光學同調斷層掃描術（Optical Coherence Tomography）是以低同調干涉儀為基礎的光學造影技術，其可有效對樣品提供非侵入式之微米級橫截面影像。在先前的研究中，已經發展了使用光學同調斷層掃描的技術進行厚度與折射係數的量測，接著並發展出新型偏極化光學同調斷層掃描術（Polarization-Sensitive OCT），此系統能延伸量測材料的雙折射特性如：明顯相位延遲、光軸方位參數。而本研究提出若能再結合穆勒矩陣(Mueller Matrix)量測於偏極化光學同調斷層掃描術，定義出材料本身的穆勒矩陣和史托克參數，將可拓展非等向性材料至更全面性之檢測。

　　在本研究中，我們結合史托克參數或穆勒矩陣之量測於偏極化光學同調斷層掃描儀發展出一種新技術，使能藉由量測所得的史托克參數或穆勒矩陣，演算得出光學非等向性材料之光學參數；此量測技術搭配可應用於線性雙折射、旋性雙折射、以及旋性雙向衰減此三種重要非等向性特性所結合的材料數學模型，能成功解出主軸角度(α)、相位延遲(β)、以及旋光角(γ)、旋性雙衰減（R）此四個非等向性材料之參數。

　　整體而言，此研究拓展了偏極化光學同調斷層掃描術，使其不單能量測線性雙折射材料，也可應用數學模型將可量得之參數延伸至旋性雙折射、旋性雙向衰減材料之結合。因此，此光學同調斷層掃描術對於應用在相關光電產業，生醫組織於深入研究量測光學材料之多項光學參數將提供有力工具。

Optical coherence tomography (OCT) based on the low coherence interferometry (LCI) is a powerful technique for performing in-depth cross-sectional imaging in scattering media for the resolution of micrometer without invasion. In earlier research, there have been reports of the measurement of refractive index (n) and thickness (t) by use of OCT, and subsequently, the polarization-sensitive OCT (PSOCT) for measurements in apparent phase retardation and optical axis orientation has been established. With the
combination of Mueller matrix measurements and OCT, one can obtain the more information relative to birefringence and diattenuation of a sample for in-depth cross-sectional scanning within OCT resolution.

The objective of the current study is to develop a new technique of combination of Stoke parameters or Mueller matrix measurements and PS-OCT system to exactly acquire optical parameters of anisotropic materials by specific calculation. Accordingly, the calculation methods to determine: (1) the principal axis angle (α) and retardance (β) for the linear birefringence; (2) optical rotation angle (γ) for the circular birefringence; (3) circular diattenuation (R) for the circular diattenuation are successfully extracted by the analytical model in this study.

As a result, the extended PSOCT system has the capabilities in measuring linear birefringence, circular birefringence, and circular diattenuation according to the proposed analytical model. So, it is believed that this measuring system could be applied in the photoelectric industries and bio-tissues for advanced measurements in various optical parameters

