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- Phase_velocity abstract "The phase velocity of a wave is the rate at which the phase of the wave propagates in space. This is the velocity at which the phase of any one frequency component of the wave travels. For such a component, any given phase of the wave (for example, the crest) will appear to travel at the phase velocity. The phase velocity is given in terms of the wavelength λ (lambda) and period T asOr, equivalently, in terms of the wave's angular frequency ω, which specifies angular change per unit of time, and wavenumber (or angular wave number) k, which represents the proportionality between the angular frequency ω and the linear speed (speed of propagation) νp:To understand where this equation comes from, imagine a basic sine wave, A cos (kx−ωt). Given time t, the source produces ωt/2π = ft oscillations. At the same time, the initial wave front propagates away from the source through the space to the distance x to fit the same amount of oscillations, kx = ωt. So that the propagation velocity v is v = x/t = ω/k. The wave propagates faster when higher frequency oscillations are distributed less densely in space. Formally, Φ = kx−ωt is the phase. Since ω = −dΦ/dt and k = +dΦ/dx, the wave velocity is v = dx/dt = ω/k.".
- Phase_velocity thumbnail Wave_group.gif?width=300.
- Phase_velocity wikiPageExternalLink 20.html.
- Phase_velocity wikiPageExternalLink group_and_phase_velocity.
- Phase_velocity wikiPageExternalLink dispersion.
- Phase_velocity wikiPageID "25098".
- Phase_velocity wikiPageRevisionID "602080060".
- Phase_velocity hasPhotoCollection Phase_velocity.
- Phase_velocity subject Category:Wave_mechanics.
- Phase_velocity comment "The phase velocity of a wave is the rate at which the phase of the wave propagates in space. This is the velocity at which the phase of any one frequency component of the wave travels. For such a component, any given phase of the wave (for example, the crest) will appear to travel at the phase velocity.".
- Phase_velocity label "Phase velocity".
- Phase_velocity label "Phasengeschwindigkeit".
- Phase_velocity label "Prędkość fazowa".
- Phase_velocity label "Velocidad de fase".
- Phase_velocity label "Velocità di fase".
- Phase_velocity label "Vitesse d'une onde".
- Phase_velocity label "Voortplantingssnelheid".
- Phase_velocity label "Фазовая скорость".
- Phase_velocity label "سرعة الطور".
- Phase_velocity label "位相速度".
- Phase_velocity label "相速度".
- Phase_velocity sameAs Fázová_rychlost.
- Phase_velocity sameAs Phasengeschwindigkeit.
- Phase_velocity sameAs Velocidad_de_fase.
- Phase_velocity sameAs Vitesse_d'une_onde.
- Phase_velocity sameAs Velocità_di_fase.
- Phase_velocity sameAs 位相速度.
- Phase_velocity sameAs Voortplantingssnelheid.
- Phase_velocity sameAs Prędkość_fazowa.
- Phase_velocity sameAs m.068n3.
- Phase_velocity sameAs Q13824.
- Phase_velocity sameAs Q13824.
- Phase_velocity wasDerivedFrom Phase_velocity?oldid=602080060.
- Phase_velocity depiction Wave_group.gif.
- Phase_velocity isPrimaryTopicOf Phase_velocity.