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Complex eigenvalues and the inverse spectral problem for transmission eigenvalues
| Content Provider | Scilit |
|---|---|
| Author | Colton, David Leung, Yuk-J |
| Copyright Year | 2013 |
| Description | Journal: Inverse Problems We continue our investigation of complex eigenvalues of the interior transmission problem for spherically stratified media (Leung and Colton 2012 Inverse Problems 28 075005). In this paper we show that if complex transmission values exist for a spherically stratified medium with (normalized) support in {x: |x| ⩽ 1} then they must lie in a strip containing the real axis. We also give a new and shorter proof of the result of Aktosun et al (2011 Inverse Problems 27 115004), showing that a knowledge of all the transmission eigenvalues (real and complex) uniquely determine the index of refraction provided 0 < η(r) < 1 for 0 < r < 1 and η(0) is known. |
| Related Links | http://iopscience.iop.org/0266-5611/29/10/104008/pdf/0266-5611_29_10_104008.pdf |
| ISSN | 02665611 |
| e-ISSN | 13616420 |
| DOI | 10.1088/0266-5611/29/10/104008 |
| Journal | Inverse Problems |
| Issue Number | 10 |
| Volume Number | 29 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 2013-09-18 |
| Access Restriction | Open |
| Subject Keyword | Journal: Inverse Problems Mathematical Physics Transmission Eigenvalues |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Theoretical Computer Science Signal Processing Mathematical Physics Computer Science Applications |
