2 papers
math.AP2025
Polychromatic Localized Waves with Complex Frequencies in Nonlinear Maxwell Equations with Material Dispersion
Tomas Dohnal, Maximilian Hanisch, Runan He
We study the existence of polychromatic solutions of cubically nonlinear Maxwell equations in the whole space and with dispersive media, i.e., with a time delayed polarization. Due…
math.AP2023
Bifurcation and Asymptotics of Cubically Nonlinear Transverse Magnetic Surface Plasmon Polaritons
Tomáš Dohnal, Runan He
Linear Maxwell equations for transverse magnetic (TM) polarized fields support single frequency surface plasmon polaritons (SPPs) localized at the interface of a metal and a dielec…