Math Technical Report Series
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Browsing Math Technical Report Series by Author "Coyle, J."
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Item Recent Developments in Inverse Acoustic Scattering Theory(Department of Mathematical Sciences, 2000) Colton, David; Coyle, J.; Monk, Peter B.We survey some of the highlights of inverse scattering theory as it has developed over the past fifteen years, with emphasis on uniqueness theorems and reconstruction algorithms for time harmonic acoustic waves. Included in our presentation are numerical experiments using real data and numerical examples of the use of inverse scattering methods to detect buried objects.Item Scattering of Time-Harmonic Electromagnetic Waves by Anisotropic Inhomongeneous Scatters or Impenetrable Obstacles(Department of Mathematical Sciences, 2000) Monk, Peter B.; Coyle, J.We investigate an overlapping solution technique to compute the scattering of time-harmonic electromagnetic waves in two dimensions. The technique can be used to compute waves scattered by penetrable anisotropic inhomogeneous scatterers or impenetrable obstacles. The major focus is on implementing the method using finite elements. We prove existence of a unique solution to the disctretized problem and derive an optimal convergence rate for the scheme, which is verified numerical by examples.