  We present the results of studying the parameters of the magnetic MX
resonance in an all-optical sensor built according to the two-beam Bell-Bloom
scheme in nonzero ultra-weak magnetic fields in which the effects of
spin-exchange broadening suppression are partially manifested. We report on the
features of the resonance under these conditions. We also optimize the
resonance parameters to achieve maximum sensitivity in magnetoencephalographic
sensors. We demonstrate an improvement in the ultimate achievable sensitivity
of an all-optical MX sensor by a factor of four or more, which in our
experiment corresponds to a decrease from 13 to 3 fT/Hz1/2 in a volume of 0.13
cm3. We also report the effect of incomplete suppression of spin-exchange
broadening under conditions of strong transverse modulated optical pumping, and
propose a semi-empirical model to describe it.
