# Questions tagged [phase-velocity]

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### Theoretical question about waves and interference

Assume I’m given a standing wave function and I’m asked to find the phase velocity of the two waves that interfered and created the standing wave. Now, I have two questions: Is it possible to move ...
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### Why is the speed of a quantum particle defined as coefficient of $t$ over coefficient of $x$?

I’m currently studying quantum mechanics from Introduction to Quantum Mechanics by Griffiths. In his free particle section, he says that the speed of a particle is the coefficient of $t$ over the ...
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### Significance of Group velocity Equation

$$v_g\equiv\frac{\partial\omega}{\partial k}.$$ The above equation is for Group velocity of waves, so what is the Physical Interpretation of this Equation? As we know $k$ is wave number which shows ...
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### Question concerning phase curves and Lissajous figures

I want to draw the "orbits" of a spherical pendulum under small oscillations. In this case its equations are given by $\ddot{x}_{1}=-x_{1}$ and $\ddot{x}_{2}=-x_{2}$. Of course the potential ...
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### When height increases then why velocity becomes low?

It's an example. The satellite is moving around the earth. But when its height increases its velocity becomes low
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### How does the width or depth of a container of water affects the speed of an object (e.g. a toy boat) travelling on it?

I am planning to carry out an experiment to investigate how the distance between an object travelling on water (i.e. a toy boat) and the walls would affect its speed. I predict that the speed will ...
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### Lightspeed - what do we measure? Wave group, phase, front and signal velocities

I'm studying for an experiment of measuring the lightspeed c. It will be measured following the rotating mirrors method by Fizeau-Foucault, using a HeNe laser. I could understand - and visualize - ...
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### What is the correct expression for phase velocity of a relativistic free particle?

According to most books,the relativistic free particle with velocity $v$ has phase velocity, $$v_p=\frac{c^2}{v}\tag{1}$$ But, a free particle also means potential energy $V=0$.Therefore we might as ...
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### Phase velocity of a wave function across a potential energy step

I'm trying to do point c of problem 2.34 in Griffiths' book on QM: It requires that I find the relative phase speed of the wave function outside and inside the potential. We're given the expression ...
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### What is the difference, if any, between propagation velocity and phase velocity?

My textbook for my electromagnetic waves class mentions both propagation velocity and phase velocity separately, without specifically defining either. When I googled both terms, I couldn't find a ...
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### Does phase velocity or group velocity change when light enters a new material? Contradictory sources

I'm so confused. I've read in this book (page 28) that group velocity of light can exceed $c$ in certain gases. However a lot of people online and in the forums say that phase velocity can exceed $c$. ...
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### Why do matter waves have superluminal phase velocites?

Specifically why do they have $V = \frac{c}{β}$ as stated in this paper written by De Broglie: http://aflb.ensmp.fr/LDB-oeuvres/De_Broglie_Kracklauer.pdf ? I follow the proof of “phase harmony” ...
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### Which formulae should I use when calculating the frequency of an electron given its speed? [duplicate]

If I know the speed of an electron, how should I go about calculating its frequency? For example, if the electron was travelling at $v$ $ms^{-1}$ there are two options I could take. Calculate the ...
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### What are the phase speeds of $A_0$ and $S_0$ Lamb waves at very low frequencies?

Lamb waves are elastic wave modes in plates. In general, they are mathematically complex to deal with, and numerical solutions are typically used to find dispersion curves for each mode, as shown in ...
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### How to calculate the phase and group velocity of a superposition of sine waves with different speed and wavelength?

This might seem like a trivial question but it is not for me. So, I was reading on group and phase velocities from A.P. French where he calculates the phase and group velocities for a superposition of ...
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### Why the direction of propagation of wave is perpendicular to wavefront at each point

Why is the direction of propagation of a wave perpendicular to the wavefront at each point? I know this sounds intuitively true, but a simple mathematical proof would be very helpful. If I have an ...
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### Link between properties of dispersive systems and group velocity larger than phase velocity

I recently bumped into systems where the group velocity is larger than the phase velocity (capillary waves for example). What does it mean in terms of system properties ? When does a system have a ...
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### anticausal group velocity?

https://en.wikipedia.org/wiki/Anomalous_dispersion claims: Recently, it has become possible to create gases in which the group velocity is not only larger than the speed of light, but even ...
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### Group and phase velocity - why can the latter be faster than light? [duplicate]

The phase velocity can be faster than light. Some argue that the phase velocity doesn't convey information, but this doesn't convince me. We can emit a wave of a single one frequency. Then it will ...
938 views

### What is meant by 'Phase velocity is $c^2/v$' [closed]

Is phase velocity $c^2/v$ or $v/2$? Is there only one phase velocity as indicated by the above formula? If yes then why is wavepacket said to be superposition of 'waves' whose velocity is termed as ...
Why does light speed suffer a reduction when it passes through a homogeneous dielectric medium? I know my math says so, i.e.- a highly polarizable ($\chi$) medium is associated with high $\epsilon$ (=\$...