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- ItemModulational instability of discrete solitons in coupled waveguides with group velocity dispersion(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2007) Yulin, Alexey; Skryabin, Dmitry; Vladimir, AndreiWe study temporal modulational instability of spatial discrete solitons in waveguide arrays with group velocity dispersion (GVD). For normal GVD we report existence of the strong 'neck'-type instability specific for the discrete solitons. For anomalous GVD the instability leads to formation of the mixed discrete-continuous spatio-temporal quasi-solitons. Feasibility of experimental observation of these effects in the arrays of silicon-on-insulator waveguides is discussed.
- ItemMulti-stability and polariton formation in microcavity polaritonic waveguides(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2015) Slavcheva, Gabriela; Gorbach, Andrey V.; Pimenov, Alexander; Vladimirov, Andrei G.; Skryabin, DmitryNonlinear polaritons in microcavity waveguides are demonstrated to exhibit multi-stable behaviour and rich dynamics, including filamentation and soliton formation. We find that the multi-stability originates from co-existense of different transverse modes of the polaritonic waveguide. Modulational stability and conditions for multi-mode polariton solitons are studied. Soliton propagation in tilted, relative to the pump momentum, waveguides is demonstrated and a critical tilt angle for the soliton propagation is found.