Purcell factor of Mie resonators featuring electric and magnetic modes

Abstract

We present a modal approach to compute the Purcell factor in Mie resonators exhibiting both electric and magnetic resonances. The analytic expressions of the normal modes are used to calculate the effective volumes. We show that important features of the effective volume can be predicted thanks to the translation-addition coefficients of a displaced dipole. Using our formalism, it is easy to see that, in general, the Purcell factor of Mie resonators is not dominated by a single mode, but rather by a large superposition. Finally we consider a silicon resonator homogeneously doped with electric dipolar emitters, and we show that the average electric Purcell factor dominates over the magnetic one.

References in corpus (4)

• Resonant state expansion applied to three-dimensional open optical systems
• Mapping and Quantifying Electric and Magnetic Dipole Luminescence at the nanoscale
• The role of the angular momentum of light in Mie scattering. Excitation of dielectric spheres with Laguerre-Gaussian modes
• Isotropically polarized speckle patterns

Cited by in corpus (41)

• Light interaction with photonic and plasmonic resonances
• An electromagnetic multipole expansion beyond the long-wavelength approximation
• Enhanced Light-Matter Interaction in Two-Dimensional Transition Metal Dichalcogenides
• Ideal magnetic dipole scattering
• Resonant Raman Scattering from Silicon Nanoparticles Enhanced by Magnetic Response
• Laser fabrication of crystalline silicon nanoresonators from an amorphous film for low-loss all-dielectric nanophotonics
• Enhancement and Inhibition of Spontaneous Photon Emission by Resonant Silicon Nanoantennas
• Demonstration of the enhanced Purcell factor in all-dielectric structures
• Plasmonic Purcell factor and coupling efficiency to surface plasmons. Implications for addressing and controlling optical nanosources
• Hybrid Nanophotonics
• Nanoscale design of the local density of optical states
• Optimal interactions of light with magnetic and electric resonant particles
• Enhancement of inherent Raman scattering in dielectric nanostructures with electric and magnetic Mie resonances
• Modal Expansion of the Scattered Field: Causality, Non-Divergence and Non-Resonant Contribution
• Hybrid Photonic-Plasmonic Cavities based on the Nanoparticle-on-a-Mirror Configuration
• Transverse Kerker effect of localized electromagnetic sources
• Tailoring multipolar Mie scattering with helicity and angular momentum
• Quasinormal mode expansion of optical far-field quantities
• Site-selective functionalization of plasmonic nanopores for enhanced fluorescence and Förster Resonance Energy Transfer
• Unidirectional emission in an all-dielectric nanoantenna
• Non-hermitian Hamiltonian description for quantum plasmonics: from dissipative dressed atom picture to Fano states
• Directional emission of down-converted photons from a dielectric nano-resonator
• Elastic Purcell effect
• Interplay between spontaneous decay rates and Lamb shifts in open photonic systems
• Enhanced Purcell factor for nanoantennas supporting interfering resonances
• Polarizability Expressions for Predicting Resonances in Plasmonic and Mie Scatterers
• Interplay of Purcell effect, stimulated emission, and leaky modes in the photoluminescence spectra of microsphere cavities
• Resonance frequency and radiative Q-factor of plasmonic and dielectric modes of small objects
• Theory of optical forces on small particles by multiple plane waves
• Transverse multipolar light-matter couplings in evanescent waves
• Cooperative emission mediated by cooperative energy transfer to a plasmonic antenna
• Lamb shift multipolar analysis
• Generation of nearly pure and highly directional magnetic light in fluorescence of rare earth ions
• Quality factor of dielectric optical resonators
• Collectively Driven Optical Nanoantennas
• Revealing Low-Radiative Modes of Nanoresonators with Internal Raman Scattering
• All-dielectric resonant meta-optics goes active
• Vectorial probing of electric and magnetic transitions in variable optical environments and vice-versa
• Emission dynamics and spectrum of a nanoshell-based plasmonic nanolaser spaser
• An Integrated DFT-FDTD Design of Plasmon-Enhanced Lead-Free $CsSn$${}_x$$Ge$${}_{1-x}$$I$${}_3$ Perovskite LEDs
• Controlling spontaneous emission via electronic correlations in transparent metals