Forward Scattering and Volterra Renormalization for Acoustic Wavefield Propagation in Vertically Varying Media. (21st July 2016)

• Record Type: Journal Article
• Authors: Yao, Jie; Lesage, Anne-Cécile; Hussain, Fazle; Kouri, Donald J.
• Is Part Of: Communications in computational physics. Volume 20:Number 2(2016:Aug.)
• Page Start: 353
• Page End: 373
• Publication Date: 2016-07-21
• Subjects: 35R30, -- 45D05, -- 45G10, -- 45Q05, -- 65R20, -- 81Q15, -- 81U40, -- 86A15; Acoustic modeling, -- scattering theory, -- Volterra renormalization, -- velocity and density variation; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.050515.210116a
• Languages: English
• ISSNs: 1815-2406

Abstract

Abstract: 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 noniteratively. 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.