We analyze radiation reaction for synchrotron radiation by computing, via a
multipole expansion, the near field and derive from it the Lorentz four-fo
rce, which we evaluate on the world-line of the charge. We find that the te
mporal component of the self four-force agrees with the radiated power, whi
ch one calculates in the radiation zone. This is the case for each mode in
the multipole decomposition. We also find agreement with the Abraham-Lorent
z-Dirac equation. (C) 2000 American Association of Physics Teachers.