2006
DOI: 10.1364/josaa.23.000679
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Differential geometry of normalized Stokes vector trajectories in anisotropic media

Abstract: Trajectory of the normalized Stokes vector on the Poincaré sphere corresponding to light propagation in anisotropic tissues with birefringence and biattenuance is derived. Analytic expressions are determined from the Serret-Frenet formulas and derivatives of arc length for five quantities including the tangent, normal, and binormal vectors with curvature and torsion. Depth variation of curvature and torsion of normalized Stokes vector trajectories corresponding to light propagating in rodent tail tendon are gi… Show more

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Cited by 14 publications
(24 citation statements)
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“…A method to overcome the latter limitation for retinal PS-OCT has been developed to remove the impact of corneal birefringence on birefringence measurements in the back of the eye [57]. Nevertheless, for applications such as PS-OCT in samples with strongly varying birefringent fiber orientations or for many approaches based on single-mode fiber optics, implementations based on multiple polarization states can provide access to Stokes vector quantification, Jones matrix characterization, and Müller matrix measurements [15][16][17][35][36][37][38][58][59][60][61][62][63].…”
Section: Ps-oct Based On Multiple Input Statesmentioning
confidence: 99%
“…A method to overcome the latter limitation for retinal PS-OCT has been developed to remove the impact of corneal birefringence on birefringence measurements in the back of the eye [57]. Nevertheless, for applications such as PS-OCT in samples with strongly varying birefringent fiber orientations or for many approaches based on single-mode fiber optics, implementations based on multiple polarization states can provide access to Stokes vector quantification, Jones matrix characterization, and Müller matrix measurements [15][16][17][35][36][37][38][58][59][60][61][62][63].…”
Section: Ps-oct Based On Multiple Input Statesmentioning
confidence: 99%
“…Briefly, in the absence of diattenuation, 31 when light propagates through a uniform birefringent layer, the trajectory of normalized Stokes vectors of backscattered light rotates about an eigen-axis on the Poincaré sphere. Effect of polarization transformations in the SMF causes a rotation of the eigen-axis away from the equator of the Poincaré sphere.…”
Section: Polarization Processingmentioning
confidence: 99%
“…Effect of polarization transformations in the SMF causes a rotation of the eigen-axis away from the equator of the Poincaré sphere. 17,31,32 If the SMF remains stable while switching between incident polarization states, equivalent transformations of three incident polarization states are produced giving three arcs on the Poincaré sphere with a common rotation axis. Starting from two orthogonal channels' signal amplitude and phase difference (Box 1 in Fig.…”
Section: Polarization Processingmentioning
confidence: 99%
“…To determine estimates of RNFL phase retardation and birefringence, 200 A-scans in a clustered region were averaged to obtain an accurate estimate of phase retardation using a numerical algorithm described previously. 16,18 The Stokes vectors for each of the three input polarization states were calculated from the two collected polarization channels. Stokes vectors were computed in the segmented region between the upper and lower RNFL boundaries.…”
Section: Polarimetric Data Analysismentioning
confidence: 99%