Bouma, B. E. Tearney, G. J., Boppart, S. A., Hee, M. R. Brezinski, M. E., and Fujimoto, J. G., "High-resolution optical coherence tomography imaging using a mode-lock Ti:Al2O3 laser source," Opt. Lett., Vol. 20, pp. 1486-1488, (1995)
Bouma, B. E., Tearney, G. J., Bilinsky, I. P., Golubovic, B., and Fujimoto, J. G., "Self-phase-modulated Kerr-lens mode-locked Cr:forsterite laser source for optical coherence tomography," Opt. Lett., Vol. 21, pp. 1839-1841 (1996).
Bouma, B. E. and Tearney, G. J., Handbook of optical coherence tomography, Marcel Dekker, New York (2002).
Chen, P.C, Lo, Y.L, Yu, T.C, Lin, J.F,and Yang, T.T "Measurement of linear birefringence and diattenuation properties of optical samples using polarimeter and Stokes parameters" Optics Express, Vol. 17, pp.15860-15884 (2009).
Dave, D. P., Akkin, T. and Milner, T. E., "Polarization-maintaining fiber-based optical low-coherence reflectometer for characterization and ranging of birefringence," Opt. Lett., Vol. 28, pp. 1775-1777 (2003).
De Boer, J. F., Milner, T. E., van Gemert, M. J. C., and Nelson, J.S., "Two-dimensional birefringence imaging in biological tissue by polarization-sensitive optical coherence tomography," Opt. Lett., Vol. 22, pp. 934-936 (1997).
De Groot, P., "Chromatic dispersion effects in coherent absolute ranging," Opt. Lett., Vol 17, pp.898-890 (1992).
Drexler, W., Morgner, U., Krtner, F. X., Pitris, C., Boppart, S. A., Li, X. D., Ippen, E. P., and Fujimoto, J. G., "Invivo ultrahigh-resolution optical coherence tomography," Opt. Lett., Vol 24, pp.1221-1223 (1999).
Fercher, A.F., Hitzenberger, C.K., Sticker, M. E., Moreno-Barriuso E., Leitgeb, R., Drexler, W., and Sattmann, H., "A thermal light source technique for optical coherence tomography," Opt. Commun., Vol. 185, pp.57-64 (2000).
Fercher, A. F., Hitzenberger, C. K., Sticker, M., and Zawadzki, R., "Numerical dispersion compensation for partial coherence interferometry and optical coherence tomography," Opt. Express, Vol 9, pp. 610-615 (2001).
Fercher, A. F., Drexler, W., Hitzenberger, C. K., and Lasser, T., "Optical coherence tomography - principles and applications," Rep. Prog. Phys., Vol 66, pp.239-303 (2003).
Fukano, T. and Yamaguchi, I., "Simultaneous measurement of thickness and refractive indices of multiple layers by a low coherence confocal microscope," Opt. Lett., Vol. 21, pp. 1942-1944 (1996).
Goodman, J.W., Statistical optics, New York, NY: John Wiley and Sons (1985).
Haruna, M., Ohmi, M., Mitsuyama, T., Tajiri, H., Maruyama, H., and Hashimoto, M., "Simultaneous measurement of the phase and group indices and thickness of transparent plates by low-coherence interferometry," Opt. Lett., Vol. 23, pp. 966-968 (1998).
Hee, M.R., Huang, D., Swanson, E.A., and Fujimoto, J.G., "Polarization-sensitive low-coherence reflectometer for birefringence characterization and ranging," J. Opt. Soc. Am. B, Vol. 9, pp. 903-908 (1992).
Hitzenberger, C. K., "Measurement of corneal thickness by low-coherence interferometry," Appl. Opt., Vol .31, pp. 6637- (1992).
Hitzenberger, C. K., Baumgartner, A., and Drexle,r W., "Dispersion effects in partical coherence interferometry: Implications for intraocular ranging," Journal of Biomedical optics, Vol. 4, pp. 144-151 (1999).
Hitzenberger, C., Goetzinger, E., Sticker, M., Pircher, M., and Fercher, A., "Measurement and imaging of birefringence and optic axis orientation by phase resolved polarization sensitive optical coherence tomography," Opt. Express, Vol. 9, pp. 780-790 (2001).
Hoeling, B.M., Fernandez, A.D., Haskell, R.C., Huang, E., Myers, W.R., Petersen, D.C., Ungersma, S.E., Wan, G., and Williams, M.E., "An optical coherence microscope for 3-dimensional imaging in developmental biology," Optics Express. Vol. 6, pp. 136-146 (2000).
Izatt, J. A., Hee, M. R., Owen, G. M., Swanson, E. A., and Fujimoto, J. G., "Optical coherence microscopy in scattering media," Opt. Lett. Vol. 19, pp. 590-594 (1994)
Jiao, S. and Wang, L. V. "Two-dimensional depth-resolved Mueller matrix of biological tissue measured with double-beam polarization-sensitive optical coherence tomography" OPTICS LETTERS, Vol. 27, pp.101-103(2002).
Jiao, S. Yu, W. Stoica, G.and Wang, Lihong. V. "Contrast mechanisms in polarization-sensitive Mueller-matrix optical coherence tomography and application in burn imaging" APPLIED OPTICS , Vol. 42, pp. 5191-5197 (2003) .
Jiao, S, and Wang, L.V, "Jones-matrix imaging of biological tissues with quadruple-channel optical coherence tomography" Journal of Biomedical Optics, Vol. 7,pp. 350–358 ( 2002).
