The problem of determining the radiation field of a point charged particle in a cylindrical resonator with a multilayer wall is considered. An idealized case is considered: the resonator consists of a segment of a multilayer cylindrical waveguide of finite length, closed on both sides by infinitely thin ideally conducting surfaces. In this case, the radiation field of the particle can be considered separately in three regions independent of each other: inside the resonator and on both sides of it. The axes of the boundary cylindrical surfaces separating the layers coincide with the axis of the waveguide. The number of layers constituting the wall is arbitrary. They can be filled with both metallic materials (with finite conductivity) and dielectrics (with and without losses).

А semi-infinite waveguide with a multilayer wall, the input aperture of which is covered by an infinitely thin ideally conducting plane is being considered. The regularities of the propagation of wave fronts of transition radiation and wake radiation accompanying the motion of a particle are determined for a single-layer resistive and a two-layer copper-dielectric waveguide. For the same cases, the zones of formation of transition radiation (separation of the latter from the field of the particle charge as a result of the difference in propagation velocities) are determined.

The operation of particle accelerators subjects shielding materials to high thermomechanical and irradiation stresses. This study offers a theoretical and computational investigation of the radiation-tolerant properties of TiO₂–ZrO₂ nano-oxide composites. The combination of defect-sensitive TiO₂ (high efficiency for charge trapping) and phase-stable ZrO₂ (transformation toughening) would enhance the irradiation stability of the material. DFT+U and MD simulations were used to investigate equimolar ZrTiO₄ and ZrO₂-enriched (1:9) compositions. Classical MD calculations and DFT relaxation of resulting displacement cascades enabled the evaluation of defect formation energy, evolution of electronic structure and band gap, and stability under realistic accelerator irradiation conditions (fluences up to 5 MeV electron irradiation). It was found that the ZrO₂-enriched composition exhibits better radiation stability characterized by higher oxygen vacancies formation energies, negligible bandgap narrowing, and lower morphological degradation. The role of TiO₂ is related to defect trapping whereas ZrO₂ contributes to mechanical stability, thus showing the presence of synergism. Results could form the predictive basis for future experiments at the CANDLE synchrotron employing irradiation with high-dose X-rays and 5 MeV electrons, followed by SEM/EDS and photoluminescence analyses.

The beam trace resulting from electron beam irradiation of glass plates can be photographed on the plates and the distribution of beam particles on the transversal plane can be obtained as a result of digital image processing, which can be used in the calculation of absorbed dose transversal profile and numerical modeling of beam interaction with the target in the irradiation experiments. The digital image processing method will allow the glass plate irradiation method to be used as an electron beam detector as well.