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- Georgios A. Siviloglou, John Broky, A Dogariu, Demetrios N. Christodoulides
- Physical review letters
- 2007

We report the first observation of Airy optical beams. This intriguing class of wave packets, initially predicted by Berry and Balazs in 1979, has been realized in both one- and two-dimensional configurations. As demonstrated in our experiments, these Airy beams can exhibit unusual features such as the ability to remain diffraction-free over long distancesâ€¦ (More)

- Aizhi Guo, Gragory J Salamo, +5 authors Demetrios N. Christodoulides
- Physical review letters
- 2009

In 1998, Bender and Boettcher found that a wide class of Hamiltonians, even though non-Hermitian, can still exhibit entirely real spectra provided that they obey parity-time requirements or PT symmetry. Here we demonstrate experimentally passive PT-symmetry breaking within the realm of optics. This phase transition leads to a loss induced opticalâ€¦ (More)

- Georgios A. Siviloglou, Demetrios N. Christodoulides
- Optics letters
- 2007

We investigate the acceleration dynamics of quasi-diffraction-free Airy beams in both one- and two-dimensional configurations. We show that this class of finite energy waves can retain their intensity features over several diffraction lengths. The possibility of other physical realizations involving spatiotemporal Airy wave packets is also considered.

One of the fundamental axioms of quantum mechanics is associated with the Hermiticity of physical observables1. In the case of the Hamiltonian operator, this requirement not only implies real eigenenergies but also guarantees probability conservation. Interestingly, a wide class of non-Hermitian Hamiltonians can still show entirely real spectra. Among theseâ€¦ (More)

- Demetrios N. Christodoulides, Richard I. Joseph
- Optics letters
- 1988

We show that a nonlinear array of coupled waveguides can exhibit discrete self-focusing that in the continuum approximation obeys the so-called nonlinear SchrÃ¶dinger equation. This process has much in common with the biophysical model of Davydov.

- Zin Lin, HamidrÃ©za RamÃ©zani, Toni Eichelkraut, Tsampikos Kottos, Hui Cao, Demetrios N. Christodoulides
- Physical review letters
- 2011

Parity-time (PT) symmetric periodic structures, near the spontaneous PT-symmetry breaking point, can act as unidirectional invisible media. In this regime, the reflection from one end is diminished while it is enhanced from the other. Furthermore, the transmission coefficient and phase are indistinguishable from those expected in the absence of a grating.â€¦ (More)

- Demetrios N. Christodoulides, Falk Lederer, Yaron Silberberg
- Nature
- 2003

Light propagating in linear and nonlinear waveguide lattices exhibits behaviour characteristic of that encountered in discrete systems. The diffraction properties of these systems can be engineered, which opens up new possibilities for controlling the flow of light that would have been otherwise impossible in the bulk: these effects can be exploited toâ€¦ (More)

- Konstantinos G. Makris, Ramy El-Ganainy, Demetrios N. Christodoulides, Ziad H. Musslimani
- Physical review letters
- 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 theâ€¦ (More)

The development of new artificial structures and materials is today one of the major research challenges in optics. In most studies so far, the design of such structures has been based on the judicious manipulation of their refractive index properties. Recently, the prospect of simultaneously using gain and loss was suggested as a new way of achievingâ€¦ (More)

- Ramy El-Ganainy, Konstantinos G. Makris, Demetrios N. Christodoulides, Ziad H. Musslimani
- Optics letters
- 2007

Starting from Lagrangian principles we develop a formalism suitable for describing coupled optical parity-time symmetric systems.