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Selected Works

Ramy El-Ganainy

Selected Works

2008

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Articles 1 - 2 of 2

Full-Text Articles in Physics

Beam Dynamics In Pt Symmetric Optical Lattices, Konstantinos Makris, Ramy El-Ganainy, Demetrios Christodoulides, Z. Musslimani Mar 2008

Beam Dynamics In Pt Symmetric Optical Lattices, Konstantinos Makris, Ramy El-Ganainy, Demetrios Christodoulides, Z. Musslimani

Ramy El-Ganainy

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.


Optical Solitons In Pt Periodic Potentials, Z. H. Musslimani, Konstantinos G. Makris, Ramy El-Ganainy, Demetrios N. Christodoulides Jan 2008

Optical Solitons In Pt Periodic Potentials, Z. H. Musslimani, Konstantinos G. Makris, Ramy El-Ganainy, Demetrios N. Christodoulides

Ramy El-Ganainy

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.