Peter and Meylan 2004b

Malte A. Peter and Michael H Meylan, The eigenfunction expansion of the infinite depth free surface Green function in three dimensions, Wave Motion, 40(1), pp 1-11, 2004.

Contained a new expression for the Free-Surface Green Function in infinite depth.

Abstract

A new representation of the infinite depth free surface Green function in three dimensions is derived. This representation is in the eigenfunction expansion of an outgoing wave centred at the source point of the Green function. Such a representation allows the calculation of the scattered potential in terms of the eigenfunctions of an outgoing wave. Furthermore this new representation of the Green function is found to compare favourably with existing representations in terms of its naive numerical evaluation. We also show that the eigenfunction representation can be retained in a new coordinate system which is not centred at the source point of the Green function.

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