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For difference representations of partial differential operators,
mesh refinement is straightforward
because expressions for the differencing star include
and which can simply be halved.
The star for is unchanged if and are simultaneously halved.
If a dipping wavefield u(x-p1t) is input to this operator
the output vanishes if p=p1,
so this operator deserves the name ``dip filter''
or ``dip rejection filter''
or ``plane-wave destruction filter''.
As deconvolution offers well-known opportunities
with narrow-banded frequency spectra,
the possibility of destroying a perfect plane wave
with only two seismograms offers similar opportunities.
Next: Spatial interpolation with
Up: Nonlinear problems
Previous: DIP FILTER DEFINITION
Stanford Exploration Project
1/13/1998