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A new method for solving the inverse scattering problem for acoustic waves in an inhomogeneous medium
| Content Provider | Scilit |
|---|---|
| Author | Colton, D. Monk, P. |
| Copyright Year | 1989 |
| Description | Journal: Inverse Problems A new method is presented for solving the inverse scattering problem of determining the speed of sound in an inhomogeneous medium from the far-field data. If F(x; k, alpha ) are the far-field data corresponding to an incident plane wave with wavenumber k moving in the direction alpha and $F_{lambda }$(x; k, alpha ) are the far-field data for a ball Omega$ _{0}$ containing the inhomogeneous region and satisfying an impedance boundary condition on delta Omega$ _{0}$, then this new method is based on determining a function g in $L^{2}$( delta Omega ), where delta Omega is the unit sphere. This approach eliminates the problem of transmission eigenvalues that was inherent in the authors' previous work on this problem. |
| Related Links | http://pdfs.semanticscholar.org/53e3/7d69782cfd3d74885bd6963f560989785074.pdf http://iopscience.iop.org/article/10.1088/0266-5611/5/6/009/pdf |
| Ending Page | 1026 |
| Page Count | 14 |
| Starting Page | 1013 |
| ISSN | 02665611 |
| e-ISSN | 13616420 |
| DOI | 10.1088/0266-5611/5/6/009 |
| Journal | Inverse Problems |
| Issue Number | 6 |
| Volume Number | 5 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1989-12-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Inverse Problems Acoustics and Ultrasonics Spherical Harmonic Inverse Scattering Problem |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Theoretical Computer Science Signal Processing Mathematical Physics Computer Science Applications |
