Nonlinear Waves Seminar: Yiping Ma
Traveling edge waves in optical honeycomb lattices
Yiping Ma
Applied Mathematics,Ìý
Date and time:Ìý
Tuesday, March 18, 2014 - 4:00pm
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ECOT 226
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Light propagation in photonic lattices is described by nonlinear Schrodinger equations with periodic potentials. In the case when the potential takes a hexagonal or honeycomb shape, novel Dirac-like systems can be derived with interesting properties such as conical diffraction. In particular, recent experiments have discovered traveling unidirectional localized edge states using honeycomb arrays of helical waveguides designed to induce a periodic pseudo-magnetic field in the direction of propagation. These traveling edge waves are analytically constructed when the pseudo-magnetic field varies rapidly, and conditions on whether a given pseudo-field supports a traveling edge mode are discussed. Nonlinear localized traveling edge modes are also found; they exhibit additional quartic nonlinear self-phase modulation.