Details

Autor(en) / Beteiligte

• Artoun, Ojenie
• David-Rus, Diana
• Emmett, Matthew
• Fishman, Lou
• Fital, Sandra
• Hogan, Chad
• Lim, Jisun
• Lushi, Enkeleida
• Marinov, Vesselin

Titel

Seismic Imaging, One-Way Wave Equations, Pseudodifferential Operators, Path Integrals, and all that Jazz

Ist Teil von

• Mathematical Modelling of Wave Phenomena, 2006, Vol.834, p.286-295

Erscheinungsjahr

2006

Beschreibungen/Notizen

• In this report we summarize an extension of Fourier analysis for the solution of the wave equation with a non-constant coefficient corresponding to an inhomogeneous medium. The underlying physics of the problem is exploited to link pseudodifferential operators and phase space path integrals to obtain a marching algorithm that incorporates the backward scattering into the evolution of the wave. This allows us to successfully apply single-sweep, one-way marching methods in inherently two-way environments, which was not achieved before through other methods for this problem.