The scattering support

  1. Steven Kusiak1,
  2. John Sylvester2

Article first published online: 16 APR 2003

DOI: 10.1002/cpa.3038

Issue

Communications on Pure and Applied Mathematics

Communications on Pure and Applied Mathematics

Volume 56, Issue 11, pages 1525–1548, November 2003

Additional Information

How to Cite

Kusiak, S. and Sylvester, J. (2003), The scattering support. Comm. Pure Appl. Math., 56: 1525–1548. doi: 10.1002/cpa.3038

Author Information

  1. 1

    University of Washington, Department of Applied Mathematics, Box 352420, Seattle, WA 98195-2420

  2. 2

    University of Washington, Department of Mathematics, Box 354350, Seattle, WA 98195-4350

Publication History

  1. Issue published online: 5 SEP 2003
  2. Article first published online: 16 APR 2003
  3. Manuscript Received: AUG 2002

Funded by

  • NSF VIGRE grant
  • NSF grant. Grant Number: DMS-0099838
  • ONR grant. Grant Number: N000140110682

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Abstract

We discuss inverse problems for the Helmholtz equation at fixed energy, specifically the inverse source problem and the inverse scattering problem from a medium or an obstacle. We introduce the convex scattering support of a far field, a set which will be a subset of the convex hull of the support of any source which can produce it. We give several theorems which explain how to compute the convex scattering support and how to relate it to the actual support of a source, medium, or obstacle. © 2003 Wiley Periodicals, Inc.

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