Geometric Methods for Anisotopic Inverse Boundary Value Problems

W. R. B. Lionheart ()
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W. R. B. Lionheart: UMIST, Department of Mathematics

A chapter in New Analytic and Geometric Methods in Inverse Problems, 2004, pp 337-351 from Springer

Abstract: Abstract Electromagnetic fields have a natural representation as differential forms. Typically the measurement of a field involves an integral over a submanifold of the domain. Differential forms arise as the natural objects to integrate over submanifolds of each dimension. We will see that the (possibly anisotropic) material response to a field can be naturally associated with a Hodge star operator.

Keywords: Riemannian Manifold; Differential Form; Tensor Field; Principal Symbol; Inverse Boundary (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-3-662-08966-8_12

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