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The phase velocity is: vp = ω/k. The function ω(k), which gives ω as a function of k, is known as the dispersion relation. If ω is directly proportional to k, then the group velocity is exactly equal to the phase velocity.
- What is phase velocity and its formula?
- What is phase velocity and group velocity formula?
- What is phase velocity in optics?
- What is the phase velocity of electron?
What is phase velocity and its formula?
A plane wave traveling in the + z direction can be written as sin k z − ω t . The wave moves at a speed that keeps the argument of the sine function a constant. For convenience, this constant is chosen to be zero and the argument becomes k z − ω t = 0 . Rearranging this equation gives z / t = ω / k .
What is phase velocity and group velocity formula?
The Group Velocity and Phase Velocity relation can be mathematically written as- V g = V p + k d V p d k. Where, Vg is the group velocity. Vp is the phase velocity.
What is phase velocity in optics?
The phase velocity of light is the velocity with which phase fronts propagate in a medium. It is related to the wavenumber k and the (angular) optical frequency ω: In vacuum, the phase velocity is c = 299 792 458 m/s, independent of the optical frequency, and equals the group velocity.
What is the phase velocity of electron?
The velocity v of the electron in the free electron gas model is the velocity with which the phase of the wave moves, it is called phase velocity vP. As long as a single plane wave symbolizes all that is to a particle, the phase velocity is automatically also the particle velocity v.
