抄録
Time-dependent and independent wave equations are developed for waves propagating over a porous rippled layer, with rapid undulations about the mean water depth satisfying the mild slope assumption, on an impermeable slowly varying bottom also satisfying the mild slope assumption. The ripples are assumed to have wavelengths of the same order as those of surface gravity waves. The time-dependent equation developed here contains the existing theories of Berkhoff (1972) and Kirby (1986). A parabolic approximation is applied to the time-independent wave equation, and coupled parabolic equations are developed. Using these equations, the Bragg scattering is analyzed.
