Measurements of the permittivity of a series of strontium titanate films of
various thicknesses at frequencies from 100 to 900GHz are reported, The pe
rmittivity was measured using Josephson junctions coupled to external reson
ators. The permittivity was found to decrease with decreasing film thicknes
s and was frequency independent. On application of a dielectric bias voltag
e, the permittivity of a 200nm film was tunable between 245 and 112 at 30K.