14. Januar 2025
Maximilian Hanisch (MLU)
Polychromatic Waves in Nonlinear Maxwell's Equations
I will present a constructive result, showing the existence of a solution of Maxwell's equation in such a nonlinear, non-local setting, at the interface between a metal and a dielectric. Our ansatz is in the form of a so called polychromatic wave, which can be thought of as a Fourier series in time, thus incorporating many different frequencies (i.e. "colours") and leading to a system of iteratively solveable linear differential equations.