Kemp, N. J., Park, J., Zaatari, H. N., Rylander, H. G., and Milner, T. E., "High-sensitivity determination of birefringence in turbid media with enhanced polarization-sensitive optical coherence tomography ," J. Opt. Soc. Am. A , Vol22, pp. 552-560 (2005).
Liao, C.C., Lo, Y. L., and Yeh, C.Y., "Measurement of Multiple Optical Parameters of Birefrigent Sample using Polarization-sensitive Optical Coherence Tomography" Journal of Lightwave Technology", Vol. 27, pp. 483-493 (2009).
Lo, Y. L., Kuo, C. I., Chuang, C.H., and Yan, Z.Z., "Optical coherence tomography system with no high-precision scanning stage and stage controller," Appl. Opt., Vol. 43, pp. 4142-4149, 2004.
Maruyama, H., Inoue, S., Mitsuyama, T., Ohmi, M., and Haruna, M., "Low-coherence interferometer system for the simultaneous measurement of refractive index and thickness," Appl. Opt., Vol. 41, pp. 1315-1322 (2002).
Nishi, H., Itadani, T., Ohmi, M., and Haruna, M. "Tomography-based measurement of refractive index and thickness profiles by the low coherence interferometry," 16th Int'1 conf. Optical Fiber Sensors, Vol. 16, pp. 764-767 (2003).
Oh, J. T. and Kim, S. W., "Polarization-sensitive optical coherence tomography for photoelasticity testing of galss/epoxy composites," Opt. Express, Vol. 11, pp.1669-1676 (2003).
Ohmi, M., ohnishi, Y., Yoden, K., and Haruna, M., "In vitro simultaneous measurement of refractive index and thickness of biological tissue by the low coherence interferometry," IEEE Trans. Biomed. Eng., Vol. 47, pp. 1266-1270 (2000).
Roth, J. E., Kozak, J. A., Yazdanfar, S., Rollins, A. M., and Izatt, J. A., "Simplified method for polarization-sensitive optical coherence tomography," Opt. Lett., Vol. 26, pp. 1069-1071 (2001).
Schoenenberger, K., Colston, B. W., Jr, Maitland, D. J., Da Silva, L. B., and Everett, M. J., "Mapping of birefringence and thermal damage in tissue by sue of polarization-sensitive optical coherence tomography," Appl. Opt., Vol. 37, pp. 6026-6036 (1998).
Sato, M., Wakaki, I., Watanabe, Y., and Tanno, N., "Fundamental characteristics of a synthesized light source for optical coherence tomography," Appl. Opt., Vol. 44, pp. 2471-2481 (2005).
Schmitt, J.M., “Optical coherence tomography (OCT): A Review,” IEEE J. Select. Topics Quantum Electron., vol. 5, pp. 1205–1215 (1999).
Schoenenberger, K., Colston, B. W., Jr, Maitland, D. J., Da Silva, L. B., and Everett, M. J., "Mapping of birefringence and thermal damage in tissue by sue of polarization-sensitive optical coherence tomography," Appl. Opt., Vol. 37, pp. 6026-6036 (1998).
Tearney, G. J., Brezinski, M. E., Southern, J. F., Bouma, B. E., Hee, M. R., and Fujimoto, J. G., "Determination of the refractive index of highly scattering human tissue by optical coherence tomography," Opt. Lett., Vol. 20, pp. 2258-2261 (1995).
Tearney, G. J., Brezinski, M. E., Southern, J. F., Bouma, B. E., Hee, M. R., and Fujimoto, J. G., "Determination of the refractive index of highly scattering human tissue by optical coherence tomography," Opt. Lett. Vol. 20, pp. 2258-2260 (1995).
Tearney, G. J., Bouma, B. E., and Fujimoto, J. G., "High-speed phase- andgroup-delay scanning with a grating-based phase controldelay line," Opt. Lett., Vol. 22, pp. 1811-1813 (1997).
Wiesauer, K., Pircher, M., Goetzinger, E., Hitzenberger, C. K., Engelke, R., Ahrens, G., Gruetzner, G., and Stifter, D., "Transversal ultrahigh-resolution polarizationsensitive optical coherence tomography for strain mapping in materials," Opt. Express, Vol. 14, pp. 5945-5953 (2006)
Yariv, A. and Yeh, P., Optical waves in crystal, John Wiley & Sons, Inc., Ch4 (1984)
Yao, G. and Wang, L. V. "Two-dimensional depth-resolved Mueller matrix characterization of biological tissue by optical coherence tomography" OPTICS LETTERS , Vol. 24, pp. 180-190 (1999)
Yeh, P. and Gu, C., Optics of Liquid Crystal Displays, Ch4., Wiley Interscience, New York (1999)
Youngquist, R. C., Carr, S., and Davies, D. E. N., "Optical coherence-domain reflectometry: a new optical evaluation technique," Opt. Lett., Vol. 12, pp. 158- (1987)
Zhao, Y., Chen, Z., Saxer, C., Xiang, S., de Boer, J. F., and Nelson, J. S., "phase-resolved optical coherence tomography and optical Doppler tomography for imaging blood flow in human skin with fast scanning speed and high velocity sensitivity," Opt. Lett., Vol. 25, pp.114-116 (2000)
Zhang, Y., Sato, M., and Tanno, N., "Resolution improvement in optical coherence tomography by optimal synthesis of light-emitting diodes," Opt. Lett., Vol. 26, pp. 205-207 (2001)