In this paper the plane-wave scattering matrices for a range-dependent seab
ed and upper free surface are computed using the Rayleigh hypothesis at the
surfaces. These matrices can then be used to compute the pressure field wi
thin a waveguide bounded by these surfaces; they can also be easily combine
d with the scattering matrix characterizing an object. Computational exampl
es are given for range-dependent acousto-elastic waveguides and the fields
compared with those computed by other methods. An example with a steel cyli
nder in the waveguide is also shown. (C) 1999 Acoustical Society of America
. [S0001-4966(99)04407-0].