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For the one-way wave equation
we can write its (2n+1)th order approximation Zhang (1985) in time domain
| |
(1) |
| (2) |
where q is the auxiliary wavefield, c is the velocity, and
When n=0, we obtain the 5o one-way equation
| |
(3) |
When n=1, we obtain the 15o one-way equation in Claerbout (1999)
| |
(4) |
| (5) |
When n=2, we obtain the 45o one-way wave equation in Claerbout (1999)
| |
(6) |
| (7) |
Next: Absorbing boundary condition for
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Stanford Exploration Project
6/8/2002