The gyrotron-based complexes developed by IAP RAS are used now for many applications, such as sintering of nanostructured ceramics, metal compacts and metal-ceramic composites, CVD growth of diamond films and disks, and generation of multi-charged ion beams [1][2][3]. These systems typically operate in 24-28 GHz frequency range with a power of 5-15 kW. As a source of microwave radiation, the systems use CW gyrotrons operating in magnets with oil or water cooling (so called technological gyrotrons). To reduce power consumption of magnets, gyrotrons operate on second cyclotron harmonic.Nowadays applications of gyrotron-based setups become more demanding in terms of output power. Also new applications appear that require high power, for example fabrication of metal oxides nanopowders [4] or production of oversized diamond disks for vacuum windows.At present, a powerful gyrotron complex is being developed at the Institute of Applied Physics of the Russian Academy of Sciences, which includes a "warm" solenoid with magnetic shielding [5,6] (see Fig. 1). Due to ferromagnetic screens, it is possible either to reduce the energy consumption of the solenoid in more than two times, or to increase the frequency of radiation while maintaining the energy of the magnetic system. The main parameters of the gyrotron are: At the same time ferromagnetic screens substantially increases the inhomogeneity of the magnetic field outside the screens, in particular in the collector region. So here the coefficient of non-adiabaticity H = h/L B (here h is the step of electron trajectory, L B is the scale of the magnetic field) exceeds 2 (see Fig. 2).Due to nonstandard distribution of the magnetic field in such systems and increased energy of an electron beam, collector of a gyrotron with magnetically shielded solenoid would differ significantly from collector of a standard technological gyrotron. The intensity of the magnetic field outside the shielding decays very rapidly; due to this, the motion of the electrons will be nonadiabatic. In this report, a collector design is presented and the simulation of the motion of electrons in the collector region is carried out. The results of the simulation (see Fig. 3) show that, due to the rapid decay of the magnetic field, electrons, falling into the region of the nonadiabatic field, acquire a transverse velocity and twist, starting to move downward along the radius. Then, when the magnetic field almost completely decays, the electron beam continues to fly apart inertially, while the direction of motion of the electrons is determined by the angle of the velocity vector at the exit from the region where the magnetic field is still significant. The inertial expansion of the electron beam provides a large ratio of the beam track length to the radius of the collector Rc and a smooth energy density distribution within the track. However it is possible to use this effect