Two- and three-photon electron spin echoes of a two-level system are observ
ed using, in addition to the microwave excitation, a linearly polarized rad
io-frequency field oriented along the static magnetic field B-0. Such multi
photon echoes are detected when the sum of the energies of one microwave an
d one or two radio-frequency photons are equal to the difference between en
ergies of two spin states. The multiphoton character of the echoes is confi
rmed by measuring the spin nutation frequency as a function of the angle be
tween the radio-frequency field and B-0, and monitoring the echo amplitude
as a function of the radiation field strengths. Floquet theory, usually app
lied for the description of multiphoton resonances with an odd number of ph
otons, is extended to the case where an even number of photons participate
in the transition. (C) 2000 Academic Press.