Abbreviated Journal Title
Phys. Rev. A
Keywords
COMPLEX PERIODIC POTENTIALS; NON-HERMITIAN HAMILTONIANS; REAL; EIGENVALUES; CRYSTALS; DIFFRACTION; EQUATION; SPECTRA; WAVES; LIGHT; Optics; Physics, Atomic, Molecular & Chemical
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.
Journal Title
Physical Review A
Volume
81
Issue/Number
6
Publication Date
1-1-2010
Document Type
Article
Language
English
First Page
10
WOS Identifier
ISSN
1050-2947
Recommended Citation
Makris, Konstantinos G.; El-Ganainy, Ramy; Christodoulides, Demetrios N.; and Musslimani, Z. H., "PT-symmetric optical lattices" (2010). Faculty Bibliography 2010s. 493.
https://stars.library.ucf.edu/facultybib2010/493
Comments
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