Asymptotically precise norm estimates of scattering from a small circular inhomogeneity |
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| Authors: | Derek J. Hansen Clair Poignard |
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| Affiliation: | 1. Department of Mathematics , Rutgers University , New Brunswick, NJ 08903, USA;2. Institut Camille Jordan, UMR CNRS 5208 , Université Claude Bernard Lyon 1, 69622 Villeurbanne cedex, France |
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| Abstract: | We establish L 2-based estimates of the scattering produced by a small circular inhomogeneity. These estimates apply to any frequency, and most importantly they exhibit a behaviour that is consistent with numerically observed solutions, uniformly in frequency and size of the inhomogeneity. |
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| Keywords: | Helmholtz scattering Small inhomogeneity |
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