Nondestructive Testing and Target Identification

Abstract

This grant is concerned with three problems that are related to Air Force needs: 1) The extension of the linear sampling method in target identification from the frequency domain to the time domain, 2) the development of the theory of transmission eigenvalues in nondestructive testing to include the cases of materials involving thin layers and multiple small inhomogeneities, and 3) the use of transmission eigenvalues in nondestructive testing with applications to airplane canopies and related problems. The main accomplishments during the period of this report were: 1. The investigation of the linear sampling method in the time domain for limited aperture data and for objects in a waveguide. 2. The use of asymptotic methods to investigate the transmission eigenvalue problem for inhomogeneous media that contains small penetrable homogeneous inclusions and thin layers and the use of linear sampling methods to detect the delamination of materials. 3. The use of Stekloff eigenvalues in the nondestructive testing of anisotropic, absorbing inhomogneous media.

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Document Details

Document Type
Technical Report
Publication Date
Dec 21, 2016
Accession Number
AD1023461

Entities

People

  • David Colton
  • Fioralba Cakoni
  • Peter Monk

Organizations

  • University of Delaware

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Air Force Research Laboratories
  • Computational Science
  • Differential Equations
  • Eigenvalues
  • Equations
  • Frequency
  • Frequency Domain
  • Integral Equations
  • Inverse Problems
  • Inverse Scattering
  • Materials
  • Mathematics
  • Refractive Index
  • Time Domain
  • Waveguides

Readers

  • Calculus or Mathematical Analysis
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Structural Health Monitoring of Composite Structures.