Abstract
A new method for realistic treatment of the bottom in the parabolic approximation in underwater acoustics is presented. The method utilizes a finite difference scheme for the numerical implementation of the parabolic equation and the boundary condition is introduced to the problem in the form of an impedance condition. The impedance condition for the fluid half-space bottom can be implemented analytically, while total numerical implementation is necessary for a general type bottom. A characteristic type of bottoms that can be handled by this method is the homogeneous elastic half-space. The reliability of the method is confirmed by examples where the results obtained by the method are compared with well-known results of reference problems.
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