Phase Velocity
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The phase velocity of a wave is the rate at which the wave propagates in any medium. This is the velocity at which the phase of any one frequency component...- the leading edge of the group. The idea of a group velocity distinct from a wave's phase velocity was first proposed by W.R. Hamilton in 1839, and the...
Dispersion relation (redirect from Phase velocity dispersion)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...- Dispersion (water waves) (section Phase velocity)phase speed. While the phase velocity is a vector and has an associated direction, celerity or phase speed refer only to the magnitude of the phase velocity...
Wave (redirect from Wave propagation velocity)are two velocities that are associated with waves, the phase velocity and the group velocity. Phase velocity is the rate at which the phase of the wave...
dielectric medium (such as distilled water) at a speed greater than the phase velocity (speed of propagation of a wavefront in a medium) of light in that medium...- ^{2}}{2m}}\nabla ^{2}\right)\psi (\mathbf {r} ,t)d^{3}\mathbf {r} .} The phase velocity is defined to be the speed at which a plane wave solution propagates...
Negative-index metamaterial (redirect from Negative phase velocity mediums)reverse of the electromagnetic wave, characterized by an antiparallel phase velocity is also an indicator of negative index of refraction. Furthermore, negative-index...
{1}{v}}.} The phase velocity is the speed at which the crests or the phase of the wave moves, which may be different from the group velocity, the speed at...
motion. Four-velocity (relativistic version of velocity for Minkowski spacetime) Group velocity Hypervelocity Phase velocity Proper velocity (in relativity...- Matter wave (section Phase velocity){\displaystyle \mathbf {v} } is the velocity of the center of mass of the particle, identical to the group velocity. The phase velocity in isotropic media is defined...
- Capillary wave (section Phase velocity minimum)capillary wave is a wave traveling along the phase boundary of a fluid, whose dynamics and phase velocity are dominated by the effects of surface tension...
- Electrical length (section Velocity factor)flows through a given conductor such as a wire or cable at a particular phase velocity v p {\displaystyle v_{p}} . It takes time for later portions of the...
Envelope (waves) (section Phase and group velocity)the distance Δx is related to the time interval Δt by the so-called phase velocity vp vp=ΔxΔt=λf .{\displaystyle v_{\rm {p}}={\frac {\Delta x}{\Delta t}}=\lambda...- Negative refraction (section Negative phase velocity)opposition of wave vector to group velocity, and energy to velocity. "Phase velocity" is used conventionally, as phase velocity has the same sign as the wave...
Speed of light (redirect from Velocity of light)velocities can exceed c. The phase velocity of X-rays through most glasses can routinely exceed c, but phase velocity does not determine the velocity...
number k. Numerical methods are used to find the phase velocity cp = fλ = ω/k, and the group velocity cg = dω/dk, as functions of d/λ or fd. cl and ct...- fluid velocity (excluding the other phase, solids, etc.), m/s. The local physical velocity can still be different than the average fluid velocity because...
- Wave velocity may refer to: Phase velocity, the velocity at which a wave phase propagates Pulse wave velocity, the velocity at which a pulse travels through...
Dispersion (optics) (section Group-velocity dispersion)wave propagation in general, dispersion is the phenomenon in which the phase velocity of a wave depends on its frequency; sometimes the term chromatic dispersion...
- English Wikipedia has an article on: phase velocity Wikipedia phase velocity (physics) The velocity of propagation of a pure sine wave of infinite extent
- Statistical inquiries were next directed to the phases (or conditions with respect to configuration and velocity) which succeed one another in a given system
- rate of change of velocity d v d t {\displaystyle {\frac {dv}{dt}}} , gravitational force m g {\displaystyle mg} , and velocity v {\displaystyle v}
- packets, referred to as the group velocity, is given by u = 0.1 m − 1 {\displaystyle u=\ 0.1{\mbox{m}}^{-1}} . The phase speed of deep ocean waves is c