Analyses of the problems of multicolored wave diffraction by porous circular dock and disk*

By using the theories on diffracted water wave in two layer ocean, the paper analyzes the problems related to Stokes second order multicolored wave diffraction by two kinds of typical porous structures, including a semi-immersed circular dock being porous on radial body surface and a submerged disk with porous vertical body surface. With the use of an eigenfunction expansion approach and Green second integral, the analytical solutions to first order wave diffraction and integral solutions to second order diffracted wave effects on porous structures are given.