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Physics Letters A

Delayed-coincidence Mössbauer and quantum-beat measurements of a vibrating source

G.L. Zhang, E. H. du Marchie van Voorthuysen, H. DE WAARD

Published Sep 1, 1985• 2 citations
Publisher
DOI
10.1016/0375-9601(85)90443-8

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Mössbauer radiation from a single-line source was converted into a set of harmonics by transmission through an ultrasound-vibrated SS foil. Energy and time analysis of the radiation revealed characteristic sidebands and quantum beats, respectively. When the radiation was further transmitted through a sample (a second SS foil) at rest, the original quantum beat pattern was shifted in time proportional to the sample thickness. This time beat shift originates from interference in energy space. It is analogous to the spatial fringe shifts in classical interferometry.
The radiation from a Mössbauer source of 57Co in a copper matrix is frequency-modulated by vibrating the source with a quartz piezo-crystal driven by an oscillator. If the radiation passes through a resonant absorber (a "filter"), a time structure containing the oscillator frequency and its harmonics appears in the resulting counting rate. It may be seen by sorting the time of each count with respect to the cross-over time of a subharmonic of the oscillator. These quantum beats are caused by interferences between the frequency components of the photon amplitude, and vanish unless there is some alteration of relative phase or amplitude of the original radiation by the filter. The harmonic constitution of the beats is a sensitive function of the relative shift of source and filter and may be used as a sensitive probe of small shifts. This is demonstrated by measuring the temperature shift in 57Fe-Be. If a velocity spectrum is made with counts collected during only a part of the vibration cycle, prominent dispersion effects are seen, with counting rates higher than background in some portions of the spectrum. A classical optical theory of the phenomenon is presented in summary. It explains the beats, the dispersion effects, and the sensitivity of the harmonic ratios to relative shifts.