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Phys. Rev. Lett. 100, 103904 (2008) [4 pages]

Beam Dynamics in PT Symmetric Optical Lattices

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K. G. Makris, R. El-Ganainy, and D. N. Christodoulides
College of Optics & Photonics-CREOL, University of Central Florida, Orlando, Florida 32816, USA

Z. H. Musslimani
Department of Mathematics, Florida State University, Tallahassee, Florida 32306-4510, USA

Received 5 June 2007; revised 9 October 2007; published 13 March 2008

The possibility of parity-time (PT) symmetric periodic potentials is investigated within the context of optics. Beam dynamics in this new type of optical structures is examined in detail for both one- and two-dimensional lattice geometries. It is shown that PT periodic structures can exhibit unique characteristics stemming from the nonorthogonality of the associated Floquet-Bloch modes. Some of these features include double refraction, power oscillations, and eigenfunction unfolding as well as nonreciprocal diffraction patterns.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.103904
DOI:
10.1103/PhysRevLett.100.103904
PACS:
42.25.Bs, 11.30.Er, 42.82.Et