### Abstract

An approximation to the transient Green's function G (x a x b, t) between points x _{a} and x _{b} can be estimated by taking the time derivative of the correlation function C _{ab}(t) of records of ambient noise measured at locations x _{a} and x _{b}. From the general relationship between C _{ab}(t) and G (x a x b, t) it is shown, using a stationary-phase-like argument, that in an inhomogeneous environment in the geometric limit C _{ab}(t) consists of a superposition of signed step functions and two-sided logarithmic singularities that are delayed in time by the travel times of the rays connecting x _{a} and x _{b}.

Original language | English (US) |
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Pages (from-to) | EL173-EL179 |

Journal | Journal of the Acoustical Society of America |

Volume | 130 |

Issue number | 4 |

DOIs | |

State | Published - Oct 1 2011 |

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### ASJC Scopus subject areas

- Arts and Humanities (miscellaneous)
- Acoustics and Ultrasonics