Nonlinear Wavepacket Dynamics in Proximity to a Stationary Inflection Point
Abstract
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.
Cite
@article{arxiv.2307.13274,
title = {Nonlinear Wavepacket Dynamics in Proximity to a Stationary Inflection Point},
author = {Serena Landers and Arkady Kurnosov and William Tuxbury and Ilya Vitebskiy and Tsampikos Kottos},
journal= {arXiv preprint arXiv:2307.13274},
year = {2024}
}
Comments
9 pages, 5 figures