Oberseminar AG Mathematische Modellierung

Montag, 11. Dezember 2023 um 16.00 Uhr, in B7, Raum 210.

Vortrag von Runan He (Halle) zum Thema "Bifurcation and Asymptotics of Cubically Nonlinear Transverse Magnetic Surface Plasmon Polaritons".


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 dielectric. Metals are typically dispersive, i.e. the dielectric function depends on the frequency. We prove the bifurcation of localized SPPs in dispersive media in the presence of a cubic nonlinearity and provide an asymptotic expansion of the solution and the frequency. We also show that the real frequency exists in the nonlinear setting in the case of $\PT$-symmetric materials.

This talk is based on joint works with Tomas Dohnal (Halle).