The acoustic response from a buried diffractor

McGinn, Andrew (1980) The acoustic response from a buried diffractor. University of Southampton, Doctoral Thesis.

Abstract

To assist with the interpretation of data gathered using some of the methods presently employed in the remote sensing of the Earth a better physical understanding of the interaction between the type of energy used and the target is required. The predicition problem, which considers the field at a detector in the presence of a scatterer or emitter, is examined for two of the active remote sensing systems, one of which uses microwaves the other seismic waves to illuminate the target. The simplified mathematical descriptions of the two methods together with the approximate theories used to solve them are shown to be similar so that the scalar problem that is dealt with in depth is also indicative of the solution of the identical vector formulation that should be considered for eletromagnetic propagation. The scalar model is considered since it has two main advantages, the first is that the source can be assumed to be localised at a point, the second is that the solution can be readily understood. The problem solved is a generalisation of one considered by A.Trorey in that the velocity potential in the presence of a finite flat scatterer located in one of two half spaces is derived. The solution which contains several integrals is then evaluated in such a manner that the resulting convolution between the source and surface response function is of a simple nature. The derivation of the expression requires a form of the tangent plane approximation to be used so the range of consistency of this method is also investigated.

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