# On the scattered field generated by a ball inhomogeneity of constant index

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Reference: Capdeboscq, Y, (2012). On the scattered field generated by a ball inhomogeneity of constant index. Asymptotic Analysis, 77 (3-4), 197-246.Citable link to this page:

On the scattered field generated by a ball inhomogeneity of constant index

Abstract: We consider the solution of a scalar Helmholtz equation where the potential (or index) takes two positive values, one inside a disk of radius $\epsilon$ and another one outside. We derive sharp estimates of the size of the scattered field caused by this disk inhomogeneity, for any frequencies and any contrast. We also provide a broadband estimate, that is, a uniform bound for the scattered field for any contrast, and any frequencies outside of a set which tend to zero with $\epsilon$.

Peer Review status:Peer reviewedPublication status:PublishedVersion:Accepted manuscript Funder: Engineering and Physical Sciences Research Council   Funder: National Science Foundation   Notes:Copyright IOS Press and the Authors. All rights reserved.

Bibliographic Details

Publisher: Society for Industrial and Applied Mathematics

Publisher Website: http://www.iospress.nl/

Journal: Asymptotic Analysissee more from them

Publication Website: http://content.iospress.com/journals/asymptotic-analysis

Issue Date: 2012

pages:197-246Identifiers

Urn: uuid:fb829ffe-0df5-402c-ae4e-a66eb116153c

Source identifier: 167683

Doi: https://doi.org/10.3233/ASY-2011-1080

Issn: 0921-7134 Item Description

Type: Journal article;

Language: eng

Version: Accepted manuscriptKeywords: math.CA math.CA math.AP 35J05, 33C10, 35B34 Tiny URL: pubs:167683

Relationships

Author: Capdeboscq, Y - institutionUniversity of Oxford Oxford, MPLS, Mathematical Inst - - - - Bibliographic Details Publisher: Society

Source: https://ora.ox.ac.uk/objects/uuid:fb829ffe-0df5-402c-ae4e-a66eb116153c

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