  We study the two-magnon non-resonant Raman scattering in the (pi,pi) and
(pi,0) ordered antiferromagnetic phases of a J1x-J1y-J2-Jc Heisenberg model on
the tetragonal lattice within the framework of the spin-wave theory. We discuss
the effects of various tuning factors to the two-magnon Raman spectra. We find
that both the magnetic frustration J2/J1 and the interlayer exchange coupling
Jc may significantly affect the spectra in both the B1g and A1g' channels in
the (pi,pi) Neel ordered phase. Moreover, we find a splitting of the two-magnon
peak in the (pi,0) antiferromagnetic phase. We further discuss the implications
of our results to the BaMnBi2 and iron pnictide systems.
