Abstract
Study of photon decay rate is essential to various optical devices, where graphene is an emerging building block due to its electrical tunability. In this paper, we study photon decay rate of a quantum emitter near a metallic split-ring resonator, which is embedded in a multilayered substrate incorporating a graphene layer. Analyzing photon decay rate in such a complex multilayered system is not only computationally challenging but also highly important to experimentally realizable devices. First, the dispersion relation of graphene plasmonics supported at a dieletric/graphene/dielectric structure is investigated systematically. Meanwhile, the dispersion relation of metallic plasmonics supported at a dielectric/metal structure is studied comparatively. According to our investigation, graphene offers several flexible tuning routes for manipulating photon decay rate, including tunable chemical potential and the emitter's position and polarization. Next, considering plasmonic waves in a graphene sheet occur in the infrared regime, we carefully design a metallic split ring resonating around the same frequency range. Consequently, this design enables a mutual interaction between graphene plasmonics and metallic plasmonics. The boundary element method with a multilayered medium Green's function is adopted in the numerical simulation. Blue-shifted and splitting resonance peaks are theoretically observed, which suggests a strong mode coupling. Moreover, the mode coupling has a switch on-off feature via electrostatically doping the graphene sheet. This work is helpful to dynamically manipulate photon decay rate in complex optical devices.
Highlights
Study of photon decay rate in a multilayered system with complicated metallic nano-scatterers plays an important role in the design of various optical and optoelectronic devices, such as optical antennas, light-emitting diodes, lasers, solar cells, etc [1,2,3,4,5,6]
Considering the multilayered substrate and the complex structure embedded in it, the boundary element method with the kernel of a multilayered medium Green’s function [8,9,10,11,12,13] is a favorable choice for the numerical simulation
We can see that in a planar multilayered structure, graphene plasmonics could achieve a very large photon decay rate compared to metallic plasmonics
Summary
Study of photon decay rate in a multilayered system with complicated metallic nano-scatterers plays an important role in the design of various optical and optoelectronic devices, such as optical antennas, light-emitting diodes, lasers, solar cells, etc [1,2,3,4,5,6]. Plasmonic effects of metals in the visible light regime have been employed to control the photon decay rate in designs of various optical and optoelectronic devices [14, 15]. The photon decay rate can be manipulated by the external gate voltage, as well as the position and polarization of the quantum emitter Such tunable properties are favorable in the design of functional devices. The dispersion relation of graphene plasmonics and metallic plasmonics are comparatively investigated, revealing distinguished features of photon decay rates with respect to their working frequency regimes. The mode coupling of the graphene and a split-ring resonator integrated in a layered substrate is studied. It is found that by increasing chemical potential, the resonance peak of the hybrid system is blue-shifted [25] and splits
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