We have regular joint seminars, held at both Durham and Newcastle Universities.
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Title: Vortices, turbulence and rogue waves in lasers and fluids of light
This event will take place at 12:00-13:00 in PH8
Rogue waves are characterized by rare peak intensities that are much
higher than the long-time average height of the oscillations in a medium.
These waves occur unexpectedly and are typically accompanied by wide
and/or deep troughs before and after the event. In nonlinear optical
cavities, experimental evidence of deterministic rogue waves was first
provided in lasers with injected signals. The dynamics of these systems,
however, are confined to one spatial dimension.
In this talk we describe a mechanism for the generation of fully
two-dimensional spatio-temporal rogue waves in the presence of turbulence of
interacting optical vortices. We consider the dynamics in the transverse
plane of the complex Ginzburg-Landau (CGL) and complex Swift-Hohenberg
equations in the presence of an external forcing. These equations are
equivalent to the hydrodynamics of a viscous, compressible and irrotational
fluid. Without spatio-temporal coupling, chaos, turbulence and,
consequently, rogue waves are forbidden. With spatio-temporal coupling
the locking threshold, we demonstrate phase and amplitude instabilities
leading to regimes of defect-mediated turbulence with interacting optical
vortices. Depending on the density of the moving vortices, short
distance interactions lead to sudden, rare, large and randomly
of the light intensity.
The small aspect ratio, the full 2D character and the quick dynamics
represent major advantages of transverse optical devices for studying the
generation and control of rare events with applications, by
universality, in hydrodynamics and oceanography. The CGL model equations
broad range of applications in optics, ranging from broad area lasers to
optical parametric oscillators, and to polaritons in semiconductor
Quantum science and technology underpins the understanding of matter, radiation, and their interaction, and devices such as atomic clocks and SQUIDs. Our core mission is to conduct fundamental and applied research in this area, interfacing physics, chemistry and applied mathematics.
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