@Article{CiCP-20-353,
author = {Yao , JieLesage , Anne-CécileHussain , Fazle and J. Kouri , Donald},
title = {Forward Scattering and Volterra Renormalization for Acoustic Wavefield Propagation in Vertically Varying Media},
journal = {Communications in Computational Physics},
year = {2018},
volume = {20},
number = {2},
pages = {353--373},
abstract = {<p style="text-align: justify;">We extend the full wavefield modeling with forward scattering theory and
Volterra Renormalization to a vertically varying two-parameter (velocity and density)
acoustic medium. The forward scattering series, derived by applying Born-Neumann
iterative procedure to the Lippmann-Schwinger equation (LSE), is a well known tool
for modeling and imaging. However, it has limited convergence properties depending
on the strength of contrast between the actual and reference medium or the angle
of incidence of a plane wave component. Here, we introduce the Volterra renormalization
technique to the LSE. The renormalized LSE and related Neumann series are
absolutely convergent for any strength of perturbation and any incidence angle. The
renormalized LSE can further be separated into two sub-Volterra type integral equations,
which are then solved non-iteratively. We apply the approach to velocity-only,
density-only, and both velocity and density perturbations. We demonstrate that this
Volterra Renormalization modeling is a promising and efficient method. In addition,
it can also provide insight for developing a scattering theory-based direct inversion
method.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.050515.210116a},
url = {http://global-sci.org/intro/article_detail/cicp/11156.html}
}