Uniqueness in determining refractive indices by formally determined far-field data
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 1259-1269 |
| Journal / Publication | Applicable Analysis |
| Volume | 94 |
| Issue number | 6 |
| Online published | 2 Jun 2014 |
| Publication status | Published - 3 Jun 2015 |
| Externally published | Yes |
Link(s)
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.
Research Area(s)
- inverse scattering, refractive index, uniqueness, formally-determined, interior transmission eigenvalues
Citation Format(s)
Uniqueness in determining refractive indices by formally determined far-field data. / Hu, Guanghui; Li, Jingzhi; Liu, Hongyu.
In: Applicable Analysis, Vol. 94, No. 6, 03.06.2015, p. 1259-1269.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
