Nonlinear Plasmonics

Goal: We will study parametric nonlinear processes (second harmonic generation, third-harmonic generation, sum-frequency generation, difference-frequency generation) in plasmonic nanostructures. Maxwell-hydrodynamic model and boundary-element method are to be used. The amplitude, polarization, radiation pattern, and wavefront of generated nonlinear waves will be manipulated by understanding fundamental conservation laws including charge, energy, momentum, angular momentum, and parity conservation.

Methods: Boundary Element Method, Finite-difference time-domain (FDTD), Nonlinear Wave Equations, Maxwell-Hydrodynamic Model