  The magnetic field is one of the most important constituents of the cosmic
space and one of the main sources of the dynamics of interacting matter in the
universe. The astronomical observations imply the existence of a strong
magnetic fields of up to $10^4-10^8G$ near supermassive black holes in the
active galactic nuclei and even around stellar mass black holes. In this paper,
with the quantum scattering theory, we analysis the Schr\"{o}edinger-type
scalar wave equation of black hole immersed in magnetic field and numerically
investigate its absorption cross section and scattering cross section. We find
that the absorption cross sections oscillate about the geometric optical value
in the high frequency regime. Furthermore in low frequency regime, the magnetic
field makes the absorption cross section weaker and this effect is more
obviously on lower frequency brand. On the other hand, for the effects of
scattering cross sections for the black hole immersed in magnetic field, we
find that the magnetic field makes the scattering flux weaker and its width
narrower in the forward direction. We find that there also exists the glory
phenomenon along the backforward direction. At fixed frequency, the glory peak
is higher and the glory width becomes narrower due to the black hole immersed
in magnetic field.
