Acoustic and electromagnetic quasimodes in dispersed random media

Jing, Xiping; Sheng, Ping; Zhou, Mengyang

doi:10.1103/physreva.46.6513

Cited by 46 publications

(31 citation statements)

References 21 publications

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“…To confirm that the physical picture is indeed correct, we will adopt the "unit cell" point of view and follow the method initiated by Jing et al (1991Jing et al ( , 1992 known as the generalized coherent potential approximation (GCPA). This approach is expected to be more accurate than the Bourret approximation as it is based on exact solutions of the scattering problem.…”

Section: The Spectral Function Approachmentioning

confidence: 98%

Velocity and attenuation of scalar and elastic waves in random media: A spectral function approach

Calvet

Margerin

2012

The Journal of the Acoustical Society of America

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This paper investigates the scattering of scalar and elastic waves in two-phase materials and single-mineral-cubic, hexagonal, orthorhombic-polycrystalline aggregates with randomly oriented grains. Based on the Dyson equation for the mean field, explicit expressions for the imaginary part of Green's function in the frequency-wavenumber domain (ω, p), also known as the spectral function, are derived. This approach allows the identification of propagating modes with their relative contribution, and the computation of both attenuation and phase velocity for each mode. The results should be valid from the Rayleigh (low-frequency) to the geometrical optics (high-frequency) regime. Comparisons with other approaches are presented for both scalar and elastic waves.

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Section: The Spectral Function Approachmentioning

confidence: 98%

Velocity and attenuation of scalar and elastic waves in random media: A spectral function approach

Calvet

Margerin

2012

The Journal of the Acoustical Society of America

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“…The origin of these very slow velocities can be understood using a model based on the generalized coherent potential approximation (GCPA) [5,6], which overcomes a fundamental limitation of the traditional CPA approach to wave propagation in the intermediate frequency regime. To calculate the scattering quantitatively, we model a typical scatterer as an elastic sphere (glass) that is coated with a layer of water and embedded in a homogeneous effective medium whose properties account for the presence of the other scatterers in the system.…”

Section: Ballistic Propagationmentioning

confidence: 99%

Classical wave propagation in strongly scattering media

Page

Schriemer

Jones

et al. 1997

Physica A: Statistical Mechanics and its Applications

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The transport of classical waves in strongly scattering media is investigated using ultrasonic techniques, allowing us to measure both the ballistic and scattered components of the wave field. We find that the ballistic propagation is dramatically slowed down by scattering resonances, although the group velocity remains well-defined. The propagation of the scattered waves is also strongly affected by resonant scattering, and is shown to be well described by using the diffusion approximation. A model based on the generalized coherent potential approximation gives a quantitative explanation of the experimental data.

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“…The resonances of a single cavity split up when the number of cavities increases but there is no more correspondence of the number of resonances with the number of scatterers. It seems however that a few resonances obey the same splitting law than the one emphasized by Lethuillier et al [17] and Jing et al [19]. The strong reemission of the cavities in the elastic medium gives rise to unknown resonant coupling mechanisms that are more complicated than in the fluid matrix case.…”

Section: Resultsmentioning

confidence: 87%

“…(17) with Eq. (19) has been numerically checked for many configurations including various numbers of scatterers.…”

Section: The Scattering S-matrixmentioning

confidence: 99%

“…Such a splitting does not occur for the other waves circumnavigating the shell, as their energy is mostly concentrated in the shell thickness. When developing the Generalized Coherent Potential Approximation for the identification of quasimodes in dispersed random media, Jing et al [19] have shown that a low-frequency mode arises from such a coupling between two close shells. As a consequence, the study of the resonances of a finite number of scatterers may reveal important when investigating the effects of multiple scattering in random media.…”

Section: Introductionmentioning

confidence: 99%

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