Dispersion Relationship

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The Experts below are selected from a list of 285 Experts worldwide ranked by ideXlab platform

Mark L. Brongersma - One of the best experts on this subject based on the ideXlab platform.

Caroline Derec - One of the best experts on this subject based on the ideXlab platform.

  • Soap film vibration: origin of the dissipation.
    Soft Matter, 2014
    Co-Authors: Sébastien Kosgodagan Acharige, Florence Elias, Caroline Derec
    Abstract:

    We investigate the complex Dispersion Relationship of a transverse antisymmetric wave on a horizontal soap film. Experimentally, the complex wave number k at a fixed forcing frequency is determined by measuring the vibrating amplitude of the soap film: the wavelength (linked to the real part of k) is determined by the spatial variation of the amplitude; the decay length (linked to the imaginary part of k) is determined by analyzing the resonance curves of the vibrating wave as a function of frequency. Theoretically, we compute the complex Dispersion Relationship taking into account the physical properties of the bulk liquid and gas phase, and of the gas–liquid interfaces. The comparison between the computation (developed to the leading order under our experimental conditions) and the experimental results confirms that the phase velocity is fixed by the interplay between surface tension, and liquid and air inertia, as reported in previous studies. Moreover, we show that the attenuation of the transverse antisymmetric wave originates from the viscous dissipation in the gas phase surrounding the liquid film. This result is an important step in understanding the propagation of an acoustic wave in liquid foam, using a bottom-up approach.

Arun Majumdar - One of the best experts on this subject based on the ideXlab platform.

  • diffuse mismatch model of thermal boundary conductance using exact phonon Dispersion
    Applied Physics Letters, 2005
    Co-Authors: Pramod Reddy, Kenneth Castelino, Arun Majumdar
    Abstract:

    The acoustic mismatch model (AMM) and the diffuse mismatch model (DMM) have been traditionally used to calculate the thermal boundary conductance of interfaces. In these calculations, the phonon Dispersion Relationship is usually approximated by a linear Relationship (Debye approximation). This is accurate for wave vectors close to the zone center, but deviates significantly for wave vectors near the zone edges. Here, we present DMM calculations of the thermal conductance of Al–Si, Al–Ge, Cu–Si, and Cu–Ge interfaces by taking into account the full phonon Dispersion Relationship over the entire Brillouin zone obtained using the Born-von Karman model (BKM). The thermal boundary conductance thus calculated deviates significantly from DMM predictions obtained using the Debye model in all cases.

Kevin F. Brennan - One of the best experts on this subject based on the ideXlab platform.

Joshua Bostwick - One of the best experts on this subject based on the ideXlab platform.

  • Extracting the surface tension of soft gels from elastocapillary wave behavior
    Soft matter, 2018
    Co-Authors: Xingchen Shao, John R. Saylor, Joshua Bostwick
    Abstract:

    Mechanically-excited waves appear as surface patterns on soft agarose gels. We experimentally quantify the Dispersion Relationship for these waves over a range of shear modulus in the transition zone where the surface energy (capillarity) is comparable to the elastic energy of the solid. Rayleigh waves and capillary-gravity waves are recovered as limiting cases. Gravitational forces appear as a pre-stress through the self-weight of the gel and are important. We show the experimental data fits well to a proposed Dispersion Relationship which differs from that typically used in studies of capillary to elastic wave crossover. We use this combined theoretical and experimental analysis to develop a new technique for measuring the surface tension of soft materials, which has been historically difficult to measure directly.