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Floquet defect solitons

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Abstract

We consider an array of straight nonlinear waveguides constituting a two-dimensional square lattice, with a few central layers tilted with respect to the rest of the structure. It is shown that such a configuration represents a line defect in the lattice plane, which is periodically modulated along the propagation direction. In the linear limit, such a system sustains line defect modes, whose number coincides with the number of tilted layers. In the presence of nonlinearity, the branches of defect solitons propagating along the defect line bifurcate from each of the linear defect modes. Depending on the effective dispersion induced by the Floquet spectrum of the system, the bifurcating solitons can be either bright or dark. Dynamics and stability of such solitons are studied numerically.

© 2021 Optical Society of America

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Supplementary Material (3)

NameDescription
Supplement 1       Supplementary materials.
Visualization 1       Propagation a bright embedded defect soliton in structure with five tilted layers.
Visualization 2       Interaction of bright defect soliton with the defect in the form of missing waveguide.

Data Availability

Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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Equations (2)

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