“…The method [14] is based on the PXR kinematic theory [15] and dynamic x-ray diffraction theory using the Darvin and Prins approach for x-ray multiple rediffraction on the crystal planes [16,17]. This allows the description of the absolute coherent emission yield and the emission angular distributions for a pointlike electron beam with an error of less than 15% [18].…”
Section: Accounting For the Spatial Dimensions Of The Electron Beammentioning
A technique is proposed for determining beam dimensions on a target by measuring two-dimensional angular distributions of the radiation for two distances between the crystal where the radiation is generated and a coordinate detector. The dimensions are determined from the results of a least squares method procedure with varying parameters, where the adjustable function is the distribution for a shorter distance and the fitting function is the convolution of the angular distribution at a greater distance with a twodimensional Gaussian distribution whose parameters are uniquely related to the beam dimensions on the target and the distances between the crystal and the detector. The minimum measured beam sizes are about 50-60 μm for the parametric x-ray mechanism and an electron energy of less than 1 GeV and 10-15 μm for the mechanism of diffracted transition radiation and electrons with an energy above several GeV.
“…The method [14] is based on the PXR kinematic theory [15] and dynamic x-ray diffraction theory using the Darvin and Prins approach for x-ray multiple rediffraction on the crystal planes [16,17]. This allows the description of the absolute coherent emission yield and the emission angular distributions for a pointlike electron beam with an error of less than 15% [18].…”
Section: Accounting For the Spatial Dimensions Of The Electron Beammentioning
A technique is proposed for determining beam dimensions on a target by measuring two-dimensional angular distributions of the radiation for two distances between the crystal where the radiation is generated and a coordinate detector. The dimensions are determined from the results of a least squares method procedure with varying parameters, where the adjustable function is the distribution for a shorter distance and the fitting function is the convolution of the angular distribution at a greater distance with a twodimensional Gaussian distribution whose parameters are uniquely related to the beam dimensions on the target and the distances between the crystal and the detector. The minimum measured beam sizes are about 50-60 μm for the parametric x-ray mechanism and an electron energy of less than 1 GeV and 10-15 μm for the mechanism of diffracted transition radiation and electrons with an energy above several GeV.
“…The presence of the bright peak in the angular radiation distribution [16,23], whose form is like that of the angular PXR distribution, in Figs. 1 and 3, makes it possible also to use the above procedure to determine the dimensions of a high-energy electron beam.…”
Section: We Assume Thatmentioning
confidence: 77%
“…Simulation was performed by means of the Monte Carlo method for the parameters of an HR25 detector [22] used in the experiment [8], where a P43 scintillator with the chemical composition Gd 2 SO 2 and a thickness of 30 μm was used. The procedure for simulating the detector parameters was given in [23].…”
The possibility of implementing a previously proposed procedure for determining the beam dimensions at a target is analyzed; it includes the measurement of two-dimensional angular distributions of the coherent radiation of fast electrons for two distances between a crystal, where radiation is generated, and a coordinate detector. The use of two mechanisms of parametric X-ray radiation and diffracted transition radiation is considered. The limits of the method sensitivity and the influence of the departure of secondary electrons and photons on them are discussed.
“…The target thickness was greater than the characteristic length of photons diffraction process in the crystal ext ≈ 1.87 μm for this reflection order and the photon energy, see Refs. [22,23] and reference therein. The detection system was located 10 m from the crystal at an angle of Θ D = 2Θ B = 90 • .…”
Section: Calculation Results and Discussionmentioning
confidence: 99%
“…This approach allows us to describe the contribution of the diffracted photons, such as bremsstrahlung and TR, in experimentally measured yields of electron emissions at Bragg angles with an error less than 20% [23].…”
We present theoretical considerations for diffracted diffraction radiation and also propose an application of this process to diagnosing ultra-relativistic electron (positron) beams for the first time. Diffraction radiation is produced when relativistic particles move near a target. If the target is a crystal or X-ray mirror, diffraction radiation in the X-ray region is expected to be diffracted at the Bragg angle and therefore be detectable. We present a scheme for applying this process to measurements of the beam angular spread, and consider how to conduct a proof-of-principle experiment for the proposed method.
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