Acoustic Target Reconstruction Using Geometrical Optics Phase Information

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 back scattered direction determines the equation of the tangent plane at the unique, but unknown, specular point. This plane depends upon the two spherical angles theta and phi which describe the incident wave direction. The observation that the tangent plane envelopes the obstacle as theta and phi are varied, allows the derivation of an explicit formula for the equation of the surface in terms of the measured scattered phase. An analogous two-dimensional formula is also presented.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1987
Accession Number
ADA250441

Entities

People

  • G. A. Kriegsmann

Organizations

  • New Jersey Institute of Technology

Tags

DTIC Thesaurus Topics

  • Acoustic Waves
  • Curvature
  • Differential Cross Sections
  • Differential Equations
  • Eigenvalues
  • Equations
  • Frequency
  • Geometry
  • Inverse Scattering
  • Leading Edges
  • Mathematics
  • Partial Differential Equations
  • Phase
  • Phase Measurement
  • Square Roots
  • Two Dimensional
  • Waves

Fields of Study

  • Physics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering