Examples of 'dispersion relation' in a sentence
Meaning of "dispersion relation"
dispersion relation: In physics and mathematics, a dispersion relation is an equation that describes the mathematical relationship between the frequency or wavelength of a wave and its propagation speed or phase velocity. It is used to study how waves travel through different mediums and how their properties change based on frequency
How to use "dispersion relation" in a sentence
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dispersion relation
The dispersion relation is derived and discussed.
Directly from the dispersion relation.
The dispersion relation is then.
This is known as the dispersion relation.
This dispersion relation is nonlinear and is characteristic for every material.
This is a linear dispersion relation.
A dispersion relation relates the wavelength or wavenumber of a wave to its frequency.
It is called a dispersion relation.
The dispersion relation is found to agree with the classical theory.
An adapted variational formulation and the dispersion relation have been established.
The dispersion relation for deep water waves is often written as.
Simple analysis in accordance with the dispersion relation is not feasible.
Dispersion relation and density of states for surface lattice resonance excitations.
A theoretical model was constructed with a dispersion relation similar to that observed experimentally.
The dispersion relation for electrons in a solid is given by the electronic band structure.
See also
The scattering matrix and dispersion relation of the new node are provided.
The dispersion relation describes the relationship between wavelength and frequency in waves.
These violations are implemented by a modified dispersion relation that becomes nonlinear at short wavelengths.
The dispersion relation of the anomalous waves was studied as a function of the plasma parameters.
The parameter h describes the frequency dependence of the sound velocity of the membrane dispersion relation.
The continuum dispersion relation is shown as the red surface.
Thus, the expression gives rise to the dispersion relation.
A correlation function and the dispersion relation were analyzed as functions of the reynolds number.
He failed, however, to recognize the material dependence of the dispersion relation.
A third degree dispersion relation for drift dissipative instabilities in a weakly ionized plasma is derived.
In addition, the linear dispersion relation is.
The dispersion relation Eq.
Due to this relation, dispersion relation.
The dispersion relation is often expressed as a function, ωk.
For an ideal string, the dispersion relation can be written as.
When negative modes are detected, they are explicitly constructed and their dispersion relation is determined.
The material 's dispersion relation forms a hyperboloid.
This result was confirmed by determining the conduction-band dispersion relation at the surface.
For a pitch of 3 um, the dispersion relation is asymptotic in the free propagation zone.
A linear code has been implemented to solve non-perturbatively the fishbone dispersion relation obtained.
The surface-plasmon dispersion relation is obtained for a single-sheeted hyperboloid of revolution.
The nonlinear Schrödinger equation, generally, describes the competition between nonlinearity and a linear dispersion relation.
When a gap in the dispersion relation exists, the dynamics is that of Hamiltonian systems.
The function ω ( k ), which gives ω as a function of k, is known as the dispersion relation.
Figure 2: Monatomic chain phonon dispersion relation.
The connection between frequency and wavevector, ω ω ( k ), is known as a dispersion relation.
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