Classical Thomson scattering(1)-the scattering of low-intensity light by el
ectrons-is a linear process, in that it does not change the frequency of th
e radiation; moreover, the magnetic-field component of light is not involve
d But if the light intensity is extremely high (similar to 10(18) W cm(-2))
, the electrons oscillate during the scattering process with velocities app
roaching the speed of light. In this relativistic regime, the effect of the
magnetic and electric fields on the electron motion should become comparab
le, and the effective electron mass will increase. Consequently, electrons
in such high gelds are predicted to quiver nonlinearly, moving in figure-of
-eight patterns rather than in straight lines. Scattered photons should the
refore be radiated at harmonics of the frequency of the incident light(2-8)
, With each harmonic having its own unique angular distribution(4-6). Ultra
high-peak-power lasers(9) offer a means of creating the huge photon densiti
es required to study relativistic, or 'nonlinear' (ref, 6), Thomson scatter
ing. Here we use such an approach to obtain direct experimental confirmatio
n of the theoretical predictions of relativistic Thomson scattering. In the
future, it may be possible to achieve coherent(10,11) generation of the ha
rmonics, a process that could be potentially utilized for 'table-top' X-ray
sources.