- journal_title：Geophysics
- Contributor：Xiaolei Song ; Sergey Fomel
- Publisher：Society of Exploration Geophysicists
- Date：2011-
- Format：text/html
- Language：en
- Identifier：10.1190/geo2010-0287.1
- journal_abbrev：Geophysics
- issn：0016-8033
- volume：76
- issue：5
- firstpage：T123
- section：Seismic Modeling and Wave Propagation
We introduce a novel technique for seismic wave extrapolation in time. The technique involves cascading a Fourier transform operator and a finite-difference operator to form a chain operator: Fourier finite differences (FFD). We derive the FFD operator from a pseudoanalytical solution of the acoustic wave equation. Two-dimensional synthetic examples demonstrate that the FFD operator can have high accuracy and stability in complex-velocity media. Applying the FFD method to the anisotropic case overcomes some disadvantages of other methods, such as the coupling of qP-waves and qSV-waves. The FFD method can be applied to enhance accuracy and stability of seismic imaging by reverse time migration.