A numerical tour of wave propagation |

Recall that the basic acoustic wave equation can be specified as

where . The Green's function is defined by

(92) |

Thus the integral representation of the solution can be given by

(93) |

where denotes the convolution operator.

A perturbation will produce a field defined by

Note that

(95) |

Eq. (94) subtracts Eq. (91), yielding

Using the Born approximation, Eq. (96) becomes

Again, based on integral representation, we obtain

A numerical tour of wave propagation |

2021-08-31