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Soviet Journal of Quantum Electronics

Coherent propagation of polarized gamma radiation in an acoustic wave field

Anatolii V. Mitin

Published Apr 30, 1976• 4 citations
Publisher

Abstract

A theoretical analysis is made of the influence of ultrasonic vibrations in a sample containing Mössbauer nuclei on the propagation of resonant gamma radiation. The problem is tackled by simultaneous solution of the Maxwell equations and equations for the density matrix. An exact solution of the problem is obtained for continuous sources and observation conditions without any restrictions on the frequency and amplitude of ultrasonic vibrations. The dependence of the absorption of gamma rays on their polarization and on the absorber thickness is derived. It is shown that the propagation of gamma radiation across a system of resonant absorbers vibrating at the same frequency but with different phases depends on the relationship between the phases and the distances between the absorbers. Experimental applications of the theory are considered.

DOI
10.1070/qe1976v006n04abeh011174

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Physical review. B, Condensed matter•Apr 1, 1993•45 citations
A theoretical analysis is made of the influence of ultrasonic vibrations in a sample containing Mössbauer nuclei on the propagation of resonant gamma radiation. The problem is tackled by simultaneous solution of the Maxwell equations and equations for the density matrix. An exact solution of the problem is obtained for continuous sources and observation conditions without any restrictions on the frequency and amplitude of ultrasonic vibrations. The dependence of the absorption of gamma rays on their polarization and on the absorber thickness is derived. It is shown that the propagation of gamma radiation across a system of resonant absorbers vibrating at the same frequency but with different phases depends on the relationship between the phases and the distances between the absorbers. Experimental applications of the theory are considered.
Coherent control of light and its interactions with matter is a key aspect of quantum optics. Nuclear resonant interactions enable coherent manipulation of photons at X-ray and γ -ray energies. One promising approach to manipulating γ -photons emitted by radioactive sources exploits ultrasonically vibrating nuclear resonant absorbers. However, previous studies have focused on unpolarized γ -radiation interacting with isotropic resonant media without exploiting polarization effects. Here, we demonstrate simultaneous temporal control of the waveform and polarization state of γ -photons by combining ultrasonic vibrations of magnetically ordered resonant absorbers with anisotropy in nuclear resonant scattering. This method allows interlinking phase differences of individual resonant interaction paths with their polarization dependence. A particular consequence is the possibility to form double-pulse γ -radiation sequences with tunable time-dependent polarization states. Using the reported method, coherent control of γ -photons can be expanded to polarization-based experiments and related applications in quantum optics can be further explored using a tabletop γ -optical setup.
The phase effects, appearing in a system consisting of a Mössbauer source and a Mössbauer absorber, both vibrating at ultrasonic frequency, are theoretically investigated. It is shown that the intensity of the transmitted recoilless radiation depends on both the absolute phase shift between the vibrations of the source and those of the absorber, and on the effective dephasing due to the finite propagation time of the electromagnetic wave between them (the so-called « distance effect »). The relation between the distance effect and general relativity theory is critically discussed.
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.
A method has been proposed to reconstruct at arbitrary time the spectral–temporal characteristics of a 14.4‑keV single-photon wave packet that is emitted by a 57Co source and is resonantly absorbed in the medium of 57Fe nuclei. The method is based on the frequency separation of the field emitted by the source and resonance nuclear polarization induced by this field by means of delayed acoustically induced transparency of the absorber, which appears after the activation of oscillations of the absorber at the corresponding frequency and amplitude. The proposed method has been compared to the known quantum-optical memory methods and methods of nuclear polarization control in the gamma-ray range. Experimental conditions have been proposed to implement the method. It has been shown that this method allows the implementation of the time-resolved Mössbauer spectroscopy of various media.
In this paper, we consider the effect of the emergence of transparency of a resonantly absorbing medium for electromagnetic radiation due to the excitation of piston-like acoustic oscillations of the medium along the direction of radiation propagation – acoustically induced transparency. The physical mechanism and basic conditions for the implementation of the effect are discussed, as well as its application to reduce the propagation velocity of gamma-ray photons and on-demand recovery of an arbitrary part of a single-photon wave packet resonantly absorbed in the medium.
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.