Topological Zeeman effect and circular birefringence in twisted photonic crystal fibers

Weiss, T., Wong, G.K.L., Biancalana, F., Barnett, S.M. , Xi, X.M. and St. J Russell, P. (2013) Topological Zeeman effect and circular birefringence in twisted photonic crystal fibers. Journal of the Optical Society of America B: Optical Physics, 30(11), pp. 2921-2927. (doi: 10.1364/JOSAB.30.002921)

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Abstract

The propagation of light guided in optical fibers is affected in different ways by bending or twisting. Here we treat the polarization properties of twisted six-fold symmetric photonic crystal fibers. Using a coordinate frame that follows the twisting structure, we show that the governing equation for the fiber modes resembles the Pauli equation for electrons in weak magnetic fields. This implies index splitting between left and right circularly polarized modes, which are degenerate in the untwisted fiber. We develop a theoretical model, based on perturbation theory and symmetry properties, to predict the observable circular birefringence (i.e., optical activity) associated with this splitting. Our overall conclusion is that optical activity requires the rotational symmetry to be broken so as to allow coupling between different total angular momentum states.

Item Type:Articles
Additional Information:This paper was published in Journal of the Optical Society of America B: Optical Physics and is made available as an electronic reprint with the permission of OSA. The paper can be found at the following URL on the OSA website: http://dx.doi.org/10.1364/JOSAB.30.002921. Systematic or multiple reproduction or distribution to multiple locations via electronic or other means is prohibited and is subject to penalties under law.
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Barnett, Professor Stephen
Authors: Weiss, T., Wong, G.K.L., Biancalana, F., Barnett, S.M., Xi, X.M., and St. J Russell, P.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Journal of the Optical Society of America B: Optical Physics
Publisher:Optical Society of America
ISSN:0740-3224
ISSN (Online):1520-8540
Copyright Holders:Copyright © 2013 Optical Society of America
First Published:First published in Journal of the Optical Society of America B: Optical Physics 30(11):2921-2927
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
549871Challenges in Orbital Angular MomentumMiles PadgettEngineering & Physical Sciences Research Council (EPSRC)EP/I012451/1P&A - PHYSICS & ASTRONOMY