dispersion relation


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dispersion relation

[də′spər·zhən ri‚lā·shən]
(nuclear physics)
A relation between the cross section for a given effect and the de Broglie wavelength of the incident particle, which is similar to a classical dispersion formula.
(physics)
An integral formula relating the real and imaginary parts of some function of frequency or energy, such as a refractive index or scattering amplitude, based on the causality principle and the Cauchy integral formula.
(plasma physics)
A relation between the radian frequency and the wave vector of a wave motion or instability in a plasma.
References in periodicals archive ?
which is the classical dispersion relation of Love wave (as Love [29]) in a homogeneous layer over a homogeneous half-space.
4) The study in the section 6, the nonlinear effect in the dispersion relation for random water waves, is a fundamental problem concerning the spectral model of wind waves.
At each port of helical lines, the transmission matrix and S-parameter matrix are completely determined by the dielectric permittivities and the dispersion relation of the helical lines.
DISPERSION RELATION FOR SW IN THE LAYERED PERIODIC STRUCTURE OF FINITE LENGTH
Figure 3 shows, in long wave approximation, the soft branches of the dispersion relation for [[GAMMA] = 1 in the absence of intermolecular forces ([PHI] = 0) and for [PHI] = 0.
We calculate the double time Green's functioiis to get the dispersion relation of the excitations of the system.
Tenders are invited for Vendors are requested to quote Set up for Electron Spin Resonance spectrometer set up : complete set up,Digital storage oscilloscope,Set up for the study of dispersion relation in a periodic electrical circuit:an analog of monatomic and diatomic lattice vibrations,Set up for the study of optical characteristics of a LED and determination of band gap of the material of LED.
19], it can be shown that the dispersion relation of fiber will assume the general simplified form as
As the underlying dispersion relation (9) is a transcendental equation, a useful approach to obtain sample values of a is to apply Newton's method [30].
2]/2 while in the small k limit it reproduces the bulk-plasmon dispersion relation.