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arXiv · 1406.1860

Critical States Embedded in the Continuum

M. Koirala·A. Yamilov·A. Basiri·Y. Bromberg·H. Cao·T. Kottos
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Abstract

We introduce a class of critical states which are embedded in the continuum (CSC) of one-dimensional optical waveguide array with one non-Hermitian defect. These states are at the verge of being fractal and have real propagation constant. They emerge at a phase transition which is driven by the imaginary refractive index of the defect waveguide and it is accompanied by a mode segregation which reveals analogies with the Dicke super -radiance. Below this point the states are extended while above they evolve to exponentially localized modes. An addition of a background gain or loss can turn these localized states to bound states in the continuum.

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M. Koirala, A. Yamilov, A. Basiri, Y. Bromberg, H. Cao, T. Kottos. 2014-06-07. Critical States Embedded in the Continuum. https://doi.org/10.1088/1367-2630%2F17%2F1%2F013003

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