# dispersion relation

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## dispersion relation

n
(General Physics) physics the relationship between the angular frequency (ω;) of a wave and the magnitude of its wave vector (k). Thus the wave's speed is ω/k
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References in periodicals archive ?
By applying the wavenumber decomposition method , dispersion relations can be obtained and are illustrated in Figure 6.
The present ACDM includes dispersion relations [omega](q) (Figure 2) to involve contributions of all atomic vibration frequencies.
The linear form of BBM equation (1) which describes dispersive effect to the equation yields dispersion relation stating the relation between the wavenumber k and frequency w; the dispersion relation reads [omega] = k/(1 + [k.sup.2]).
In this case, the deformed energy-momentum dispersion relation equation (1) will go back to classical one when the energy of the test particle is much lower than [E.sub.p].
By means of the solutions to (5) in both media, one can find the corresponding expressions for [[xi].sub.r], and after merging these solutions, together with those for [p.sub.tot], through appropriate boundary conditions at the interface r = a, one can derive the dispersion relation of the normal modes propagating in the moving magnetic flux tube.
Considering the nondimensionalized linear dispersion relation  for deep water with a current, we think that the initial estimation of the nonlinear dispersion relation satisfies
Besides, the dispersion relations of TE waves and TM waves are dual (according to (4) and (8)), so we can get the other dispersion relation by exchanging the elements of [??] and [??] in either relation ([[micro].sub.x], [[micro].sub.y], and [[epsilon].sub.z] exchange with [[epsilon].sub.x], [[epsilon].sub.y], and [[micro].sub.z]).
where [[beta].sub.2] = [square root of [Q.sub.1]/[rho]2], which is the dispersion relation of Love-type wave when the interface of the layered half-space is regular.
Slinky-whistler dispersion relation from 'scaling'.
On the dispersion relation of random gravity waves, 1, (58) 2 (59)
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