Abstract

Radiation imprisonment is a well studied phenomenon. Usually the fluorescence from an ensemble of excited atoms is described in terms of a sum of different exponential decay modes with different decay rates. We derive an equation which describes the time dependent resonance fluorescence I( t) in an experiment with pulsed excitation by I( t)= Σ ∞ n=0 S n = ( N/ τ) exp(- t/ τ)( Σ ∞ n=0 ( a n / n!)( t/ τ) n ) where S n is the signal of photons that have been absorbed n-times before leaving the experimental geometry, and the time evolution of each term S n is determined only by the number of scattering process n and the lifetime τ. The coefficients a n are independent of time and can be calculated by a Monte Carlo procedure. Some numerical results are presented.

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