Beam Dynamics in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:math>Symmetric Optical Lattices
Konstantinos G. MakrisCollege of Optics & Photonics-CREOL, University of Central Florida, Orlando, Florida 32816, USARamy El‐GanainyCollege of Optics & Photonics-CREOL, University of Central Florida, Orlando, Florida 32816, USAD.N. ChristodoulidesCollege of Optics & Photonics-CREOL, University of Central Florida, Orlando, Florida 32816, USAZiad H. MusslimaniCollege of Optics & Photonics-CREOL, University of Central Florida, Orlando, Florida 32816, USA
2008lv
ABI
Abstract
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.
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