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- Oleg A. Godin
- Physical review letters
- 2006

We study long-range correlation of diffuse acoustic noise fields in an arbitrary inhomogeneous, moving fluid. The flow reversal theorem is used to show that the cross-correlation function of ambient noise provides an estimate of a combination of the Green's functions corresponding to sound propagation in opposite directions between the two receivers.… (More)

- Oleg A. Godin
- The Journal of the Acoustical Society of America
- 2007

The fluctuation-dissipation theorem is used to show how acoustic Green's functions corresponding to sound propagation in opposite directions between any two given points can be extracted from time series of thermal noise recorded at these points. The result applies to arbitrarily inhomogeneous, moving or motionless fluids with time-independent parameters,… (More)

- David M F Chapman, Oleg A. Godin
- The Journal of the Acoustical Society of America
- 2001

The propagation of seismic interface waves is investigated in soft marine sediments in which the density is constant, the shear modulus is small, and the profile of shear speed c(s) versus depth z is of the power-law form c(s) (z) = c0z(v), in which c0 and v are constants (0< v < 1). Both the phase speed V and the group speed U of interface waves scale with… (More)

- Oleg A. Godin
- The Journal of the Acoustical Society of America
- 2009

Fluctuation-dissipation and flow reversal theorems are used to study long-range correlation of thermal phonons in a stationary heterogeneous mechanical system comprised of arbitrary inhomogeneous fluid flow and anisotropic solid. At thermal equilibrium, with an appropriate choice of physical observables to characterize thermal fluctuations within the fluid… (More)

- Oleg A. Godin
- The Journal of the Acoustical Society of America
- 2010

Long-range correlations of noise fields in arbitrary inhomogeneous, moving or motionless fluids are studied in the ray approximation. Using the stationary phase method, two-point cross-correlation function of noise is shown to approximate the sum of the deterministic Green's functions describing sound propagation in opposite directions between the two… (More)

- Oleg A. Godin
- The Journal of the Acoustical Society of America
- 2009

Measurements of long-range cross-correlations of ambient noise underlie acoustic noise interferometry, a promising technique for passive remote sensing of the environment. Previously established simple, exact relations between deterministic Green's functions and the cross-correlation function of perfectly diffuse noise do not necessarily hold for noise… (More)

- Oleg A. Godin
- Physical review. E, Statistical, nonlinear, and…
- 2009

Two-point correlation functions of sufficiently diffuse wave fields generated by uncorrelated random sources are known to approximate deterministic Green's functions between the two points. This property is utilized increasingly for passive imaging and remote sensing of the environment. Here we show that the relation between the Green's functions and the… (More)

- Oleg A. Godin, David M F Chapman
- The Journal of the Acoustical Society of America
- 2001

In the upper tens of meters of ocean bottom, unconsolidated marine sediments consisting of clay, silt, or fine sand with high porosity are "almost incompressible" in the sense that the shear wave velocity is much smaller than the compressional wave velocity. The shear velocity has very large gradients close to the ocean floor leading to strong coupling of… (More)

- Oleg A. Godin
- Physical review letters
- 2006

Sound transmission through a water-air interface is normally weak because of a strong mass density contrast. We show that the transparency of the interface increases dramatically at low frequencies. Almost all acoustic energy emitted by a sufficiently shallow monopole source under water is predicted to be radiated into air. Increased transparency at lower… (More)

- Oleg A. Godin
- The Journal of the Acoustical Society of America
- 2006

Recently, J. D. Achenbach [J. Acoust. Soc. Am. 116, 1481-1487 (2004)] put forward, on heuristic grounds, an elegant technique to calculate amplitudes of guided waves in an elastic solid. The technique is based on application of the reciprocity principle. In this article, the technique is applied to acoustic waveguides. A mathematical justification of the… (More)