Symplectic structure of wave-equation imaging: a path-integral approach based on the double-square-root equation

Details Symplectic structure of wave-equation imaging: a path-integral approach based on the double-square-root equation Symplectic structure of wave-equation imaging: a path-integral approach based on the double-square-root equation

Apr 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003geoji.153...52d&link_type=abstract

Geophysical Journal International, Volume 153, Issue 1, pp. 52-74.

Astronomy and Astrophysics

Astronomy

12

Isochrones, Migration Dip, Scattering-Angle/Azimuth, Wave-Equation Imaging

Scientific paper

We carry out high-frequency analyses of Claerbout's double-square-root equation and its (numerical) solution procedures in heterogeneous media. We show that the double-square-root equation generates the adjoint of the single-scattering modelling operator upon substituting the leading term of the generalized Bremmer series for the background Green function. This adjoint operator yields the process of `wave-equation' imaging. We finally decompose the wave-equation imaging process into common image point gathers in accordance with the characteristic strips in the wavefront set of the data.

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