Scattering of acoustic plane waves from a multi-layer medium with a ro
ugh interface is studied theoretically and numerically in the present
paper. The solution is based upon a multi-layer wave reflection model
and a single rough interface scattering model. A Gaussian and random r
oughness is assumed for the rough interface. It turns out that the rms
-height (h) and the correlation-length (L) of the rough interface are
the two governing parameters for the scattered wave field. The scatter
ed wave field is compared with the basic reflection pattern from a mul
ti-layer model without interface roughnesses. The present model forms
a good analogy to a layered seabed or a layered ice structure.