Synthetic plasmonic lattice formation through invariant frequency comb excitation in graphene structures

TL;DR

This paper demonstrates the formation of a synthetic plasmonic lattice in graphene structures by establishing invariant frequency combs through nonlinear spectral dynamics, revealing inherent properties beyond waveguide geometry.

Contribution

It introduces a novel plasmonic system that maintains invariant frequency combs and phase singularities, enabling the creation of a synthetic plasmonic lattice with potential applications in nanophotonics.

Findings

Invariant frequency combs are achieved in a low-loss nonlinear plasmonic waveguide.

Spectral dynamics depend on the synthetic dimension, not just waveguide geometry.

A plasmonic analog of the synthetic photonic lattice is demonstrated.

Abstract

Nonlinear surface-plasmon polaritons~(NSPPs) in nanophotonic waveguides excite with dissimilar temporal properties due to input field modifications and material characteristics, but they possess similar nonlinear spectral evolution. In this work, we uncover the origin of this similarity and establish that the spectral dynamics is an inherent property of the system that depends on the synthetic dimension and is beyond waveguide geometrical dimensionality. To this aim, we design an ultra-low loss nonlinear plasmonic waveguide, to establish the invariance of the surface plasmonic frequency combs~(FCs) and phase singularities for plasmonic peregrine waves and Akhmediev breather. By finely tuning the nonlinear coefficient of the interaction interface, we uncover the conservation conditions through this plasmonic system and employ the mean-value evolution of the quantum NSPP field commensurate with the Schr\"odinger equation to evaluate spectral dynamics of the plasmonic FCs~(PFCs). Through providing suppressed interface losses and modified nonlinearity as dual requirements for conservative conditions, we propose exciting PFCs as equally spaced invariant quantities of this plasmonic scheme and prove that the spectral dynamics of the NSPPs within the interaction interface yields the formation of plasmonic analog of the synthetic photonic lattice, which we termed \textit{synthetic plasmonic lattice}~(SPL).