We report on investigations of the nonlinear behavior of thin films of
YBa2Cu3O7 by the method of phase-resolved microwave harmonic mixing b
oth with and without an applied static magnetic field at low microwave
power levels. Temperature dependent measurements on high quality film
s show that nonlinearities appear only in the superconducting transiti
on region. The dependence of the nonlinear signal on the microwave fie
ld strength E(omega) exhibits an E(omega)2.2-power law. No dependence
on the strength of a magnetic field up to 300 G was found. The mixing
results are compared to those of harmonic generation experiments done
by other groups. The possible mechanisms for the nonlinear behavior ar
e discussed.