Everything about Dispersion relation
Relation of wavelength/wavenumber as a function of a wave's frequency
In the physical sciences and electrical engineering, dispersion relations describe the effect of dispersion on the properties of waves in a medium. A dispersion relation relates the wavelength or wavenumber of a wave to its frequency. Given the dispersion relation, one can calculate the frequency-dependent phase velocity and group velocity of each sinusoidal component of a wave in the medium, as a function of frequency. In addition to the geometry-dependent and material-dependent dispersion relations, the overarching Kramers–Kronig relations describe the frequency-dependence of wave propagation and attenuation. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Dispersion relationA 5-minute orientation
- Skim a recent paper: Dispersion relation for hadronic light-by-light scattering: subleading contributionsInfluential work since 2022
- Pick up a classic book: Dispersion theory in hig.energy physicsThe most-reprinted book on the subject
- Read the landmark paper: A Relationship between Nuclear Black Hole Mass and Galaxy Velocity DispersionCited 3,297 times
- Go sideways: WavenumberA closely related topic
- Go sideways: Dispersion (optics)A closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
A Relationship between Nuclear Black Hole Mass and Galaxy Velocity Dispersion
The Slope of the Black Hole Mass versus Velocity Dispersion Correlation
Phonon Dispersion Relation for Iron
Dispersion Relation Methods in Strong Interactions
Dispersion relation for computer-simulated plasmas
A dispersion relation for forward scattering
Dispersion relation for general anisotropic media
The Hose Instability Dispersion Relation
🆕 Influential since 2022
Dispersion relation for hadronic light-by-light scattering: subleading contributions
A dispersion relation for defect CFT
Tunable Roton-Like Dispersion Relation With Parametric Excitations
Crossing antisymmetric Polyakov blocks + dispersion relation
Nonlinear dispersion relation in integrable turbulence
📚 Books worth reading
Dispersion theory in hig.energy physicsN. M. Queen · 1974- 📕Three-particle physics and dispersion relation theoryA. V. Anisovich · 2013
- 📕A space-time discretization procedure for wave propagation problemsSanford S. Davis · 1990
Dispersion relations and the abstract approach to field theoryLewis Klein · 1961
A History of Japan, 15821941Cullen, L. M. · 2003
Quantum collision theoryC. J. Joachain · 1975- 📕Se san guan xi yin lunZhang, Zongsui.
- 📕Lectures on dispersion relationsAbraham Pais · 1959
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Wavenumber In the physical sciences, the wavenumber (or wave number), also known as repetency, is the spatial frequency of a wave. Ordinary wavenumber is defined…
- Dispersion (optics) Dispersion is the phenomenon in which the phase velocity of a wave depends on its frequency. Sometimes the term chromatic dispersion is used to refer to…
- Matter wave Matter waves are a central part of the theory of quantum mechanics, being half of wave–particle duality. At all scales where measurements have been practical…
- Wavelength In physics and mathematics, wavelength or spatial period of a wave or periodic function is the distance over which the wave's shape repeats. In other words…
- Phase velocity The phase velocity of a wave is the speed of any wavefront, a surface of constant phase. This is the velocity at which the phase of any constant-frequency…
- Group velocity The group velocity of a wave is the velocity with which the overall envelope shape of the wave's amplitudes—known as the modulation or envelope of the…
- Dispersion (water waves) In fluid dynamics, dispersion of water waves generally refers to frequency dispersion, which means that waves of different wavelengths travel at different…
- Phonon A phonon is a quasiparticle of vibrational energy that uniformly oscillates at a single frequency in a medium. They can be thought of as quantized sound…