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

Zahra Jalali-Mola,Saeid Asgarnezhad-Zorgabad

doi:10.1515/nanoph-2021-0163

Abstract

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 ultralow 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 use the mean-value evolution of the quantum NSPP field commensurate with the Schrödinger 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 synthetic plasmonic lattice (SPL).

Highlights

Synthetic lattice (SL) [1] provides a platform for photonic structures to couple the integral degree of freedom of light such as orbital angular momentum and frequency combs (FCs) with geometrical dimensions of the waveguide to form higherorder synthetic space [2, 3]
Note that our work is conceptually novel, as we introduce the concept of synthetic dimension to dissipative nanophotonic structures such as plasmonic waveguides, and this work is methodologically novel, as we develop a framework based on quantum nonlinear averaging of surfaceplasmon polaritons (SPPs) field, to uncover the similarities between various Nonlinear surface-plasmon polaritons (NSPPs), and to discover the invariants of a plasmonic scheme in a loss-compensated waveguide
Essential parameters related to scheme- We quantitatively model our nonlinear waveguide in terms of the parameters related to the nonlinear medium and plasmonic scheme

Summary

Introduction

Synthetic lattice (SL) [1] provides a platform for photonic structures to couple the integral degree of freedom of light such as orbital angular momentum and FC with geometrical dimensions of the waveguide to form higherorder synthetic space [2, 3]. SL with the periodic-boundary condition is introduced to the reconstruction of the FCs [12], to control the light manipulation in a nonlinear waveguide [13] and to induce a synthetic Hall effect for photons [14] In previous investigations, these lattices are constructed as photonic structures with negligible dissipation and dispersion, whose internal degree of light acts as a synthetic dimension. As these hybrid interfaces possess the same nonlinearity and dispersion, there must be similarities such

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