Nonlinear Wavepacket Dynamics in Proximity to a Stationary Inflection Point
| Autor: | Landers, Serena, Kurnosov, Arkady, Tuxbury, William, Vitebskiy, Ilya, Kottos, Tsampikos |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Phys. Rev. B 109, 024312 (2024) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevB.109.024312 |
| Popis: | A stationary inflection point (SIP) in the Bloch dispersion relation of a periodic waveguide is an exceptional point degeneracy where three Bloch eigenmodes coalesce forming the so-called frozen mode with a divergent amplitude and vanishing group velocity of its propagating component. We have developed a theoretical framework to study the time evolution of wavepackets centered at an SIP. Analysis of the evolution of statistical moments distribution of linear pulses shows a strong deviation from the conventional ballistic wavepacket dynamics in dispersive media. The presence of nonlinear interactions dramatically changes the situation, resulting in a mostly ballistic propagation of nonlinear wavepackets with the speed and even the direction of propagation essentially dependent on the wavepacket amplitude. Such a behavior is unique to nonlinear wavepackets centered at an SIP and can be used for the realization of a novel family of beam power routers for classical waves. Comment: 9 pages, 5 figures |
| Databáze: | arXiv |
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