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arXiv · 1607.07984

On Stability of Flat Band Modes in a Rhombic Nonlinear Optical Waveguide Array

Andrey I. Maimistov
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Abstract

The quasi-one-dimensional rhombic array of the waveguides is considered. In the nonlinear case the system of equations describing coupled waves in the waveguides has the solutions that represent the superposition of the flat band modes. The property of stability of these solutions is considered. It was found that the flat band solution is unstable until the power threshold be attained.

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Andrey I. Maimistov. 2016-07-27. On Stability of Flat Band Modes in a Rhombic Nonlinear Optical Waveguide Array. https://doi.org/10.1088/2040-8986%2Faa58fb

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