A modified version of the mild-slope equation is derived and its predi
ctions of wave scattering by two-dimensional topography compared with
those of other equations and with experimental data. In particular, th
e modified mild-slope equation is shown to be capable of describing kn
own scattering properties of singly and doubly periodic ripple beds, f
or which the mild-slope equation fails. The new equation compares favo
urably with other models of scattering which improve on the mild-slope
equation, in that it is widely applicable and computationally cheap.