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For the one-way wave equation
we can write its (2*n*+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 5^{o} one-way equation
| |
(3) |

When *n*=1, we obtain the 15^{o} one-way equation in Claerbout (1999)
| |
(4) |

| (5) |

When *n*=2, we obtain the 45^{o} one-way wave equation in Claerbout (1999)
| |
(6) |

| (7) |

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Stanford Exploration Project

6/8/2002