electrical engineering, dispersion relations describe the effect of dispersion on the properties of waves in a medium. A dispersion relation relates the wavelength...

In fluid dynamics, dispersion of water waves generally refers to frequency dispersion, which means that waves of different wavelengths travel at different...

Clavin–Garcia equation or Clavin–Garcia dispersion relation provides the relation between the growth rate and the wave number of the perturbation superposed...

transverse optical phonons, this is due to the particular form of the dispersion relation of the phonon and photon and their interaction. Photons consist of...

result from coalescence of smaller wind-caused ripple-waves. The dispersion relation describes the relationship between wavelength and frequency in waves...

In physics, the energy–momentum relation, or relativistic dispersion relation, is the relativistic equation relating total energy (which is also called...

A nonlinear dispersion relation (NDR) is a dispersion relation that assigns the correct phase velocity v 0 {\displaystyle v_{0}} to a nonlinear wave structure...

DOS as a function of the wave vector, the system-specific energy dispersion relation between E and k must be known. In general, the topological properties...

wavelength: Dispersion (optics), for light waves Dispersion (water waves), for water waves Acoustic dispersion, for sound waves Dispersion relation, the mathematical...

of the acoustic dispersion relation, ∂ωk/∂k (see group velocity.) At low values of k (i.e. long wavelengths), the dispersion relation is almost linear...

the dispersion relation (relation between frequency and wavevector) is the same as in free space. At a higher frequency, the dispersion relation bends...

empirically measured parameter, carrier mobility. In general the dispersion relation cannot be approximated as parabolic, and in such cases the effective...

identical, as both are examples of a massless Bose gas with a linear dispersion relation. For a cube of side-length L {\displaystyle L} , the resonating modes...

Coulomb field of the induced charges at the grating boundaries. The dispersion relation for the Smith–Purcell effect (SPE) is given as follows: λ = L n (...

in the numerator can be ignored. We derive the ion acoustic wave dispersion relation for a linearized fluid description of a plasma with electrons and...

ω = 2πf. In all media, frequency and wavevector are related by a dispersion relation, ω = ω(k), and the group velocity can be written: v g = d ω ( k )...

general, dispersion is the phenomenon in which the phase velocity of a wave depends on its frequency; sometimes the term chromatic dispersion is used for...

free-space. The dispersion relation is plotted in Figure 3. At low k, the SPP behaves like a photon, but as k increases, the dispersion relation bends over...

The fast and slow magnetosonic waves are defined by a bi-quadratic dispersion relation that can be derived from the linearized MHD equations. Derivation...

§ Proof of the general case for a proof of this relation). An example assuming a parabolic dispersion relation for the density of states and the Maxwell–Boltzmann...

pressure gradient) a type of wave, named Langmuir wave, is excited. The dispersion relation is: ω 2 = ω p e 2 + 3 C e 2 k 2 {\displaystyle \omega ^{2}=\omega...

varies with the wavelength of the wave, which is reflected by a dispersion relation ω = ω ( k ) , {\displaystyle \omega =\omega (\mathbf {k} ),} where...

function ω(k), which gives ω as a function of k, is known as the dispersion relation. If ω is directly proportional to k, then the group velocity is exactly...

\sigma } is the temporal growth rate of the disturbance, then the dispersion relation is given by σ S L k = r r + 1 ( 1 + r 2 − 1 r − 1 ) {\displaystyle...

(proportional to momentum) is called a dispersion relation. Light waves in a vacuum have linear dispersion relation between frequency: ω = c k {\displaystyle...

data. Dispersion (optics) Linear response function Numerical analytic continuation John S. Toll (1956). "Causality and the Dispersion Relation: Logical...

π-band approximation, using a conventional tight-binding model, the dispersion relation (restricted to first-nearest-neighbor interactions only) that produces...

phonon modes: two linear dispersion relation dispersion relation in-plane modes (LA, TA) and one quadratic dispersion relation out-of-plane mode (ZA)....

follows. The dispersion relation determines how electrons respond to forces (via the concept of effective mass). A dispersion relation is the relationship...

dispersion, i.e., peaks in the dispersion relation. Schemes are generally grouped into two categories: material dispersion and waveguide dispersion....