1. Uniqueness in determining refractive indices by formally determined far-field data.
- Author
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Hu, Guanghui, Li, Jingzhi, and Liu, Hongyu
- Subjects
- *
REFRACTIVE index , *FRAUNHOFER region (Electromagnetism) , *DATA analysis , *EIGENVALUES , *PROBLEM solving , *MATHEMATICAL analysis - 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]
- Published
- 2015
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