Speaker: Georgia Himona
National Technical University of Athens
Will give a PDE, Complex Analysis and Differential Geometry Seminar entitled:
Phase dynamics and Synchronization properties of tunable photonic oscillators
Abstract: converges following an initial transient time interval. Their timing properties can be captured by the concepts of isochrons, phase response and time crystal, originally introduced in the context of mathematical biology. By utilizing these notions, an efficient reduction of the original dynamical system and the study of the effect of periodic external stimulations through a resulting one-dimensional circle map can be achieved. The synchronization dynamics of this map are characterized by a single parameter, the rotation number, indicating the average phase shift per iteration. Optically Injected Semiconductor Lasers (OISLs) are well-known for their ability to produce robust selfsustained oscillations with multi-harmonic spectral content as well as a rich set of complex dynamical features making them suitable for use in a variety of cutting-edge applications. The effect of periodic stimulations in the form of a time (and frequency) comb, corresponding to either Dirac delta impulses or finite-time pulse stimulations, on both the current of the slave laser and the amplitude of the injected wave field is investigated using the aforementioned notions. The overall phase response of the system under these modulations can be described by the associated time crystal, whose form suggests a parametric modification of the input frequency comb to achieve desirable output ranging from continuous to discrete frequency spectra. Thus, conditions for resonant synchronization resulting in desirable outputs of the original nonlinear system can be accurately obtained towards potential practical applications related to nonlinear filtering effects and photonic signal-processing units.
Date: 03-14-2024
Time: 1:00 pm
Location: 258 Hurley Bldg