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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics

| EXPLORING THE INTERFACE OF LIGHT AND BIOMEDICINE

  • Editor: Gregory W. Faris
  • Vol. 1, Iss. 4 — Apr. 12, 2006

Differential geometry of normalized Stokes vector trajectories in anisotropic media

Jesung Park, Nate J. Kemp, Haitham N. Zaatari, H. Grady Rylander, III, and Thomas E. Milner  »View Author Affiliations


JOSA A, Vol. 23, Issue 3, pp. 679-690 (2006)
http://dx.doi.org/10.1364/JOSAA.23.000679


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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 given. Use of analytic expressions for depth variation of curvature and torsion of the normalized Stokes vector trajectories on the Poincaré sphere is discussed for analysis of polarization-sensitive optical coherence tomography data recorded from anisotropic biological tissues with birefringence and biattenuance.

© 2006 Optical Society of America

OCIS Codes
(030.6140) Coherence and statistical optics : Speckle
(170.4500) Medical optics and biotechnology : Optical coherence tomography
(260.1440) Physical optics : Birefringence
(260.5430) Physical optics : Polarization

ToC Category:
Physical Optics

History
Original Manuscript: April 28, 2005
Manuscript Accepted: August 10, 2005

Virtual Issues
Vol. 1, Iss. 4 Virtual Journal for Biomedical Optics

Citation
Jesung Park, Nate J. Kemp, Haitham N. Zaatari, H. Grady Rylander III, and Thomas E. Milner, "Differential geometry of normalized Stokes vector trajectories in anisotropic media," J. Opt. Soc. Am. A 23, 679-690 (2006)
http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=josaa-23-3-679

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