Mathematical Model of Radiation Conductivity and Electron Emission in Wide-Gap Dielectrics

A complete mathematical model of the generation of radiation and electromagnetic effects inside crystalline dielectrics and at their surface has been constructed. The case of exposure to powerful flows of soft X-ray radiation is considered. The mathematical model is based on the photon and electron transport equations, kinetic equations for photoelectrons, and semi-classical kinetic equations for secondary charge carriers. The system of equations is closed by self-consistent Maxwell equations. The transport equations consider in detail the processes of the electron-photon cascade. For secondary charge carriers, conduction electrons, and valence band holes, the processes of scattering by phonons are taken into account. A comparison of the results obtained using simpler models with the results of applying the complete mathematical model is provided.