To calculate the response of an image receptor to the x rays emerging
from a scattering medium, it is necessary to know the x-ray spectrum a
nd intensity as a function of the angle of incidence on the receptor.
To permit this calculation for any x-ray spectrum incident on a medium
, these functions must be known for monoenergetic x rays. For monoener
getic x rays in the range 20-70 keV we have measured with a high-purit
y germanium detector the spectrum,and intensity of x rays emitted from
a water phantom at angles of 0 degrees-50 degrees to the direction Of
the primary beam. The spectrum and intensity of emitted x rays have a
lso been calculated by the Monte Carlo method. At small exit angles, m
ost of the x rays have energies close to the incident energy. As the e
xit angle increases, the fraction of multiply scattered x rays increas
es. At very large exit angles, the dominant feature of the spectrum is
the peak due to these multiply scattered x rays. For small scattering
angles the Monte Carlo calculations are in good agreement with the me
asurements over the range of energies. For large scattering angles the
scattered photon fluence predicted by Monte Carlo modeling is consist
ently lower than the measurement in the region just below the full ene
rgy peak. The cause of the discrepancies is not fully understood, but
cannot be accounted for by Compton broadening alone. An alternate appr
oach to model incoherent scattering is proposed.