Purcell effect at the percolation transition

Szilard, D.; Kort-Kamp, Wilton J. M.; Rosa, F. S. S.; Pinheiro, F. A.; Farina, C.

doi:10.1103/physrevb.94.134204

Cited by 19 publications

(17 citation statements)

References 38 publications

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“…The presence of a nanostructure is known to enhance the spontaneous-emission rate of optical emitters, which is generally referred to as the Purcell effect [17,18,19,20,21]. Many theoretical and experimental approaches have been developed to maximize [22,23,24] or minimize [25,26] the spontaneous-emission rate by changing the electromagnetic environment with engineered nanostructures. In this chapter, we are interested in describing the connection between the Fano resonance usually observed in the Purcell factor [27] and the unconventional Fano resonance exhibited by plasmonic nanoshells in light scattering [7,14,16].…”

Section: Introductionmentioning

confidence: 99%

Fano Resonances in Plasmonic Core-Shell Particles and the Purcell Effect

Arruda

Martinêz

Pinheiro

et al. 2018

Springer Series in Optical Sciences

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Despite a long history, light scattering by particles with size comparable with the light wavelength still unveils surprising optical phenomena, and many of them are related to the Fano effect. Originally described in the context of atomic physics, the Fano resonance in light scattering arises from the interference between a narrow subradiant mode and a spectrally broad radiation line. Here, we present an overview of Fano resonances in coated spherical scatterers within the framework of the Lorenz-Mie theory. We briefly introduce the concept of conventional and unconventional Fano resonances in light scattering. These resonances are associated with the interference between electromagnetic modes excited in the particle with different or the same multipole moment, respectively. In addition, we investigate the modification of the spontaneous-emission rate of an optical emitter at the presence of a plasmonic nanoshell. This modification of decay rate due to electromagnetic 1 Fano resonances in plasmonic core-shell particles and the Purcell effect 3 This chapter is organized as follows. We recall the main analytical expressions of the Lorenz-Mie theory for light scattering by coated spherical particles in Sec. 1.2. The concept of conventional and unconventional Fano resonances in plasmonic nanoshells are briefly introduced. In Sec. 1.3, we study the decay rates of single dipole emitters in the vicinity of plasmonic nanoshells. Analytical expressions connecting Fano resonances in light scattering and the Purcell factor of dipole emitters are derived. Finally, in Sec. 1.4, we summarize our main results and contents of this chapter. Light scattering by core-shell spheres: conventional and unconventional Fano resonancesLight scattering by small particles is a fundamental topic in classical electrodynamics that has been studied and treated by several researchers, with applications ranging from meteorology and astronomy to biology and medicine [28]. A complete analytic solution for homogeneous dielectric spheres with arbitrary radius was first derived, in an independent way, by L.V. Lorenz [29] and G. Mie [30] more than a century ago. This solution, which is widely known as the Lorenz-Mie theory, is based on the expansion of the electromagnetic fields in terms of spherical wave functions [28]. An interesting generalization of this theory is the case of a spherical scatterer composed of materials with different optical properties, with the coreshell geometry being the simplest one. Historically, the standard Lorenz-Mie theory, which deals with homogeneous spheres, was extended to single-layered spheres by Aden and Kerker [31] in 1951. With the advent of plasmonics and metamaterials, core-shell systems have been extensively applied for experimental and theoretical investigations, such as the plasmonic cloaking technique [32,33], comb-like scattering response [10], tunable light scattering [34,35], fluorescence enhancement of optical emitters [16], and Fano resonances [36]. Indeed, the presence of cavities or dielectric materi...

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Section: Introductionmentioning

confidence: 99%

Fano Resonances in Plasmonic Core-Shell Particles and the Purcell Effect

Arruda

Martinêz

Pinheiro

et al. 2018

Springer Series in Optical Sciences

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“…This is an appropriate scenario to study the dependence of RET on the LDOS, since the latter has a pronounced peak close to the dielectricmetal transition (at percolation). 6 As we have shown, RET rate has a negligible dependence on the LDOS.…”

Section: Conclusion and Final Remarksmentioning

confidence: 64%

“…Particularly, we are interested in the behavior close to percolation, where the LDOS has a peak. 6 At the critical value f c = 1/3 for spherical inclusions, the medium undergoes a dielectricmetal transition, thereby exhibiting a dramatic change in its electrical and optical properties. 12 For very short distances between the emitters (r ≪ λ C ) the presence of the medium is negligible, as it is evident from the dotted curve (r = 0.01λ C ).…”

Section: Resultsmentioning

confidence: 99%

Resonance energy transfer at percolation transition

et al. 2020

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We compute the resonance energy transfer (RET) in a system composed of two quantum emitters near a host dielectric matrix in which metallic inclusions are inserted until the medium undergoes a dielectric-metal transition at percolation. We show that there is no peak in the RET rate at percolation, in contrast to what happens with the spontaneous emission rate of an emitter near the same critical medium. This result suggests that RET does not strongly correlate with the local density of states.

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“…This relation can be written as j L ij ϕ j = I i , z i = 0, z j = 0 (8) and should be valid for any ϕ j and I i in the plane z = 0, which hold in the original problem (7). The matrix elements L ij correspond to the bonds in the reduced twodimensional network.…”

Section: The Reduced Network Model Of Thin-film Compositesmentioning

confidence: 99%

“…Other effects also increase in such disordered systems, especially near the percolation threshold, for example, high harmonic generation [1,5]. Plasmon resonances modify the electromagnetic local density of states, thus allow controlling the rate of decay for excitations related to atoms, molecules, and other quantum emitters by exploiting the Purcell effect [6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional plasmons in the random impedance network model of disordered thin film nanocomposites

Olekhno

Beltukov

2018

Phys. Rev. B

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Random impedance networks are widely used as a model to describe plasmon resonances in disordered metal-dielectric nanocomposites. Two-dimensional networks are applied when considering thin films despite the fact that such networks correspond to the two-dimensional electrodynamics [J.P. Clerc et al, J. Phys. A 29, 4781 (1996)]. In the present work, we propose a model of twodimensional systems with the three-dimensional Coulomb interaction and show that this model is equivalent to the planar network with long-range capacitive links between distant sites. In the case of a metallic film, we obtain the well-known dispersion of two-dimensional plasmons ω ∝ √ k. We study the evolution of resonances with a decrease in the metal filling factor within the framework of the proposed model. In the subcritical region with the metal filling p lower than the percolation threshold pc, we observe a gap with Lifshitz tails in the spectral density of states (DOS). In the supercritical region p > pc, the DOS demonstrates a crossover between plane-wave two-dimensional plasmons and resonances of finite clusters. arXiv:1710.00949v4 [cond-mat.mes-hall]

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Purcell effect at the percolation transition

Cited by 19 publications

References 38 publications

Fano Resonances in Plasmonic Core-Shell Particles and the Purcell Effect

Fano Resonances in Plasmonic Core-Shell Particles and the Purcell Effect

Resonance energy transfer at percolation transition

Two-dimensional plasmons in the random impedance network model of disordered thin film nanocomposites

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