We present and apply a theory for the coherence effects in spatially inhomo
geneous layered superconductors. The theory is based upon a comparison of d
e Gennes's self-consistent equation for the pair potential to that of alter
native proximity-effect models, from which the generalized, space-dependent
BCS probability amplitudes u's and v's are obtained. Recent microwave surf
ace impedance data of Pambianchi et al. on Nb/Cu bilayers are successfully
reproduced.