  We have employed our recently developed Green's function formalism to study
the dielectric behavior of a model membrane, formed by two periodic interfaces
separating two media of different dielectric constants. The Maxwell's equations
are converted into a surface integral equation; thus it greatly simplifies the
solutions and yields accurate results for membranes of arbitrary shape. The
integral equation is solved and dielectric dispersion spectrum is obtained for
a model corrugated membrane. We report a giant dielectric dispersion as the
amplitude of corrugation becomes large.
