One-click electromagnetism at the nanoscale
In a cavity, F = (3/4π²)(λ/n)³ Q/V. Near a nanoparticle the decay-rate enhancement is computed from the field the emitter's own dipole creates at its position: γ/γ₀ = 1 + (6πε₀εm/|p|²k³) Im(p*·Es). See the Purcell factor explained.
The ratio of an emitter's decay rate near a structure to its rate in the plain medium. The calculator splits it into radiative (light emitted) and non-radiative (absorbed in the particle) parts and gives the quantum efficiency, for emitters oriented along or across the particle.
Within roughly 10 nm of a metal, much of the emitter's energy goes into absorption in the metal (non-radiative decay), so the total rate rises but the quantum efficiency drops.
Yes. High-index particles such as TiO₂ or silicon have Mie resonances but little absorption: a dipole 10 nm from a 220 nm TiO₂ sphere decays about 6 times faster with a quantum efficiency near 100 %.
Decay-rate enhancement and quantum efficiency of a quantum emitter near a particle, in one click.