Variational theory of soliplasmon resonances

TL;DR

This paper derives variational equations to describe the interaction dynamics of solitons and surface plasmon polaritons at a metal/dielectric interface, providing a theoretical foundation for soliplasmon states and their nonlinear resonant behavior.

Contribution

It offers a first-principles derivation of the variational model for soliplasmon interactions, extending previous models and analyzing necessary approximations.

Findings

Validated existence of soliplasmon states and their nonlinear resonance.

Provided theoretical demonstration of the nonlinear resonator model.

Extended the model to enhance its applicability.

Abstract

We present a first-principles derivation of the variational equations describing the dynamics of the interaction of a spatial soliton and a surface plasmon polariton (SPP) propagating along a metal/dielectric interface. The variational ansatz is based on the existence of solutions exhibiting differentiated and spatially resolvable localized soliton and SPP components. These states, referred to as soliplasmons, can be physically understood as bound states of a soliton and a SPP. Their respective dispersion relations permit the existence of a resonant interaction between them, as pointed out in Ref.[1]. The existence of soliplasmon states and their interesting nonlinear resonant behavior has been validated already by full-vector simulations of the nonlinear Maxwell's equations, as reported in Ref.[2]. Here, we provide the theoretical demonstration of the nonlinear resonator model previously introduced in our previous work and analyze all the approximations needed to obtain it. We also provide some extensions of the model to improve its applicability.