Regulation of the pulsed topological edge states

Topological edge states (TESs) have garnered significant attention for their robust and unidirectional transport properties, often serving as ideal waveguides to mitigate the backscattering caused by local structural disorders in recent years. However, the influence of waveguide dispersion and edge bending on the pulsed TES has not been discussed yet. This paper investigates the above-mentioned issues using the classical Kane-Mele model and Gaussian pulses as examples. On one hand, the nonlinear dispersion of TESs not only results in an increase in pulse width but also leads to the deformation of Gaussian pulses. On the other hand, edge bending at various angles can either amplify or diminish the pulse width. This study offers two effective methods for adjusting the pulse width, providing new perspectives on manipulating and controlling light propagation in topological waveguides.