Selection rules in magnetic superlattices and efficient spin inversion devices

Analysing spin transport of quasi-2D electrons gas moving through a semiconductor wave guide subject to a sectionally homogeneous tilted magnetic field, we found well-defined selection rules for resonant and antiresonant transmission. Based on this selection rules and the band shift induced by the magnetic field strength and tilting angles, we propose an efficient spin inversion device. For polarised incoming electron beams, we can determine from our theoretical approach, physical conditions (field strength and tilting angle) for spin inversion efficiency up to $80 \%$. We visualise this mechanism in terms of conductance and the wave function amplitude and phase bahavior along the superlattice. We discuss several examples with different geometrical parameters and magnetic strength values.