J. A.

Sterenborg, H. J. C. M.

Suresh, S.

Y. K. Park, M. Diez-Silva, G. Popescu, G. Lykotrafitis, W. Choi, M. S. Feld, and S. Suresh, Proc. Natl. Acad. Sci. USA 105, 13730 (2008).
[CrossRef] [PubMed]

Tangella, K.

M. Mir, M. Ding, Z. Wang, J. Reedy, K. Tangella, and G. Popescu, J. Biomed. Opt. 15, 027016 (2010).
[CrossRef] [PubMed]

M. Mir, Z. Wang, K. Tangella, and G. Popescu, Opt. Express 17, 2579 (2009).
[CrossRef] [PubMed]

Z. Wang, K. Tangella, A. Balla, and G. Popescu, “Tissue refractive index as marker of disease,” Proc. Natl. Acad. Sci. USA, submitted for publication.

Tromberg, B. J.

D. J. Cuccia, F. Bevilacqua, A. J. Durkin, F. R. Ayers, and B. J. Tromberg, J. Biomed. Opt. 14, 024012 (2009).
[CrossRef] [PubMed]

F. Bevilacqua, D. Piguet, P. Marquet, J. D. Gross, B. J. Tromberg, and C. Depeursinge, Appl. Opt. 38, 4939(1999).
[CrossRef]

Tuchin, V. V.

V. V. Tuchin, Tissue Optics: Light Scattering Methods and Instruments for Medical Diagnosis (SPIE, 2007).

Unarunotai, S.

Wang, Z.

Z. Wang, L. J. Millet, M. Mir, H. Ding, S. Unarunotai, J. A. Rogers, M. U. Gillette, and G. Popescu, Opt. Express 19, 1016 (2011).
[CrossRef] [PubMed]

Z. Wang, H. Ding, and G. Popescu, Opt. Lett. 36, 1215(2011).
[CrossRef] [PubMed]

M. Mir, M. Ding, Z. Wang, J. Reedy, K. Tangella, and G. Popescu, J. Biomed. Opt. 15, 027016 (2010).
[CrossRef] [PubMed]

Z. Wang and G. Popescu, Appl. Phys. Lett. 96, 051117(2010).
[CrossRef]

Z. Wang, I. S. Chun, X. L. Li, Z. Y. Ong, E. Pop, L. Millet, M. Gillette, and G. Popescu, Opt. Lett. 35, 208 (2010).
[CrossRef] [PubMed]

M. Mir, Z. Wang, K. Tangella, and G. Popescu, Opt. Express 17, 2579 (2009).
[CrossRef] [PubMed]

H. F. Ding, Z. Wang, F. Nguyen, S. A. Boppart, and G. Popescu, Phys. Rev. Lett. 101, 238102 (2008).
[CrossRef] [PubMed]

Z. Wang, K. Tangella, A. Balla, and G. Popescu, “Tissue refractive index as marker of disease,” Proc. Natl. Acad. Sci. USA, submitted for publication.

Appl. Opt. (1)

Appl. Phys. Lett. (1)

Z. Wang and G. Popescu, Appl. Phys. Lett. 96, 051117(2010).
[CrossRef]

J. Biomed. Opt. (2)

M. Mir, M. Ding, Z. Wang, J. Reedy, K. Tangella, and G. Popescu, J. Biomed. Opt. 15, 027016 (2010).
[CrossRef] [PubMed]

D. J. Cuccia, F. Bevilacqua, A. J. Durkin, F. R. Ayers, and B. J. Tromberg, J. Biomed. Opt. 14, 024012 (2009).
[CrossRef] [PubMed]

Opt. Express (2)

Opt. Lett. (4)

Phys. Rev. Lett. (1)

H. F. Ding, Z. Wang, F. Nguyen, S. A. Boppart, and G. Popescu, Phys. Rev. Lett. 101, 238102 (2008).
[CrossRef] [PubMed]

Proc. Natl. Acad. Sci. USA (2)

Y. K. Park, M. Diez-Silva, G. Popescu, G. Lykotrafitis, W. Choi, M. S. Feld, and S. Suresh, Proc. Natl. Acad. Sci. USA 105, 13730 (2008).
[CrossRef] [PubMed]

Y. K. Park, C. A. Best, K. Badizadegan, R. R. Dasari, M. S. Feld, T. Kuriabova, M. L. Henle, A. J. Levine, and G. Popescu, Proc. Natl. Acad. Sci. USA 107, 6731 (2010).
[CrossRef] [PubMed]

Other (5)

Z. Wang, K. Tangella, A. Balla, and G. Popescu, “Tissue refractive index as marker of disease,” Proc. Natl. Acad. Sci. USA, submitted for publication.

A.Wax and V.Backman, eds., Biomedical Applications of Light Scattering (McGraw-Hill, 2010).

G. Popescu, in Methods in Cell Biology, B.P.Jena, ed. (Academic, 2008) p. 87–115.
[CrossRef]

C. Depeursinge, in Digital Holography and Three-Dimensional Display, T.-C.Poon, ed. (Springer U.S., 2006), p. 98–143.

V. V. Tuchin, Tissue Optics: Light Scattering Methods and Instruments for Medical Diagnosis (SPIE, 2007).

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Figures (3)

Fig. 1
Fig. 1

(a) Imaging of a human prostate biopsy by SLIM and (b) H&E staining. Color bar indicates path length in nanometers (to enhance details in the inset, many pixels are saturated at 60 nm ). The insets show details of a normal gland, and arrows indicate epithelial cells. (c), (d) Error estimation due to limited NA: error in power versus NA and g (c); error in g versus NA and g (d).

Fig. 2
Fig. 2

Maps of (a) ϕ, (b)  l s , and (c) g for a tissue slice across an entire rat liver; the g map is thresholded to show g = 0 for background. Color bars show ϕ, l s and g, as indicated.

Fig. 3
Fig. 3

(a), (b) Histograms of l s (a) and g (b) for rat liver and heart tissues. The faint lines indicate different measurements and thick lines show their averages. (c), (d) Evolution of the mode distributions associated with l s (c) and g (d) for heart and liver, as indicated. Error bars show the standard deviation of measurements on three specimens.

Equations (3)

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

l s = L Δ ϕ 2 ( r ) r , g = 1 ( l s L ) 2 | [ ϕ ( r ) ] | 2 r 2 k 0 2 .
Δ P ( NA , g ) = 1 1 NA 2 1 P ( cos θ ) d cos θ ,
Δ g ( NA , g ) = 1 1 NA 2 1 cos θ P ( cos θ ) d cos θ ,

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