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arXiv · 1401.7380

Bulk and surface bound states in the continuum

N. A. Gallo·M . I. Molina
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Abstract

We examine bulk and surface bound states in the continuum (BIC) that is, square-integrable, localized modes embedded in the linear spectral band of a discrete lattice including interactions to first-and second nearest neighbors. We suggest an efficient method for generating such modes and the local bounded potential that supports the BIC, based on the pioneering Wigner-von Neumann concept. It is shown that the bulk and surface embedded modes are structurally stable and that they decay faster than a power law at long distances from the mode center.

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N. A. Gallo, M . I. Molina. 2014-01-29. Bulk and surface bound states in the continuum. https://doi.org/10.1088/1751-8113/48/4/045302

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