The geometric rotation of the polarization angle in a ideal cylindrical optical fiber without birefringence is obtained for arbitrary fiber paths in terms of the image of the path in the tangent vector space. The result extends a recent result of Chiao and Wu [Phys. Rev. Lett. 57, 933 (1986)] restricted to paths with parallel ends, which was derived from Berry’s phase in the adiabatic limit of quantum mechanics [Proc. R. Soc. London Ser. A 392, 45 (1984)]. The treatment given here is purely classical and uses differential geometry to extend earlier work by Ross [Opt. Quantum Electron. 16, 455 (1984)] on the uniform helix.
© 1986 Optical Society of America
Original Manuscript: May 5, 1986
Manuscript Accepted: August 12, 1986
Published: November 1, 1986
F. D. M. Haldane, "Path dependence of the geometric rotation of polarization in optical fibers," Opt. Lett. 11, 730-732 (1986)