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Full-Text Articles in Physical Sciences and Mathematics
Enhanced Optical Anderson Localization Effects In Modulated Bloch Lattices, Ramy El-Ganainy, Mohammad-Ali Miri, Demetrios N. Christodoulides
Enhanced Optical Anderson Localization Effects In Modulated Bloch Lattices, Ramy El-Ganainy, Mohammad-Ali Miri, Demetrios N. Christodoulides
Ramy El-Ganainy
We study Anderson localization dynamics in periodically modulated optical Bloch arrays. Using an effective model, we show that, in such arrangements, even a weak disorder may play an important role and can lead to enhanced Anderson localization effects.
Local Pt Invariance And Supersymmetric Parametric Oscillators, Ramy El-Ganainy, Konstantinos G. Makris, Demetrios N. Christodoulides
Local Pt Invariance And Supersymmetric Parametric Oscillators, Ramy El-Ganainy, Konstantinos G. Makris, Demetrios N. Christodoulides
Ramy El-Ganainy
We introduce the concept of local parity-time symmetric (PT) invariance in optical waveguides (or cavity) structures. Starting from a Lagrangian formalism, we establish the connection between light dynamics in these configurations and the seemingly different physics of “supersymmetric” parametric oscillators. Using this powerful tool, we present analytical solutions for optical beam propagation in local PT-invariant coupled systems and we show that the intensity tunneling between the two channels critically depends on the initial conditions. For unbalanced inputs, symmetric as well as asymmetric power evolution can be observed depending on the excitation channel. On the other hand, under certain physical conditions, …