Kinetic inductance of high T(c) superconducting thin films is studied
using numerical simulation of the Ginzburg-Landau (GL) theory. It is s
hown that a current distribution in the film changes nonlinearly with
a bias current supplied to the film, which results from the nonlinear
properties of the GL equation. Using the current distribution, the kin
etic inductance of the film is obtained as a function of the bias curr
ent. It is shown that the kinetic inductance is constant for low bias
currents, and increases nonlinearly with the bias current when the bia
s current becomes large. The effect of the film geometry on the modula
tion of the kinetic inductance is quantitatively studied. Analytical s
olutions for the current distrubiton and the kinetic inductance are al
so obtained, which agree well with the simulation results. The modulat
ion of the kinetic inductance with the bias current predicted from the
theory is partly confirmed from experiments using YBaCuO films.