Mathematical Studies of Wavelet Inverse Reconstructions for Nondestructive Evaluation, Novel Dielectrics, and the Dispersion from Chaotic Motions in Water

Abstract

Wavelet inverse methods for non-destructive evaluation of high technology materials using transient pulses of ultrasound have been developed using the Kullback-Liehler information. This selects scales with small energy wavelet coefficients which have large information content. Wavelet aliasing by all compactly supported orthonormal wavelet families has been proven, and pathological multiresolutions were ruled out by shoosing the correct group for the films; SU(2). The PBGS, photonic band gap structures, have been studied for electromagnetic and elastic waves. These periodic, two-component dielectrics have been studied with loss-tangent (dissipation) dispersion and lattice-disorder. Localized defects have been studied. An elastic wave filter and a gap opened by the high contrast of waver at microwave frequencies were found.

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Document Details

Document Type
Technical Report
Publication Date
May 06, 1998
Accession Number
ADA345581

Entities

People

  • Brian Defacio

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Biomedical
  • C4I

DTIC Thesaurus Topics

  • Band Gaps
  • Band Structures
  • Dielectrics
  • Elastic Waves
  • Energy Bands
  • Engineering
  • Frequency
  • Information Theory
  • Inverse Problems
  • Materials
  • Physics
  • Probability Distributions
  • Signal Processing
  • Students
  • Subatomic Particles
  • Ultrasounds
  • Waves

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