Commun. Comput. Phys., 11 (2012), pp. 525-540.

TE Mode Mixing Dynamics in Curved Multimode Optical Waveguides

Emmanuel Perrey-Debain 1*, I. David Abrahams 2

1 Laboratoire Roberval, Universite de Technologie de Compiegne 60205 Compiegne BP 20529, France.
2 School of Mathematics, University of Manchester, Oxford Road, Manchester, M13 9PL, England, U.K.

Received 21 December 2009; Accepted (in revised version) 20 July 2010
Available online 24 October 2011


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.

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PACS: 42.82.Et, 42.81.Qb
Key words: Curved waveguides, Coupled Mode Theory, harmonic oscillator.

*Corresponding author.
Email: (E. Perrey-Debain)

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