THEORY OF INDUCED AND SPONTANEOUS EMISSION.
Abstract:
The problem of induced and spontaneous emission is investigated for an atomic two-level system and incident beams of radiation which are either in a coherent state or in a stationary state contain a definite number of photons. The frequency spectrum of the incident beam is assumed to be narrow compared to the natural linewidth of the system. The spontaneous emission for frequencies within the narrow band of the incident radiation is sharply reduced compared to the prediction of the natural line-shape. A hole is burned in the natural line-shape within the narrow frequency band, thus effectively quenching the spontaneous emission at some frequency within the band. This effect is shown to occur both for the coherent and stationary beams. Also quantities proportional to the induced and spontaneous probability amplitudes and the lifetimes are computed for times comparable to and long compared to the free lifetime of the state. Author