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

Date

2012

Authors

Li (Lee), Chaohong
Xie, Qiongtao

Journal Title

Journal ISSN

Volume Title

Publisher

American Physical Society

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.

Description

Keywords

Keywords: Bloch waves; Finite number; In-gap state; Lattice system; Parametric dependence; Stable surfaces; Interface states; Superlattices; Surface states

Citation

Source

Physical Review A: Atomic, Molecular and Optical Physics

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1103/PhysRevA.85.063802

Restricted until

2037-12-31