The Mz-signal in the double RF-optical resonance in the ground state of an alkaline atom with the nuclear spin 3/2 in a weak dc magnetic field H is mathematically simulated in the approximation of a rotating RF field H1 of arbitrary strength. The evolution of the dependence of the resonance signal on the frequency of the field H1 as its strength increases is examined. Particular attention is paid to the four-quantum resonance between the sublevels mF = 2, whose frequency is strictly proportional to the dc field strength H (in contrast to all other transitions). The frequency of this resonance is shown to be virtually independent of the field H1 (again, in contrast to all other multiquantum resonances). Finally, the steepness of this resonance may significantly exceed that of conventional (single-quantum) resonance. It is concluded that the four-quantum resonance in potassium vapors is promising for the purposes of studies on the magnetometry of the Earth’s field.
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