An FIO calculus for marine seismic imaging: folds and cross caps
| dc.creator | Felea, Raluca | |
| dc.creator | Greenleaf, Allan | |
| dc.date | 2006-05-31 | |
| dc.date | 2007-02-13 | |
| dc.date.accessioned | 2026-07-07T07:46:16Z | |
| dc.date.available | 2026-07-07T07:46:16Z | |
| dc.description | We consider a linearized inverse problem, arising in offshore seismic exploration, for an isotropic wave equation with sound speed assumed to be a small, singular perturbation of a smooth background. Under an assumption of at most fold caustics for the background, we identify the geometry of the canonical relation underlying the linearization, F, which is a Fourier integral operator, and establish a composition calculus sufficient to describe the normal operator F^*F. The resulting artifacts are 1/2 derivative smoother than in the case of a single-source seismic experiment. | |
| dc.description | Revised; 35 pages; to appear in Comm. in P.D.E | |
| dc.identifier | https://arxiv.org/abs/math/0605774 | |
| dc.identifier | http://arxiv.org/abs/math/0605774 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123773 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35S30, 58J40 ; 35R30 | |
| dc.title | An FIO calculus for marine seismic imaging: folds and cross caps | |
| dc.type | text |