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Publications Influence

Observation of parity–time symmetry in optics

- C. Rüter, K. Makris, R. El-Ganainy, D. Christodoulides, M. Segev, D. Kip
- Physics
- 1 March 2010

One of the fundamental axioms of quantum mechanics is associated with the Hermiticity of physical observables 1 . In the case of the Hamiltonian operator, this requirement not only implies real… Expand

1,924 28- PDF

Optical solitons in PT periodic potentials

- K. Makris, R. El-Ganainy, D. Christodoulides, Z.H. Musslimani
- Physics, Medicine
- Conference on Lasers and Electro-Optics and…
- 4 May 2008

We investigate the effect of nonlinearity in novel parity-time (PT) symmetric potentials. We show that new types of nonlinear self-trapped modes can exist in optical PT synthetic lattices.

282 10- PDF

Theory of coupled optical PT-symmetric structures.

- R. El-Ganainy, K. Makris, D. Christodoulides, Z. Musslimani
- Physics, Medicine
- Optics letters
- 1 September 2007

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

775 9- PDF

Unidirectional nonlinear PT-symmetric optical structures

- H. Ramézani, T. Kottos, +5 authors U. Florida
- Physics
- 27 May 2010

We show that nonlinear optical structures involving a balanced gain-loss profile can act as unidirectional optical valves. This is made possible by exploiting the interplay between the fundamental… Expand

417 7- PDF

Beam dynamics in PT symmetric optical lattices.

- K. Makris, R. El-Ganainy, D. Christodoulides, Z. Musslimani
- Physics, Medicine
- Physical review letters
- 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… Expand

1,195 6- PDF

Enhanced sensitivity at higher-order exceptional points

- H. Hodaei, A. U. Hassan, +4 authors M. Khajavikhan
- Physics, Medicine
- Nature
- 9 August 2017

Non-Hermitian degeneracies, also known as exceptional points, have recently emerged as a new way to engineer the response of open physical systems, that is, those that interact with the environment.… Expand

485 6

Non-Hermitian physics and PT symmetry

- R. El-Ganainy, K. Makris, M. Khajavikhan, Z. Musslimani, S. Rotter, D. Christodoulides
- Physics
- 2018

In recent years, notions drawn from non-Hermitian physics and parity–time (PT) symmetry have attracted considerable attention. In particular, the realization that the interplay between gain and loss… Expand

652 5

Analytical solutions to a class of nonlinear Schrödinger equations with {\cal PT} -like potentials

- Z. Musslimani, K. Makris, R. El-Ganainy, D. Christodoulides
- Mathematics
- 3 June 2008

We present closed form solutions to a certain class of one- and two-dimensional nonlinear Schr¨ odinger equations involving potentials with broken and unbroken PT symmetry. In the one-dimensional… Expand

99 5- PDF

Optical Solitons in PT Periodic Potentials

- Z. Musslimani, K. Makris, R. El-Ganainy, D. Christodoulides
- Physics
- 23 January 2008

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… Expand

730 3

PT -symmetric optical lattices

- K. Makris, R. El-Ganainy, D. Christodoulides, Z. Musslimani
- Physics
- 4 June 2010

The basic properties of Floquet-Bloch (FB) modes in parity-time (PT)-symmetric optical lattices are examined in detail. Due to the parity-time symmetry of such complex periodic potentials, the… Expand

203 2- PDF

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