The nonlinear response of a metallic film to the self-magnetic field of an
ac transport current is investigated theoretically. The nonlinearity is due
to a magnetodynamic mechanism which derives from the influence of the magn
etic field of the current on the dynamics of the conduction electrons and i
s most typical for pure metals at low temperatures. The nonlinearity leads
to a dependence of the surface impedance on the amplitude of the ac current
. It is shown that the real part of the surface impedance, which is respons
ible for the Joule losses, has a smooth maximum as a function of the amplit
ude. The imaginary part of the surface impedance is also a nonmonotonic fun
ction of the amplitude and has a minimum. (C) 2000 American Institute of Ph
ysics. [S1063-777X(00)00911-7].