TY - JOUR
T1 - Finite-superposition solutions for surface states in a type of photonic superlattice
AU - Xie, Qiongtao
AU - Lee, Chaohong
PY - 2012/6/4
Y1 - 2012/6/4
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=84861839740&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.85.063802
DO - 10.1103/PhysRevA.85.063802
M3 - Article
SN - 1050-2947
VL - 85
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 6
M1 - 063802
ER -