Critical States Embedded in the Continuum
Disordered Systems and Neural Networks
2015-06-19 v1 Mesoscale and Nanoscale Physics
Optics
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.
Cite
@article{arxiv.1406.1860,
title = {Critical States Embedded in the Continuum},
author = {M. Koirala and A. Yamilov and A. Basiri and Y. Bromberg and H. Cao and T. Kottos},
journal= {arXiv preprint arXiv:1406.1860},
year = {2015}
}
Comments
4.5 pages, 3 figures, 1 page of supplementary material including one figure