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Uniqueness in determining refractive indices by formally determined far-field data.
- Source :
-
Applicable Analysis . Jun2015, Vol. 94 Issue 6, p1259-1269. 11p. - Publication Year :
- 2015
-
Abstract
- We present two uniqueness results for the inverse problem of determining an index of refraction by the corresponding acoustic far-field measurement encoded into the scattering amplitude. The first one is a local uniqueness in determining a variable index of refraction by the fixed incident-direction scattering amplitude. The inverse problem is formally posed with such measurement data. The second one is a global uniqueness in determining a constant refractive index by a single far-field measurement. The arguments are based on the study of certain non-self-adjoint interior transmission eigenvalue problems. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 00036811
- Volume :
- 94
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Applicable Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 101714278
- Full Text :
- https://doi.org/10.1080/00036811.2014.924215