Compton Scattering:
When passing through matter, photons can interact with the electrons of the matter. The
Compton scattering describes an inelastic scattering of a photon with a free electron. If the
electron' s initial binding energy is small compared to the photon energy (En << hV ) then the
stuck electron can be considered initially free and unbound. Figure 10 shows this inelastic
scattering process. The kinematics of this scattering (conservation of momentum and energy)
lead to the energy of the scattered photon hv and to the energy of the scattered electron Es:
E = hv Y p~~
hv=c, v
PY hy'l',Y
Figure A-2. Sketch of Compton scattering, photon of energy hv collide with an electron. The
photon's incident forward momentum is hvl/c, where c is the speed of light in
vacuum
Based on the unbound and stationary condition of the electron, the Compton relation can
be obtained by solving energy conservation equations
T = hv hv (A-1)
And conservation of momentum