Noise interferometry in an inhomogeneous environment in the geometric limit | Zendy

Michael G. Brown | Zendy

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Noise interferometry in an inhomogeneous environment in the geometric limit

Author(s) -

Michael G. Brown

Publication year - 2011

Publication title -

the journal of the acoustical society of america

Language(s) - English

Resource type - Journals

eISSN - 1520-8524

pISSN - 0001-4966

DOI - 10.1121/1.3610260

Subject(s) - superposition principle , gravitational singularity , limit (mathematics) , noise (video) , logarithm , physics , function (biology) , mathematical analysis , interferometry , transient (computer programming) , phase (matter) , mathematical physics , mathematics , optics , quantum mechanics , image (mathematics) , artificial intelligence , evolutionary biology , computer science , biology , operating system

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).

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