A frequency bandgap is a range of wave frequencies that are prohibited from passing through a medium. The dispersion relation, which links the frequency to the wave number, enables us to illustrate the bandgaps. In [E. H. Lee, “A survey of variational methods for elastic wave propagation analysis in composites with periodic structures,” in Dynamics of Composite Materials, E. H. Lee, ed., ASME, ...

The dispersion relation is fundamental to a physical phenomenon that develops in both space and time. This equation connects the spatial and temporal frequencies involved in the dynamic process through the material constants. Electromagnetic plane waves propagating in homogeneous media are bound by simple dispersion relation, which sets the magnitude of the spatial frequency, k, as being propor...

We used quantitative phase imaging to measure the dispersion relation, i.e. decay rate vs. spatial mode, associated with mass transport in live cells. This approach applies equally well to both discrete and continuous mass distributions without the need for particle tracking. From the quadratic experimental curve specific to diffusion, we extracted the diffusion coefficient as the only fitting ...

This paper shows a positive relation between analyst forecast dispersion and future aggregate stock returns, significant and robust. The innovations in forecast dispersions are negatively associated with contemporaneous aggregate returns and changes in discount rates. Decomposing forecast dispersion into “uncertainty” and “information asymmetry” components, I find that the “uncertainty” compone...

A linear dispersive mechanism leading to a burst in the L∞ norm of the error in numerical simulation of polychromatic solutions is identified. This local error pile-up corresponds to the existence of spurious caustics, which are allowed by the dispersive nature of the numerical error. From the mathematical point of view, spurious caustics are related to extrema of the numerical group velocity a...

We derive an exact dispersion relation for the surface plasmon polaritons of a nonlinear plasmonic waveguide using exact field decomposition of TM waves. Our approach generalizes the known linear dispersion relations to the case of a medium nonlinearity of the form εNL = εL + α|E|2n. We apply the unique dispersion relation to a plasmonic waveguide with a Kerr-type nonlinearity (n = 1) and show ...

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We study the Standard Model prediction for the mass difference between the two neutral D meson mass eigenstates, ∆m. We derive a dispersion relation based on heavy quark effective theory that relates ∆m to an integral of the width difference of heavy mesons, ∆Γ, over varying values of the heavy meson mass. Modeling the mD-dependence of certain D decay partial widths, we investigate the effects ...

The solar f-mode is a surface gravity wave which high horizontal wavenumber k and the frequency ω satisfy the dispersion relation ω2 = gk, where g is the surface gravity of the Sun. However, the observations of this mode revealed deviations from this simple dispersion relation. According to these observations for high values of k the f-mode frequency is significantly lower than the frequency gi...

In this paper, we calculate the spectrum of scalar field fluctuations in a bouncing, asymptotically flat universe, and investigate the dependence of the result on changes in the physics on length scales shorter than the Planck length which are introduced via modifications of the dispersion relation. In this model, there are no ambiguities concerning the choice of the initial vacuum state. We st...