Decay of Resonance Radiation in a Planar Afterglow with Reflecting Walls

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Abstract
The decay time of Doppler-broadened resonance radiation in a planar afterglow is calculated numerically and compared with the analytic approximation of Holstein. This comparison shows that Holstein's results are higher than the numerical results by as much as 18%, depending on the optical thickness. In addition, the effect of diffusely reflecting walls on the decay time is calculated numerically and compared with the analytic approximation of Weinstein where possible. The numerical results are rigorously valid in the optically thick limit and approximately valid in the optically thin limit.