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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 69, Iss. 9 — Sep. 1, 1979
  • pp: 1218–1226

Polarization and losses of whispering-gallery waves along twisted trajectories

M. E. Marhic  »View Author Affiliations


JOSA, Vol. 69, Issue 9, pp. 1218-1226 (1979)
http://dx.doi.org/10.1364/JOSA.69.001218


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Abstract

A geometrical optics treatment shows that whispering-gallery waves following twisted trajectories can be in eigenstates of polarization if σ = (radius of curvature × torsion) is a constant. The Jones vectors of these eigenpolarizations are calculated, along with their propagation constants and power attenuation constants. The curve representing the evolution of an arbitrary input polarization makes a constant angle with the circles passing through the points corresponding to the eigenpolarizations, on the Poincaré sphere or in any one of the equivalent complex-plane representations. Experiments carried out with a cylindrical glass tube give results in good agreement with theoretical conclusions. The theory predicts that the smallest attenuation constant for three-dimensional trajectories in infrared and far-infrared guides should be about (1 + σ2) times larger than that for TE waves along two-dimensional trajectories of the same curvature, providing a practical criterion for the design of guides exhibiting twisted trajectories.

© 1979 Optical Society of America

Citation
M. E. Marhic, "Polarization and losses of whispering-gallery waves along twisted trajectories," J. Opt. Soc. Am. 69, 1218-1226 (1979)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-69-9-1218

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