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Advanced seminar AG Mathematical Modeling

Monday, December 11, 2023 at 4 p.m., in B7, room 210.

 

Lecture by Runan He (Halle) on the topic "Bifurcation and Asymptotics of Cubically Nonlinear Transverse Magnetic Surface Plasmon Polaritons".

Abstract:

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).

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