Noise interferometry in an inhomogeneous environment in the geometric limit

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4 Citations (Scopus)

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 languageEnglish (US)
JournalJournal of the Acoustical Society of America
Volume130
Issue number4
DOIs
StatePublished - Oct 2011

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interferometry
step functions
travel
rays
Green's functions
approximation
Superposition
Singularity
Derivatives
Time Travel
Approximation

ASJC Scopus subject areas

  • Acoustics and Ultrasonics
  • Arts and Humanities (miscellaneous)

Cite this

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