Parametrically resonant plasmonic structures: theory and applications

Plasmonic Parametric Resonance (PPR) provides a novel method to excite plasmonic modes that are typically difficult to access by direct illumination due to linear or angular momentum mismatch between the modes and the incident field. By temporally modulating the permittivity near a plasmonic structure, PPR enables energy transfer into these modes, overcoming the constraints of energy and momentum conservation. This paper reviews the theory of PPR, explores its implementation via three-wave mixing interactions, and discusses applications in optical limiting through reverse saturable absorption processes. Additionally, we present a time-domain perturbation formalism to address pump saturation, depletion effects, and cascaded second-order nonlinear interactions, highlighting the potential for intermodal conversion.