“…From the point of view of controlling the parameters of various processes in a medium, it is of interest to investigate the influence of external fields, such as acoustic waves, temperature gradient etc., on the corresponding characteristics. The considerations of concrete processes, such as diffraction radiation [4], transition radiation [5], parametric X-radiation [6], channelling radiation [7], bremsstrahlung by high-energy electrons [8], have shown that the external fields can essentially change the angular-frequency characteristics of the radiation intensities. Motivated by the fact that the basic source for the creation of positrons for high-energy electron-positron colliders is the electron-positron pair creation by high-energy photons, in [9] we have investigated the influence of the hypersonic wave excited in a crystal on this process.…”