We built a polarization-sensitive optical coherence tomographic system and measured the two-dimensional depth-resolved full 4 3 4 Mueller matrix of biological tissue for what is believed to be the f irst time. The Mueller matrix measurements, which we made by varying the polarization states of the light source and the detector, yielded a complete characterization of the polarization property of the tissue sample. The initial experimental results indicated that this new approach reveals some tissue structures that are not perceptible in standard optical coherence tomography. © 1999 Optical Society of America OCIS codes: 120.2130, 170.4500, 260.5430, 290.7050. Optical coherence tomography 1 (OCT) is a noninvasive noncontact imaging technique that can provide high-resolution cross-sectional images of biological tissues. High spatial resolution ͑,2 mm͒ and high scanning speed (video rate) have been achieved over the past few years.
2,3Recently, polarizationsensitive measurements with OCT have received much attention. 4 -6 Results of these studies revealed the importance of polarization as a contrast mechanism. In general, the polarization property of biological tissue is very complicated and cannot be assumed to be linearly birefringent with a fixed fast axis. 4,5 As is known in polarimetry, Stokes vectors and Mueller matrices 7 provide complete representations of polarization properties of light and optical samples, respectively. In this Letter we describe a novel polarization-sensitive OCT system for measuring the full 4 3 4 Mueller matrix of biological tissue with both depth and lateral resolution.The Stokes vector S of a light beam is based on six f lux measurements with different analyzers in front of the detector: ± ͒ linear polarizer, a right-circular analyzer, and a left-circular analyzer in front of the detector, respectively. The superscript T transposes the row vector into a column vector. Because of the relationships H 1 V P 1 M R 1 L, a Stokes vector can be determined by four independent measurements. The Mueller matrix of a sample transforms an incident Stokes vector into the corresponding output Stokes vector. In other words, the Mueller matrix fully characterizes the polarization property of the sample. In the experiment, the Mueller matrix is obtained by measurements with different combinations of polarizers and analyzers. A total of at least 16 intensity measurements are required for a full Mueller matrix.In an OCT system, the interference signal generated by the light beams from the reference arm and the sample arm iswhere E s denotes the sample electric field; E r, A denotes the reference electric field with a polarization state of A; l s and l r are the optical path lengths of the sample arm and the reference arm, respectively; I s, A denotes the light intensity of the sample arm projected onto the polarization state of A; I r, A denotes the light intensity of the reference arm with the polarization state of A; V is the temporal coherence function of the field; Dl represents the path-leng...