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Modes of Periodic Waveguides

J. A. Besley, N. N. Akhmediev, and P. D. Miller
Australian Photonics Cooperative Research Centre
Optical Sciences Centre
Research School of Physical Sciences and Engineering
The Australian National University, Canberra ACT 0200 Australia


We calculate exactly the two bound Floquet modes of a periodic linear waveguide induced in a medium by a second-order soliton of the nonlinear Schrödinger equation. The modes are degenerate at the writing frequency, having the same quasi-propagation constant, which suggests applications of our method to spectral filtering.