The density-functional theory is employed to calculate the response of
simple-metal surfaces, represented by the semiinfinite stabilized-jel
lium model, to a static electric field oriented normal to the surface.
The electron density distributions calculated self-consistently for t
he neutral metal and in the presence of a weak external field are used
to determine the first moments of the linear and second-order induced
charge density distributions. The static image plane position determi
ned by the centroid of the linearly induced density is compared with t
he results for ordinary jellium. The calculated Rudnick-Stern paramete
r, which is a measure of the normal component of the second-harmonic r
esponse, is significantly reduced for high density metals and slightly
increased for low density metals relative to the corresponding values
for jellium.