The equations of motion for the Raman and hyper-Raman conversion effect of atomic polarization are presented. At the same time, an experimental scheme previously used in the micromaser is proposed, which allows the determination of the number of atoms in the excited or in the ground state using the ionization method from the deaf cavity. Therefore, a method is proposed to link the number of atoms that have passed in the basic state of the induced-cooperative process of Stokes-type photon transformation in anti-Stokes (AS) photons in the case of Raman emission (RE) (following the micromaser model) or the transformation of photon pairs in the case of hyper-Raman emission (HRE)/