Finite-superposition solutions for surface states in a type of photonic superlattice

Qiongtao Xie*, Chaohong Lee

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    5 Citations (Scopus)

    Abstract

    We develop an efficient method to derive a class of surface states in photonic superlattices. In a kind of infinite bichromatic superlattice satisfying some specific conditions, we obtain a finite portion of their in-gap states, which are superpositions of finite numbers of their unstable Bloch waves. By using these unstable in-gap states, we construct exactly several stable surface states near various interfaces in photonic superlattices. We analytically explore the parametric dependence of these exact surface states. Our analysis provides an exact demonstration for the existence of surface states and would be also helpful to understand surface states in other lattice systems.

    Original languageEnglish
    Article number063802
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume85
    Issue number6
    DOIs
    Publication statusPublished - 4 Jun 2012

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