I had just phantomed my ship and was cruising at phase velocity when the alarm went.

This difference in phase velocities leads to the Faraday effect.

The phase velocity is the wave speed of the carrier.

We've taken phase velocity as far as it will go.

This reduction in speed is quantified by the ratio between c and the phase velocity.

If the phase velocity goes to infinity in the first term on the right, we simply has:

The phase velocity of the sound wave is viewed as a function of frequency.

On the other hand, the wave vector points in the direction of phase velocity.

At the boundary between the media, the wave's phase velocity is altered, usually causing a change in direction.

This value should not be confused with n, which is always defined with respect to the phase velocity.

In general, the condition for linear instability is that the imaginary part of the "wave speed" c be positive.

As a result, wave speeds cannot be used simply and directly to measure temperature, but more sophisticated approaches must be taken.

The phase velocity is the wave speed of the carrier.

The group velocity is the wave speed of the modulation or envelope.

If material properties change within the characteristic energy length scale, local wave speeds can dominate crack dynamics.

If you hold the frequency constant, wavelength will determine the wave speed.

Beyond this depth the compression of solid rock such as silicates can account for the increasing wave speeds.

At depths greater than about 100 km the wave speeds are rather uncertain.

The wave shape for a given wave speed is unique.

Frequency has to do with wave speed and wavelength is a measurement of a wave's span.