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...

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...

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...

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...

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...

§ 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...

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

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...

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

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...

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

\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...

The Jewish diaspora (Hebrew: גוֹלָה gōlā), alternatively the dispersion (תְּפוּצָה təfūṣā) or the exile (גָּלוּת gālūṯ; Yiddish: גלות gōləs), consists...

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

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...

\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...

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

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

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...

materials at energies near and greater than their optical band gap. The dispersion relation bears the names of Rahim Forouhi and Iris Bloomer, who created the...

is an optical phenomenon caused by refraction, internal reflection and dispersion of light in water droplets resulting in a continuous spectrum of light...

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

treatment of systems which are dominated by dispersion (e.g. interacting noble gas atoms) or where dispersion competes significantly with other effects...

and A. M. Kosevich. "On the theory of the De Haas–Van Alphen effect for particles with an arbitrary dispersion law." Dokl. Akad. Nauk SSSR. Vol. 96. 1954...

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...