Globally Convergent Inverse Algorithms via Carleman Weight Functions: Theory, Numerical Studies and Experimental Verifications

Abstract

This project has three major goals: Goal 1. The analytical development and numerical implementation of the so-called "tail functions" method globally convergent numerical method in the frequency domain for Coefficient Inverse Scattering Problems (CISPs). Goal 2. The analytical development and numerical implementation of the globally convergent numerical method for CISPs, which is based on the construction of weighted globally strictly convex Tikhonov-like functionals. The key element of such a functional is the presence of the Carleman Weight Function in it. Goal 3. Analytical and numerical studies of Phaseless Coefficient Inverse Scattering Problems (CISPs). The main application of Goals 1 and 2 is in STANDOFF imaging and identification of antipersonnel mine-like targets and improvised explosive devices (IEDs). This application is addressed via our work with a variety of microwave experimental data. The main application of Goal 3 is in imaging of nanostructures and biological cells.

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Document Details

Document Type
Technical Report
Publication Date
Jun 13, 2018
Accession Number
AD1063123

Entities

People

  • Michael Klibanov

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Algorithms
  • Applied Mathematics
  • Backscattering
  • Boundary Value Problems
  • Cauchy Problem
  • Collision Avoidance
  • Detection
  • Detectors
  • Dielectric Permittivity
  • Differential Equations
  • Digital Data
  • Electrical Impedance
  • Equations
  • Experimental Data
  • False Alarms
  • Frequency
  • Geometry
  • Helmholtz Equations
  • Improvised Explosive Devices
  • Inverse Problems
  • Inverse Scattering
  • Mathematics
  • Military Research
  • Scattering
  • Three Dimensional
  • Two Dimensional
  • Warning Systems

Readers

  • Computational Modeling and Simulation
  • Operations Research
  • Sensor Fusion and Tracking Systems.

Technology Areas

  • Microelectronics