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TE Mode Mixing Dynamics in Curved Multimode Optical Waveguides

Published online by Cambridge University Press:  20 August 2015

Emmanuel Perrey-Debain  and
I. David Abrahams
Emmanuel Perrey-Debain*
Affiliation:
Laboratoire Roberval, Université de Technologie de Compiègne 60205 Compiègne BP 20529, France
I. David Abrahams*
Affiliation:
School of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, England, U.K
*
*Corresponding author.Email:emmanuel.perrey-debain@utc.fr
*Corresponding author.Email:emmanuel.perrey-debain@utc.fr
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Abstract

Propagation of light through curved graded index optical waveguides supporting an arbitrary high number of modes is investigated. The discussion is restricted to optical wave fields which are well confined within the core region and losses through radiation are neglected. Using coupled mode theory formalism, two new forms for the propagation kernel for the transverse electric (TE) wave as it travels along a curved two-dimensional waveguide are presented. One form, involving the notion of “bend” modes, is shown to be attractive from a computational point of view as it allows an efficient numerical evaluation of the optical field for sharply bent waveguides.

Keywords

42.82.Et42.81.QbCurved waveguidesCoupled Mode Theoryharmonic oscillator
Type
Research Article
Information
Communications in Computational Physics , Volume 11 , Issue 2 , February 2012 , pp. 525 - 540
Copyright
Copyright © Global Science Press Limited 2012

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