Abstract

A unique feature of polarization-sensitive Mueller optical coherence tomography is that, by measuring Jones or Mueller matrices, it can reveal the complete polarization properties of biological samples, even in the presence of diattenuation. We map local polarization properties for the first time to our knowledge by using polar decomposition in combination with least-squares fitting to differentiate measured integrated Jones matrices with respect to depth. We also introduce the new concept of dual attenuation coefficients to characterize diattenuation per unit infinitesimal length in tissues. We experimentally verify the algorithm using measurements of a section of porcine tendon and the septum of a rat heart.

© 2004 Optical Society of America

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2003

2002

2000

1997

1992

1987

J. J. Gil and E. Bernabeu, Optik 76, 67 (1987).

1979

D. D. Streeter, in Handbook of Physiology: The Cardiovascular System (American Physiological Society, Bethesda, Maryland, 1979), pp. 61–112.

Bernabeu, E.

J. J. Gil and E. Bernabeu, Optik 76, 67 (1987).

Cense, B.

Chen, Z.

de Boer, J. F.

Ding, Z.

Fujimoto, J. G.

Gil, J. J.

J. J. Gil and E. Bernabeu, Optik 76, 67 (1987).

Hee, M. R.

Huang, D.

Jiao, S.

S. Jiao, W. Yu, G. Stoica, and L. V. Wang, Opt. Lett. 28, 1206 (2003).
[CrossRef] [PubMed]

S. Jiao and L. V. Wang, Opt. Lett. 27, 101 (2002).
[CrossRef]

S. Jiao and L. V. Wang, J. Biomed. Opt. 7, 350 (2002).
[CrossRef] [PubMed]

S. Jiao, G. Yao, and L. V. Wang, Appl. Opt. 39, 6318 (2000).
[CrossRef]

S. Jiao, M. Todorović, G. Stoica, and L. V. Wang submitted a paper called “Fiber-based polarization-sensitive Mueller-matrix optical coherence with continuous source-polarization” to Appl. Opt.

Miao, J.

Milner, T. E.

Nelson, J. S.

Park, B. H.

Pierce, M. C.

Ren, H.

Stoica, G.

S. Jiao, W. Yu, G. Stoica, and L. V. Wang, Opt. Lett. 28, 1206 (2003).
[CrossRef] [PubMed]

S. Jiao, M. Todorović, G. Stoica, and L. V. Wang submitted a paper called “Fiber-based polarization-sensitive Mueller-matrix optical coherence with continuous source-polarization” to Appl. Opt.

Streeter, D. D.

D. D. Streeter, in Handbook of Physiology: The Cardiovascular System (American Physiological Society, Bethesda, Maryland, 1979), pp. 61–112.

Swanson, E. A.

Todorovic, M.

S. Jiao, M. Todorović, G. Stoica, and L. V. Wang submitted a paper called “Fiber-based polarization-sensitive Mueller-matrix optical coherence with continuous source-polarization” to Appl. Opt.

van Gemert, M. J. C.

Wang, L. V.

S. Jiao, W. Yu, G. Stoica, and L. V. Wang, Opt. Lett. 28, 1206 (2003).
[CrossRef] [PubMed]

S. Jiao and L. V. Wang, Opt. Lett. 27, 101 (2002).
[CrossRef]

S. Jiao and L. V. Wang, J. Biomed. Opt. 7, 350 (2002).
[CrossRef] [PubMed]

S. Jiao, G. Yao, and L. V. Wang, Appl. Opt. 39, 6318 (2000).
[CrossRef]

S. Jiao, M. Todorović, G. Stoica, and L. V. Wang submitted a paper called “Fiber-based polarization-sensitive Mueller-matrix optical coherence with continuous source-polarization” to Appl. Opt.

Yao, G.

Yu, W.

Zhao, Y.

Appl. Opt.

S. Jiao, M. Todorović, G. Stoica, and L. V. Wang submitted a paper called “Fiber-based polarization-sensitive Mueller-matrix optical coherence with continuous source-polarization” to Appl. Opt.

S. Jiao, G. Yao, and L. V. Wang, Appl. Opt. 39, 6318 (2000).
[CrossRef]

J. Biomed. Opt.

S. Jiao and L. V. Wang, J. Biomed. Opt. 7, 350 (2002).
[CrossRef] [PubMed]

J. Opt. Soc. Am. B

Opt. Lett.

Optik

J. J. Gil and E. Bernabeu, Optik 76, 67 (1987).

Other

D. D. Streeter, in Handbook of Physiology: The Cardiovascular System (American Physiological Society, Bethesda, Maryland, 1979), pp. 61–112.

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Figures (3)

Fig. 1
Fig. 1

Schematic of the Mueller OCT system. PM, polarization modulator; NBS, nonpolarizing beam splitter; PBS, polarizing beam splitter; LP, linear polarizer; DL, delay line; PDH, PDV, photodiodes for horizontal and vertical polarizations, respectively; SLD, superluminescent diode.

Fig. 2
Fig. 2

Retardation images of porcine tendon (a) before differentiation and (b) after differentiation; (c) profiles of averaged phase retardation before and after differentiation; and (d) profiles of averaged slow-axis orientation before and after differentiation. Dimensions of each image are 0.5 mm×0.9 mm width×height.

Fig. 3
Fig. 3

Profiles of muscle-fiber orientation along one A scan obtained from histological images from Mueller OCT after differentiation and before differentiation.

Equations (5)

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

Jemi=Jst1TJsti-1TJrtiJsti-1Jst1,
Jrti=Jsti-1T-1Jst1T-1JemiJst1-1Jsti-1T-1.
Jst=Qx cos2 θ+Qy sin2 θQx-Qysin θ cos θQx-Qysin θ cos θQx sin2 θ+Qy cos2 θ,
S1=i=1,j=12,2Umi,j-Jretarder i,j2,S2=i=1,j=12,2Hmi,j-Jdiattenuator i,j2.
tan 2θ=Um12i+Um21iUm11i-Um22i,cot φ=Um11r+Um22rUm11i-Um22icos2θ+Um12i+Um21isin 2θ,px=Hm11r cos2 θ+Hm22r sin2 θ+Hm12r+Hm21rsin θ cos θ1/2,py=Hm11r sin2 θ+Hm22r cos2 θ-Hm12r+Hm21rsin θ cos θ1/2.

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