Acoustic target reconstruction using geometrical optics phase information

Document Type

Article

Publication Date

12-1-1992

Abstract

In this note, a simple algorithm which uses the phase information from the geometrical optics limit to construct the shape of an object is presented. Essentially, the phase in the backscattered direction determines the equation of the tangent plane at the unique, but unknown, specular point. This plane depends upon the two spherical angles θ and φ, which describe the incident wave direction. The observation that the tangent plane envelops the obstacle as θ and φ are varied allows the derivation of an explicit formula for the euation of the surface in terms of the measured scattered phase. An analogous two-dimensional formula is also presented. © 1992 Oxford University Press.

Identifier

0039343301 (Scopus)

Publication Title

IMA Journal of Applied Mathematics Institute of Mathematics and Its Applications

External Full Text Location

https://doi.org/10.1093/imamat/48.3.243

ISSN

02724960

First Page

243

Last Page

247

Issue

3

Volume

48

Grant

AFOSR-91-0252

Fund Ref

Office of Naval Research

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