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  • Open Access

Acoustically controlled periodic γ-optical signals described by semiclassical theory

Vlastimil Vrba, Michal Hausner, Aleš Stejskal, and Vít Procházka*

  • Department of Experimental Physics, Faculty of Science, Palacký University Olomouc, 17. listopadu 1192/12, 779 00 Olomouc, Czech Republic

  • *Contact author: v.prochazka@upol.cz
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Phys. Rev. Research 7, 023243 – Published 11 June, 2025

DOI: https://doi.org/10.1103/l33j-xstp

Abstract

This study provides a detailed theoretical description of periodic γ-ray intensity signals. These signals are generated by the tabletop time coincidence experimental setups which utilize nuclear resonant interaction of γ-photons from a radioactive source with an absorber exhibiting ultrasonic vibrations. Transmission of the γ-radiation field through the absorber is described by semiclassical theory considering arbitrary periodic motion of the absorber. A key aspect of the presented work is the application of the Fourier analysis. A fundamental relation between the Fourier coefficients of the γ-ray intensity signal and the Fourier coefficients of a complex exponential of the absorber motion is derived. Application of this relation is shown on the example of the trapezoid motion, which demonstrates its usability for systematic inspection of the discussed signals. The results of the analysis expand the knowledge of the coherent manipulation of γ-photons and may find usage in a broad range of research fields utilizing γ-ray sources.

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Phys. Rev. Research 7, 023243– Published 11 June, 2025
  • Received 8 December 2024
  • Accepted 11 May 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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