Localization of Acoustic Waves

Condat, C. A.; Kirkpatrick, T. R.

doi:10.1142/9789814340687_0009

Cited by 6 publications

(2 citation statements)

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“…Random underwater topography can give rise to water wave localization 11 . Localization effects have also been reported for microwaves 12,13 , for light 14 , and for acoustic waves 15,16,17,18 in disordered media. Here we report acoustic localization in the strongly scattering 2D random arrays of air-cylinders in water, with comparison to the complete acoustic band gap of the corresponding regular arrays.…”

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confidence: 81%

Band gaps and localization in acoustic propagation in water with air cylinders

Hoskinson

2000

Applied Physics Letters

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Multiple scattering of waves leads to many peculiar phenomena such as complete band gaps in periodic structures and wave localization in disordered media. Within a band gap excitations are evanescent; when localized they remain confined in space until dissipated. Here we report acoustic band gap and localization in a 2D system of air-cylinders in water. Exact numerical calculations reveal the unexpected result that localization is relatively independent of the precise location or organization of the scatterers. Localization occurs within a finite region of frequencies, coincident with the complete band gap predicted by a conventional band structure calculation for a periodic lattice of scatterers. Inside the gap or localization regime, a previously uninvestigated stable collective behavior of the cylinders appears. Multiple scattering of waves is responsible for a wide range of fascinating phenomena 1,2 . This includes twinkling light in the evening sky, modulation of ambient sound at the ocean surfaces 3 , and acoustic scintillation of turbulence 4 . On smaller scales, phenomena such as random lasers 5 and electron transport in impure solids 6 are also explained by multiple scattering. Under appropriate conditions, multiple scattering leads to photonic or acoustic band gaps in classical wave propagation in periodic structures 7,8 , and to the unusual phenomenon of wave localization, a concept introduced by

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confidence: 81%

Band gaps and localization in acoustic propagation in water with air cylinders

Hoskinson

2000

Applied Physics Letters

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“…Given the complexity of off-shell T-matrices as compared to their on-shell counterparts, we restrict ourselves to the simplest three-dimensional case of a single sphere. Analytical results for off-shell transition operators in classical physics are the scalar T -matrix for acoustic scattering [6,23,24] and the tensor electromagnetic T -matrix for a purely dielectric sphere [5]. To our knowledge however, an explicit expression similar to that in Ref.…”

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confidence: 95%

The off-shell electromagneticT-matrix: momentum-dependent scattering from spherical inclusions with both dielectric and magnetic contrasts

Pellegrini

Thibaudeau

Stout

2011

Waves in Random and Complex Media

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The momentum-and frequency-dependent T-matrix operator for the scattering of electromagnetic waves by a dielectric/conducting and para-or diamagnetic sphere is derived as a Mie-type series, and presented in a compact form emphasizing various symmetry properties, notably the unitarity identity. This result extends to magnetic properties one previously obtained for purely dielectric contrasts by other authors. Several situations useful to spatially-dispersive effective-medium approximations to one-body order are examined. Partial summation of the Mie series is achieved in the case of elastic scattering.

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Propagation and Scattering of Acoustic Waves in a Turbulent Medium

Soczkiewicz

Chivers²

2001

Journal of Sound and Vibration

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Localization of Acoustic Waves

Cited by 6 publications

References 62 publications

Band gaps and localization in acoustic propagation in water with air cylinders

Band gaps and localization in acoustic propagation in water with air cylinders

The off-shell electromagneticT-matrix: momentum-dependent scattering from spherical inclusions with both dielectric and magnetic contrasts

Propagation and Scattering of Acoustic Waves in a Turbulent Medium

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