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The phase velocity is the wave speed of the carrier.
We've taken phase velocity as far as it will go.
Mathematically, this means that the size of the phase velocity changes.
On the other hand, the wave vector points in the direction of phase velocity.
This difference in phase velocities leads to the Faraday effect.
I had just phantomed my ship and was cruising at phase velocity when the alarm went.
Phase velocity is the velocity of each wave with a given frequency.
If the phase velocity goes to infinity in the first term on the right, we simply has:
This reduction in speed is quantified by the ratio between c and the phase velocity.
The group velocity is one half the phase velocity.
A wave in which the group and phase velocities differ is called dispersive.
At the boundary between the media, the wave's phase velocity is altered, usually causing a change in direction.
The phase velocity of the sound wave is viewed as a function of frequency.
In this case, phase velocity and group velocity are the same:
This value should not be confused with n, which is always defined with respect to the phase velocity.
These special disturbances propagate through a material at a speed slower than c called the phase velocity.
The superluminal phase velocity does not violate special relativity, as it carries no information.
This wave travels in the +x direction with speed (more specifically, phase velocity) .
However, as stated above, a superluminal phase velocity cannot be used for faster-than-light transmission of information.
The phase velocity is important in determining how a light wave travels through a material or from one material to another.
A phase velocity is the speed at which an individual wave travels, having its own characteristic wavelength and frequency.
These waves can propagate at extremely low phase velocities and they may be important for some practical applications.
For particles on the plate surface, these conditions occur when the Lamb wave phase velocity is 2c or c, respectively.
Anomalous dispersion can also be used to produce group and phase velocities that are in different directions.
In shallow water, the group velocity is equal to the shallow-water phase velocity.