Abstract

We proposed a method to extract depth-resolved local retardance in birefringent samples from conventional polarization-sensitive optical coherence tomography (PSOCT) that uses one circularly polarized incident light. Despite the wide use of such PSOCT systems in characterizing birefringent samples, the measured cumulative retardance does not represent the true cumulative retardance when optical axis varies with depth. A Jones calculus based algorithm was designed to derive the local depth-resolved retardance from conventional cumulative PSOCT results. The algorithm was tested in samples with homogeneous optical axis as well as samples with depth-dependent optical axis.

© 2012 Optical Society of America

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2007 (2)

M. Pircher, E. Götzinger, B. Baumann, and C. K. Hitzenberger, J. Biomed. Opt. 12, 041210 (2007).
[CrossRef]

D. Stifter, Appl. Phys. B 88, 337 (2007).
[CrossRef]

2005 (2)

2004 (1)

2003 (1)

2002 (2)

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

J. F. de Boer and T. E. Milner, J. Biomed. Opt. 7, 359 (2002).
[CrossRef]

2001 (1)

1999 (1)

1992 (1)

M. R. Hee, D. Huang, E. A. Swanson, and J. G. Fujimoto, J. Opt. Soc. Am B 9, 903 (1992).
[CrossRef]

1941 (1)

Baumann, B.

M. Pircher, E. Götzinger, B. Baumann, and C. K. Hitzenberger, J. Biomed. Opt. 12, 041210 (2007).
[CrossRef]

Cense, B.

Chen, Z.

De Boer, J. F.

Fan, C.

C. Fan and G. Yao, IEEE Tran Biomedical Engineering 57, 2556 (2010).
[CrossRef]

C. Fan and G. Yao, Opt. Express 18, 7281 (2010).
[CrossRef]

Fercher, A. F.

Fujimoto, J. G.

M. R. Hee, D. Huang, E. A. Swanson, and J. G. Fujimoto, J. Opt. Soc. Am B 9, 903 (1992).
[CrossRef]

Götzinger, E.

M. Pircher, E. Götzinger, B. Baumann, and C. K. Hitzenberger, J. Biomed. Opt. 12, 041210 (2007).
[CrossRef]

C. K. Hitzenberger, E. Götzinger, M. Sticker, M. Pircher, and A. F. Fercher, Opt. Express 9, 780 (2001).
[CrossRef]

Guo, S.

Hee, M. R.

M. R. Hee, D. Huang, E. A. Swanson, and J. G. Fujimoto, J. Opt. Soc. Am B 9, 903 (1992).
[CrossRef]

Hitzenberger, C. K.

M. Pircher, E. Götzinger, B. Baumann, and C. K. Hitzenberger, J. Biomed. Opt. 12, 041210 (2007).
[CrossRef]

C. K. Hitzenberger, E. Götzinger, M. Sticker, M. Pircher, and A. F. Fercher, Opt. Express 9, 780 (2001).
[CrossRef]

Huang, D.

M. R. Hee, D. Huang, E. A. Swanson, and J. G. Fujimoto, J. Opt. Soc. Am B 9, 903 (1992).
[CrossRef]

Hurwitz, H.

Jiao, S.

Jones, R.

Kemp, N.

Makita, S.

Milner, T.

Milner, T. E.

J. F. de Boer and T. E. Milner, J. Biomed. Opt. 7, 359 (2002).
[CrossRef]

Nelson, J. S.

Park, B. H.

Park, J.

Pierce, M. C.

Pircher, M.

M. Pircher, E. Götzinger, B. Baumann, and C. K. Hitzenberger, J. Biomed. Opt. 12, 041210 (2007).
[CrossRef]

C. K. Hitzenberger, E. Götzinger, M. Sticker, M. Pircher, and A. F. Fercher, Opt. Express 9, 780 (2001).
[CrossRef]

Rylander, H.

Sticker, M.

Stifter, D.

D. Stifter, Appl. Phys. B 88, 337 (2007).
[CrossRef]

Stoica, G.

Swanson, E. A.

M. R. Hee, D. Huang, E. A. Swanson, and J. G. Fujimoto, J. Opt. Soc. Am B 9, 903 (1992).
[CrossRef]

Wang, L.

Wang, L. V.

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

Yamanari, M.

Yao, G.

Yasuno, Y.

Yu, W.

Zaatari, H.

Zhang, J.

Appl. Opt. (1)

Appl. Phys. B (1)

D. Stifter, Appl. Phys. B 88, 337 (2007).
[CrossRef]

IEEE Tran Biomedical Engineering (1)

C. Fan and G. Yao, IEEE Tran Biomedical Engineering 57, 2556 (2010).
[CrossRef]

J. Biomed. Opt. (3)

M. Pircher, E. Götzinger, B. Baumann, and C. K. Hitzenberger, J. Biomed. Opt. 12, 041210 (2007).
[CrossRef]

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

J. F. de Boer and T. E. Milner, J. Biomed. Opt. 7, 359 (2002).
[CrossRef]

J. Opt. Soc. Am B (1)

M. R. Hee, D. Huang, E. A. Swanson, and J. G. Fujimoto, J. Opt. Soc. Am B 9, 903 (1992).
[CrossRef]

J. Opt. Soc. Am. (1)

Opt. Express (4)

Opt. Lett. (3)

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Figures (5)

Fig. 1.
Fig. 1.

Simulated PSOCT measurements in (a) and (b) a series of retarders of constant optical axis, and (c) and (d) linearly changing optical axis.

Fig. 2.
Fig. 2.

PSOCT images of a piece of tendon sample. (a) Intensity I; (b) cumulative retardance δ; (c) optical axis θ; (d) differential retardance; (e) pseudo local optical axis; (f) local retardance.

Fig. 3.
Fig. 3.

A-scan data extracted along the dashed line in Fig. 2. (a) The cumulative retardance and optical axis. (b) The differential retardance and local.

Fig. 4.
Fig. 4.

PSOCT images of a plastic sample. (a) Intensity I; (b) Cumulative retardance δ; (c) optical axis θ; (d) differential retardance; (e) pseudo local optical axis; (f) local retardance.

Fig. 5.
Fig. 5.

A-scan data extracted from the long dashed line (a) and( b) and short dashed line (c) and (d) in Fig. 4.

Equations (9)

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δ=tan1(|H|/|V|);θ=0.5tan1[Im(H×V*)/Re(H×V*)],
[HV]=12[1ii1][(JnJn1J1)T(JnJn1J1)][1ii1][10].
Ji=JL(αi,δi)=R(αi)Λ(δi)R(αi),
R(αi)=(cosαisinαisinαicosαi),Λ(δi)=(eiδi/200eiδi/2).
JnJn1J1=R(ϕn)R(βn)Λ(κn)R(βn)=R(ϕn)JL(βn,κn),
Mrn=(JnJn1J1)TJnJn1J1=JL(βn,2κn).
Mrn+1=[R(ϕn)JL(βn,κn)]TJn+1TJn+1[R(ϕn)JL(βn,κn)]=JL(βn,κn)[R(ϕn)Jn+1TJn+1R(ϕn)]JL(βn,κn).
Nrn+1=JL1(βn,κn)Mrn+1JL1(βn,κn)=R(ϕn)Jn+1TJn+1R(ϕn).
δn+1=12|tan1Im(λ1·λ2*)Re(λ1·λ2*)|,θn+1=12tan1[Nrn+1(1,2)+Nrn+1(2,1)Nrn+1(1,1)Nrn+1(2,2)],

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