- Abstract:
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We consider the solution of a scalar Helmholtz equation where the potential (or index) takes two positive values, one inside a ball of radius $\eps$ and another one outside. In this short paper, we report that the results recently obtained in the two dimensional case in [1] can be easily extended to three dimensions. In particular, we provide sharp estimates of the size of the scattered field caused by this ball inhomogeneity, for any frequencies and any contrast. We also provide a broadband ...
Expand abstract - Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Accepted Manuscript
- Files:
-
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(pdf, 346.7kb)
-
- Publisher copy:
- 10.1090/conm/577/11463
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- Publisher:
- American Mathematical Society Publisher's website
- Journal:
- Contemporary Mathematics Journal website
- Volume:
- 577
- Pages:
- 61-80
- Publication date:
- 2012-01-05
- DOI:
- ISSN:
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0271-4132
- URN:
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uuid:040c2388-99ff-4604-ba1d-03eb26e5f436
- Source identifiers:
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237899
- Local pid:
- pubs:237899
- Copyright holder:
- American Mathematical Society
- Copyright date:
- 2012
- Notes:
- First published in Contemporary Mathematics in Volume 577, 2012, published by the American Mathematical Society. Copyright 2012 American Mathematical Society.
Journal article
On the scattered field generated by a ball inhomogeneity of constant index in dimension three
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Oxford Centre for Nonlinear Partial Differential Equations
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