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

relationship: the frequency dispersion relation ω 2 = Ω 2 ( k ) . {\displaystyle \omega ^{2}=\Omega ^{2}(k).\,} The dispersion relation has two solutions: ω = +Ω(k)...

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

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

The M–sigma (or M–σ) relation is an empirical correlation between the stellar velocity dispersion σ of a galaxy bulge and the mass M of the supermassive...

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...

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...

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

\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...

different states of matter. Dispersions are classified in a number of different ways, including how large the particles are in relation to the particles of the...

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...

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

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

galaxy's kinematic morphology, such that more dispersion-supported systems scatter below the relation. The tightest correlation is recovered when considering...

\arccos } of both sides. Thus, the expression gives rise to the dispersion relation. The right hand side of the last expression above can sometimes be...

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...

§ 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...

polarization being locked to the momentum in each branch of the dispersion relation. If a charge current flows in these spin-polarized surface states...

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

the periodicity of the dispersion relation and the division of k-space in Brillouin zones. The periodic energy dispersion relation is expressed as: E n...

romanized: gōlā), dispersion (Hebrew: תְּפוּצָה, romanized: təfūṣā) or exile (Hebrew: גָּלוּת gālūṯ; Yiddish: golus) is the dispersion of Israelites or...

the phase velocity. When the dispersion is small, the group velocity can be linked to the phase velocity by the relation: 22  v g = v − λ d v d λ , {\displaystyle...

physics and engineering, a constitutive equation or constitutive relation is a relation between two or more physical quantities (especially kinetic quantities...

July 2011. Retrieved July 18, 2011. Toll, John Sampson (1952). The dispersion relation for light and its application to problems involving electron pairs...

change of susceptibility with respect to frequency characterises the dispersion properties of the material. Moreover, the fact that the polarisation can...

precipitation mechanisms and attributed to the mean flow transport (advection and dispersion) and soil-mediated mechanisms of reaction (adsorption). Affinity of sorption...

presence of doublers is also reflected in the fermion dispersion relation. Since this is a relation between the energy ω {\displaystyle \omega } of the...

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...

of electromagnetic waves and phonons in ionic crystals and their dispersion relation, now known as phonon polaritons, were obtained by Kirill Tolpygo...

found to be equally as ambitious), for its Zones being vulnerable to dispersion, among other reasons, though it did attract a certain degree of investment...