R. El-Ganainy

Publications152
h-index34
Citations10,814
Highly Influential Citations130
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Observation of parity–time symmetry in optics
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…
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Enhanced sensitivity at higher-order exceptional points
TLDR
Higher-order exceptional points are observed in a coupled cavity arrangement—specifically, a ternary, parity–time-symmetric photonic laser molecule—with a carefully tailored gain–loss distribution and it is found that the frequency response follows a cube-root dependence on induced perturbations in the refractive index.
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Optical solitons in PT periodic potentials
TLDR
It is shown that new types of nonlinear self-trapped modes can exist in optical PT synthetic lattices.
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Theory of coupled optical PT-symmetric structures.
Starting from Lagrangian principles we develop a formalism suitable for describing coupled optical parity-time symmetric systems.
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Non-Hermitian physics and PT symmetry
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…
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Beam dynamics in PT symmetric optical lattices.
TLDR
It is shown that PT periodic structures can exhibit unique characteristics stemming from the nonorthogonality of the associated Floquet-Bloch modes, including double refraction, power oscillations, and eigenfunction unfolding as well as nonreciprocal diffraction patterns.
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Unidirectional nonlinear PT-symmetric optical structures
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…
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Analytical solutions to a class of nonlinear Schrödinger equations with {\cal PT} -like potentials
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…
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Topological hybrid silicon microlasers
TLDR
Topological effects, first observed in condensed matter physics, are now also studied in optical systems, extending the scope to active topological devices, and Zhao et al. combine topological physics with non-Hermitian photonics, demonstrating a topological microlaser on a silicon platform.
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Supersymmetric optical structures.
TLDR
It is shown that supersymmetry can provide a versatile platform in synthesizing a new class of optical structures with desired properties and functionalities and that one-dimensional supersymmetric pairs display identical reflectivities and transmittivities for any angle of incidence in the Helmholtz regime.
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