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Seismic data are commonly modeled by a high-frequency single scattering approximation. This amounts to a linearization in the medium coefficient about a smooth background. The discontinuities are contained in the medium perturbation. The high-frequency part of the wavefield in the background medium is described by a geometrical optics representation. It can… (More)

- Christiaan C Stolk, Maarten V De Hoop
- 2006

Seismic data are commonly modeled by a linearization around a smooth background medium in combination with a high frequency approximation. The perturbation of the medium coefficient is assumed to contain the discontinuities. This leads to two inverse problems, first the linearized inverse problem for the perturbation, and second the estimation of the… (More)

- Christiaan C Stolk, Maarten V De Hoop, William W Symes
- 2009

In contrast to prestack migration methods based on data binning, common image gathers produced by shot-geophone migration exhibit the appropriate semblance property in either offset domain (focussing at zero offset) or angle domain (focussing at zero slope), when the migration velocity is kinematically correct and when events to be migrated arrive in the… (More)

- Christiaan C Stolk, Maarten V De Hoop, Tim J P M Op, T Root, Doi
- 2011

In this paper, we revisit the reverse-time imaging procedure. We discuss an inverse scattering transform derived from reverse-time migration (RTM), and establish its relation with generalized Radon transform inversion. In the process, the explicit evaluation of the so-called normal operator is avoided, at the cost of introducing other pseudodifferential… (More)

- Christiaan C Stolk, Maarten, V De Hoop
- 2001

In this paper we use methods from partial differential equations, in particular microlo-cal analysis and theory of Fourier integral operators, to study seismic imaging in the wave-equation approach. Seismic data are commonly modeled by a high-frequency single scattering approximation. This amounts to a linearization in the medium coefficient about a smooth… (More)

- Tim J P M Op 't Root, Christiaan C Stolk, Maarten V De Hoop
- 2012

In this paper we study the linearized inverse problem associated with imaging of reflection seismic data. We introduce an inverse scattering transform derived from reverse time migration (RTM). In the process, the explicit evaluation of the so-called normal operator is avoided, while other differential and pseudodifferential operator factors are introduced.… (More)

- Bob van den Bergen, Christiaan C Stolk, Jan Bouwe van den Berg, Jan J W Lagendijk, Cornelis A T Van den Berg
- Physics in medicine and biology
- 2009

A new, very fast, approach for calculations of the electromagnetic excitation field for MRI is presented. The calculation domain is divided in different homogeneous regions, where for each region a general solution is obtained by a summation of suitable basis functions. A unique solution for the electromagnetic field is found by enforcing the appropriate… (More)