X-rays from relativistic electrons crossing a multilayer nanostructure

Diffracted diffraction radiation and its application to beam diagnostics

“…PXR and DTR can be produced not only by crystals, where the lattice parameter limits the wavelength range of the generated radiation to < 2 , but also by artificial periodic structures with an arbitrary lattice parameter, which are often called multi-layered X-ray mirrors [24,25]. Increasing the lattice parameter up to several tens of nanometers will increase to several millimeters and allow us to measure linear collider electron beam parameters in the particle energy region of 20-500 GeV.…”

Spectrum of coherent VUV radiation generated by 5.7 MeV electrons in a multilayer X-ray mirror

“…In our case, the ratio of the thickness of the light layer 𝑎 to the thickness of the heavy layer 𝑏 is the parameter 𝛽 = 𝑎/𝑏 = 2 and 𝜒 𝑎 (ℏ𝜔), and 𝜒 𝑏 (ℏ𝜔) are their corresponding susceptibilities (figure 1). Further details are described in appendix [7,8]. Consider the main spectral and angular properties of DTR and PXR presented in figure 2.…”

“…The use of shorter wavelength radiation will mitigate the impact of coherent effects characteristic of methods that employ optical radiation [4,5] and reduce the contribution to imaging of the fundamental diffraction limit [6]. In this paper, we present the numerical simulations of the properties of the RPS consisting of PXR and DTR generated in the VUV region, based on the theoretical works [7,8]. These studies were carried out using a periodic target consisting of 50 pairs of Mo/Si layers with a period d = 11.32 nm interacting with the electron beam with a total electron energy of 5.7 MeV.…”

Diffracted transition radiation of relativistic electrons in an artificial periodic structure

“…1). The relation between the dynamic additions λ 0 and λ g for X ray waves is (11) Because the dynamic additions are small and it can be shown that θ ≈ θ' (Fig. 1); therefore, θ' will denote the angle θ in what follows.…”

“…At the same time, the Coulomb field of the charged particle crossing the crystalline plate is scattered by a system of parallel atomic crystal planes, thus generating parametric X ray radiation (PXR) [5][6][7]. These radiation mecha nisms in the two wave approximation of dynamic dif fraction theory were considered in [8][9][10][11] in the case of the symmetric reflection scheme in which the sys tem of diffracting atomic crystal planes was perpendic ular (in the case of Laue scattering geometry) and par allel (in the case of Bragg scattering) to the surface of a crystal plate. In the general case of asymmetric radi ation reflection from a plate in which the diffracted atomic planes form an arbitrary angle with the plate surface, dynamic effects in PXR and DTR were con sidered in [12][13][14][15], where it was shown that the radia tion yields can be significantly increased by varying the reflection symmetry.…”