We derive a representation theorem for modeling directional wavefields using reciprocity theorem of the convolution-type. A Neumann series expansion of the representation yields a series that is similar to that of Bremmer. A generalized Neumann series is also derived similar to that used for solving the non-directional Lippmann-Schwinger representation. An example shows how the series can model each scattering order separately for inhomogeneous media. This could potentially be useful in imaging and inverse problems.
|Title of host publication||Augmented Full Wavefield Modeling - An Iterative Directional Modeling Scheme for Inhomogeneous Media|
|Number of pages||5|
|Publication status||Published - 15 Jun 2017|
|Event||79th annual EAGE conference - Paris, France|
Duration: 12 Jun 2017 → 15 Jun 2017
|Conference||79th annual EAGE conference|
|Period||12/06/17 → 15/06/17|