Nonlinear Two-Dimensional Velocity Profile Inversion Using Time Domain Data

Mahta Moghaddam, Weng Cho Chew

Research output: Contribution to journalLetterpeer-review


An iterative algorithm is developed to solve the nonlinear inverse scattering problem for two-dimensional lossless dielectric inhomogeneities using time-domain scattering data. The method is based on performing Born-type iterations on a volume integral equation, and hence, successively calculating higher-order approximations to the unknown object profile. Both the full-angle and the limited-angle problems are considered. Solutions are obtained for cases where the first-order Born approximation is severely violated. Wideband time-domain scattered field measurements make it possible to use sparse data sets, and thus to reduce experimental complexity and computation time. Several examples are given to show the ability of this method to invert arbitrarily shaped permittivity profiles using few transmitters and receivers. The high-resolution capability of the algorithm is also demonstrated.

Original languageEnglish (US)
Pages (from-to)147-156
Number of pages10
JournalIEEE Transactions on Geoscience and Remote Sensing
Issue number1
StatePublished - Jan 1992
Externally publishedYes

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Earth and Planetary Sciences(all)


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