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A Qualitative Approach to Inverse Scattering Theory pp 85–109Cite as

Scattering by Orthotropic Media

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Part of the book series: Applied Mathematical Sciences ((AMS,volume 188))

Abstract

Until now the reader has been introduced only to the scattering of time-harmonic electromagnetic waves by an imperfect conductor. We will now consider the scattering of electromagnetic waves by a penetrable orthotropic inhomogeneity embedded in a homogeneous background. As in the previous chapter, we will confine ourselves to the scalar case that corresponds to the scattering of electromagnetic waves by an orthotropic infinite cylinder. The direct scattering problem is now modeled by a transmission problem for the Helmholtz equation outside the scatterer and an equation with nonconstant coefficients inside the scatterer. This chapter is devoted to the analysis of the solution to the direct problem.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Delaware, Newark, DE, USA

    Fioralba Cakoni & David Colton

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  1. Fioralba Cakoni
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  2. David Colton
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Cakoni, F., Colton, D. (2014). Scattering by Orthotropic Media. In: A Qualitative Approach to Inverse Scattering Theory. Applied Mathematical Sciences, vol 188. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-8827-9_5

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