Abstract

A hydrodynamic singularity distribution for an ideal wave focusing lens is derived on the assumption of its slenderness and high frequency of incident waves. The result indicates that its sectional shape should satisfy necessary conditions which are equivalent to geometrical optics. Some experiments and computations show that an array of submerged circular cylinders almost satisfy the above necessary conditions for a wide band of wave frequencies. Furthermore, using the slender ship theory, it is shown that a convex circular cylinder type gives better wave focusing performance than a flat plate type, which has been used in previous work, particularly in irregular waves.

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