An exact solution is found for the transit through resonance in a spin system described by Bloch equations for $T_1=T_2=T$ with a special form for the external fields. It is shown in particular that one can obtain an inversion in the magnetization vector on rapid transit through resonance with comparatively weak HP fields if the nutation frequency for the magnetization vector is equal to twice the frequency of the external-field vector rotation in the rotating coordinate system.
Department of Microwave Frequency Radiophysics, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
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