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Classical description of Mossbauer effect with experiments in transient region and using restricted geometries

J. Hietaniemi

Published Aug 1, 1991• 0 citations
OpenAlex

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Classical phase-modulation theory is applied to describe the interference of the recoil-free gamma-radiaton fields emitted by a M\"ossbauer source and a resonant absorber in forward-scattering geometry. During the exponential decay of the excited state in the source the resonant absorber develops and emits a coherent field, which interferes destructively with the source field. A stepwise phase change of the source field relative to the absorber field is introduced by a fast mechanical displacement of the source. As a result, an intense pulse of gamma rays is observed in the time dependence of the resonantly filtered radiation. This coherent transient phenomenon is called a gamma echo. The time reference of the gamma-echo experiment is the moment of formation of the excited state in the source. This is in contrast to earlier transient M\"ossbauer experiments in which the measurements were synchronized to the phase of the modulation and averaging occurred over all possible times of formation of the excited state. By choosing a suitable shape for the phase-modulation function in the echo experiment, short pulses of gamma radiation with desired duration and amplitude can be generated within a time frame defined by the lifetime of the excited nuclear state. Here, a detailed description of the experimental and theoretical aspects of stepwise phase modulation in a coincidence scheme is given. Theoretical results are presented in a general form, taking into account the experimental nonidealities. The properties of the mechanical drive system are discussed in detail. Gamma-echo data are presented. Good agreement between the theoretical calculations and the experimental data has been established.
We investigated coherent transient oscillations in the transmission intensity of a frequency-modulated probe-laser beam through a sample of trapped atoms. The transients occur when the frequency of the probe-laser beam crosses a resonance of the atoms in a time of the order of the lifetime of the excited state. A theoretical description used previously to explain transient effects observed in Mössbauer spectroscopy has been developed further to adapt for the specific frequency- and amplitude-modulation characteristics of current-modulated laser diodes. The transients were recorded at various experimental parameters, and the results of the experiments were compared with results obtained from slow frequency sweeps and independent measurements of the modulation characteristics of the laser. The results show that the theory accurately explains the coherent transient phenomena.