Optical Solitons 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>Periodic Potentials
Ziad H. MusslimaniDepartment of Mathematics, Florida State University, Tallahassee, FL 32306-4510, USAKonstantinos G. MakrisDepartment of Mathematics, Florida State University, Tallahassee, Florida 32306-4510, USARamy El‐GanainyDepartment of Mathematics, Florida State University, Tallahassee, Florida 32306-4510, USADemetrios N. ChristodoulidesDepartment of Mathematics, Florida State University, Tallahassee, Florida 32306-4510, USA
2008lv
ABI
Annotatsiya
We investigate the effect of nonlinearity on beam dynamics in parity-time (PT) symmetric potentials. We show that a novel class of one- and two-dimensional nonlinear self-trapped modes can exist in optical PT synthetic lattices. These solitons are shown to be stable over a wide range of potential parameters. The transverse power flow within these complex solitons is also examined.
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