Parametric X-rays from ultrarelativistic electrons in a crystal : theory and possibilities of practical utilization

Baryshevsky, V.G.; Феранчук, И. Д.

doi:10.1051/jphys:01983004408091300

Cited by 104 publications

(71 citation statements)

References 8 publications

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“…The theoretical description of the intensity distribution of PXR [51,52,45,53,54], suitably modified for self-absorption and multiple-scattering effects, has been tested for a broad range of electron energies extending from 3.5 MeV [55,56] to about 1 GeV [46]. It was found to be accurate within 12%.…”

Section: Parametric X-radiationmentioning

confidence: 99%

Coherent X-rays at MAMI

et al. 2006

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Abstract. Coherent radiation in the range from soft X-rays up to hard X-rays, produced by the lowemittance electron beam of MAMI, can be used for various applications. Novel types of interferometers have been developed for the measurement of the complex index of refraction of thin self-supporting foils. For the vacuum ultraviolet and soft X-ray region the interferometer consists of two collinear undulators, and a grating spectrometer. A foil placed between the undulators causes a phase shift and an attenuation of the oscillation amplitude. The complex index of refraction has been measured at the L 2,3-absorption edges of nickel. A novel method is described for the measurement of the X-ray magnetic circular birefringence. For the hard X-ray region the interferometer consists of two foils at which the 855 MeV electron beam produces transition radiation. Distinct interference oscillations have been observed as a function of both, the photon emission angle and the distance between the foils. The refractive index decrement δ(ω) of a 2 µm thick nickel sample foil has been measured at X-ray energies around the K absorption edge at 8333 eV and at 9930 eV with an accuracy of better than 1.5 %. The line width of parametric X radiation (PXR) was measured in backward geometry with a Si single-crystal monochromator. Upper limits of the line width of 42 meV, 50 meV, and 44 meV, have been determined for the (333), (444) and (555) reflections at photon energies of 5932 eV, 7909 eV, and 9887 eV, respectively. Small angle scattering of the electrons in the crystal leads to a stochastic frequency modulation of the exponentially damped wave train which results in the line broadening. To elucidate the quest if the production of PXR is a kinematical or a dynamical process the radiation from silicon single-crystal targets, emitted close to the electron direction, has been studied. The observed interference structures and the narrow-band radiation in forward direction shows that PXR is produced in a dynamical process. .Ci Optical constants (including refractive index, complex dielectric constant, absorption, reflection and transmission coefficients, emissivity) -41.60.-m Radiation by moving charges -41.50.+h X-ray beams and X-ray optics PACS.

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Section: Parametric X-radiationmentioning

confidence: 99%

Coherent X-rays at MAMI

et al. 2006

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“…Currently, there are two approaches to describing PXR: kinematic [5,6] and dynamic [7][8][9]. The kinematic approach takes into account interaction of every atom with the primary or refracted wave in the crystal.…”

Section: Introductionmentioning

confidence: 99%

Parametric x-ray radiation of a relativistic electron under conditions of asymmetric reflection

Blazhevich

Носков

2008

Russ Phys J

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537.8Coherent x-ray radiation of a relativistic electron crossing a single-crystal plate in the Laue scattering geometry is considered in a two-wave approximation of the dynamic diffraction theory [1]. Analytical expressions describing the spectral-angular distribution of parametric x-ray radiation (PXR) and diffraction transition radiation (DTR) formed on the atomic planes located at an angle δ to the crystal plate surface (asymmetric scattering) are derived. Dependence of the spectral-angular density of PXR, DTR, and their interference term on the angle δ is investigated.

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“…The theory of parametric X-ray radiation (PXR) of a relativistic particle in a crystal predicts radiation not only in the Bragg scattering direction but also along the velocity of a radiating particle (FPXR) [1][2][3]. Due to extensive experimental attempts made to study FPXR [4][5][6], a theoretical description of its mechanism appears to be urgent.…”

Section: Introductionmentioning

confidence: 99%

Parametric x-ray radiation along the velocity of relativistic electron in a Bragg scattering geometry

Blazhevich

Носков

2007

Russ Phys J

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Based on the dynamic scattering theory, forward parametric x-ray radiation (FPXR) of a relativistic electron is investigated in a single crystal plate in a Bragg scattering geometry. Analytical expressions for the spectralangular distribution of FPXR and transition radiation (TR) including the crystal surface orientation with respect to a system of diffracting atomic planes are derived, which allow one to identify the conditions under which a contribution from FPXR is considerable even in the case of a thick absorbing crystal.

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Parametric X-rays from ultrarelativistic electrons in a crystal : theory and possibilities of practical utilization

Cited by 104 publications

References 8 publications

Coherent X-rays at MAMI

Coherent X-rays at MAMI

Parametric x-ray radiation of a relativistic electron under conditions of asymmetric reflection

Parametric x-ray radiation along the velocity of relativistic electron in a Bragg scattering geometry

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