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Simultaneous inversion of compressibility and density in the acoustic inverse problem
| Content Provider | Scilit |
|---|---|
| Author | Moghaddam, Mahta Chew, W. C. |
| Copyright Year | 1993 |
| Description | Journal: Inverse Problems The nonlinear acoustic inverse scattering problem with both variable compressibility and variable density is formulated and solved via the Born iterative method. This is equivalent to the simultaneous electromagnetic inversion of permittivity and permeability in the $E_{z}$- or $H_{z}$-polarized problem. The solution to the $E_{z}$-polarized case for variable permittivity has been studied in detail previously. The results presented here for the $H_{z}$-polarized case and those for the simultaneous inversion (or acoustic) problem are new. Two volume integrals are used to represent the scattered field. The unknowns are found by performing Born-type iterations on the resulting integral equation. At each iteration, the unknowns are found through a double-criterion optimization. Several results are presented for both the $H_{z}$-polarized and the simultaneous (acoustic) inverse problems. In this case, even though the resolution is subwavelength, it is found that compared to the $E_{z}$-polarized case, the resolution is lower. |
| Related Links | http://iopscience.iop.org/article/10.1088/0266-5611/9/6/008/pdf |
| Ending Page | 730 |
| Page Count | 16 |
| Starting Page | 715 |
| ISSN | 02665611 |
| e-ISSN | 13616420 |
| DOI | 10.1088/0266-5611/9/6/008 |
| Journal | Inverse Problems |
| Issue Number | 6 |
| Volume Number | 9 |
| Language | English |
| Publisher | IOP Publishing |
| Publisher Date | 1993-12-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Inverse Problems Acoustics and Ultrasonics Iteration Method Inverse Scattering Problem Integral Equation Inverse Problem |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Theoretical Computer Science Signal Processing Mathematical Physics Computer Science Applications |
