Abstract
The aim of this work is to clarify the validity of ship wave ray theories at and near the ship's surface. As previous numerical investigations have led to ambiguities due to a breakdown of the ray analysis near the bow and stern stagnation points, care has been taken for the surface tension effect in order to offset such deficiencies; so that the wave length never surpasses a positive minimum length, which is attained at the boundary of a finite waveless zone around a stagnation point. It was found, however, that the ray equations degenerate at these boundaries and that rays can be traced into the far field only if their starting point is selected outside a finite belt surrounding the waveless zone. For a class of bi-circular prismatic struts of infinite downward extent, two alternative formulations of the free surface condition and their implications for the ray geometry were investigated.
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