Embedded States in the Continuum for PT-Symmetric Systems

Mario I. Molina; Yuri S. Kivshar

doi:10.1111/sapm.12058

Embedded States in the Continuum for PT-Symmetric Systems

Mario I. Molina^*, Yuri S. Kivshar

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

9 Citations (Scopus)

Abstract

We introduce the novel concept of a bound state in the continuum (BIC) for a binary lattice satisfying the PT-symmetry condition. We show how to build such state and the local potential necessary to sustain it. We find that an appropriate choice of the envelope function can bring the system from a PT-symmetric phase into a Hermitian one. For more general envelope functions, the BIC can still be created but the bounded state will force the system to undergo the PT-symmetry breaking transition.

Original language	English
Pages (from-to)	337-350
Number of pages	14
Journal	Studies in Applied Mathematics
Volume	133
Issue number	3
DOIs	https://doi.org/10.1111/sapm.12058
Publication status	Published - 1 Oct 2014

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Embedded States in the Continuum for PT-Symmetric Systems

Abstract

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