
Article
PT-symmetric Optical Lattices
Physical Review A
(2010)
Abstract
The basic properties of Floquet-Bloch (FB) modes in parity-time (PT )-symmetric optical lattices are examined in detail. Due to the parity-time symmetry of such complex periodic potentials, the corresponding FB modes are skewed (nonorthogonal) and nonreciprocal. The conjugate pairs of these FB modes are obtained by reflecting both the spatial coordinate and the Bloch momentum number itself. The orthogonality conditions are analytically derived for a single cell, for both a finite and an infinite lattice. Some of the peculiarities associated with the diffraction dynamics in PT lattices such as nonreciprocity, power oscillations, and phase dislocations, are also examined.
Disciplines
Publication Date
June 4, 2010
Publisher Statement
© 2010 The American Physical Society. Deposited here in compliance with publisher polices. Publisher's version of record: http://dx.doi.org/10.1103/PhysRevA.81.063807
Citation Information
Konstantinos G. Makris, Ramy El-Ganainy, Demetrios N. Christodoulides and Z. H. Musslimani. "PT-symmetric Optical Lattices" Physical Review A Vol. 81 (2010) Available at: http://works.bepress.com/ramy_el-ganainy/17/