Phase Velocity: What Does it Tell Us About Waves?

In summary, phase velocity is the speed at which the peaks of a continuous, unmodulated wave progress. It is not easy to measure and typically requires modulation of the wave. For light, the group velocity is often used to measure speed, especially for shorter wavelengths.
  • #1
manimaran1605
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What is phase velocity? I know it is defined as v=ω/κ
But what does this phase velocity tells about the wave? Does it means the velocity of wave?
 
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  • #2
It simply tells you the speed at which the peaks (etc.) of a continuous, unmodulated wave will progress.

This is not a quantity that is easy to measure when you need to involve many cycles of the wave from A to B. We need to modulate the beam, normally - for measuring the speeds of em waves (except the longer wavelengths, where we can measure the frequency accurately and also find the wavelength easily). For light, we need to look at the group velocity (of a light pulse, for instance).
 

Related to Phase Velocity: What Does it Tell Us About Waves?

1. What is phase velocity?

Phase velocity is the speed at which the phase of a wave propagates through space. It is a measure of how quickly the peaks and troughs of a wave move in a particular direction.

2. How is phase velocity different from group velocity?

Phase velocity and group velocity are two different ways of measuring the speed of a wave. While phase velocity measures the speed at which the wave's phase moves, group velocity measures the speed at which the wave's energy or information is transmitted.

3. What does phase velocity tell us about a wave?

The phase velocity of a wave tells us about its wavelength and frequency. It also gives us information about how the wave will travel through different mediums, as the phase velocity can change depending on the properties of the medium.

4. How is phase velocity calculated?

Phase velocity is calculated by dividing the wave's frequency by its wavelength. It is typically represented by the symbol vp.

5. Can phase velocity be greater than the speed of light?

No, phase velocity cannot be greater than the speed of light. According to Einstein's theory of relativity, no information or energy can travel faster than the speed of light in a vacuum. However, the phase velocity of a wave can exceed the speed of light in certain mediums, but this does not violate the laws of physics.

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