Spontaneous emission control and microcavity light emitters

Progress in the control of the light–matter interaction in semiconductors

“…It originates in the modification of Fermi's golden rule, the effect being important only for 0D photonic systems. Indeed, it can be shown that in weak-coupling conditions the free carrier spontaneous emission time is little changed when going from 3-2 or even 1D photon systems [32,33]. However, in 0D photonic systems, i.e.…”

“…4). This is done most simply (for example for ideal metallic microcavities) by calculating the equivalent density of vacuumfield energy, in systems with different photon dimensionalities, the so-called photon-mode counting method [22,32,33,42,43]. One sees that whereas modest change is expected in 2D or 1D, a major change can occur in 0D: when dealing with 2D or 1D optical microcavities, the various emitted wavelengths are in resonance with various oblique cavity modes, with the usual result of a very limited lifetime change (typically less than a factor of 1.5 in 2D, when making more precise calculations for the emission rates) [44].…”

Microcavities in Ecole Polytechnique Fédérale de Lausanne, Ecole Polytechnique (France) and elsewhere: past, present and future

“…3). Indeed, it can be shown that in weak coupling conditions the free carrier spontaneous emission time is little changed when going from 3D to 2D or even 1D photon systems [33,34]. However in 0D photonic systems, i.e.…”

Photonic Crystals

“…In this case, everything happens as if the emitter were 'seeing' a mode continuum with a spectral density p{(o). The coupling of the emitter to the cavity mode can be described using the standard formalism with Fermi's golden rule (Cohen-Tannoudji 1973;Ho 1999). The mode density is represented by a Lorentzian function whose width Aco^ = co/Q is dependent on the finite lifetime of the photon in the cavity.…”

“…This value is to be compared with the value of the spontaneous emission rate in the case where the emitter is embedded in a homogeneous medium with index n (Ho 1999):…”