Why do x rays travel faster than light in some states of matter

In summary: So at certain frequencies, the refractive index might be smaller than 1. This does not contradict the theory of relativity, which holds that no information-carrying signal can ever propagate faster than c.
  • #1
Gobil
59
0
hi All,

why is this? some matter has a refractive index of slightly less than one for light in the x ray region. This implies a phase velocity faster than c, right? could someone explain what is actually happening here?

THANKS!
 
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  • #2
The dielectric constant increases when approaching a resonance (normal dispersion), decreases rapidly in the resonance region (anomalous dispersion) and increases again after the resonance. In the optical region and below, the relative dielectric function is mostly >1, as the electonic resonances are somewhere in the UV. Above the UV all resonances are to the left and the dielectric function approaches 1 from below.
Phase velocity may take on (almost) any value you like, as signal velocity depends on group velocity, not on phase velocity.
 
  • #3
but normally the refractive index is described as c/v, where v is the velocity of the light in the medium with index n. so what is traveling faster than c in the case of xrays?
 
  • #4
Can you point us at the originla source for what you write? Otherwise we are trying to explain something we can only guess about.
 
  • #6
Gobil said:
but normally the refractive index is described as c/v, where v is the velocity of the light in the medium with index n. so what is traveling faster than c in the case of xrays?

The phase speed v in the medium is in deed higher than the phase speed in vacuo c.
 
  • #7
And x-rays don't appear in the Wiki article. What exactly is your question?
 
  • #8
thanks Dr. Du,

does this mean the phase speed is greater than c in vacuo too, for some frequencies?

Vanadium 50,

From the posted wiki article:

"The number n is typically greater than one. However, at certain frequencies (e.g. near absorption resonances, and for X-rays), n will actually be smaller than one[7] (see also Cherenkov radiation). This does not contradict the theory of relativity, which holds that no information-carrying signal can ever propagate faster than c, because the phase speed is not the same as the group speed or the signal speed."
 

Related to Why do x rays travel faster than light in some states of matter

1. Why do x-rays travel faster than light in some states of matter?

In some states of matter, such as in a vacuum or in certain types of crystals, x-rays can travel faster than light because they have a shorter wavelength and higher frequency than visible light. This allows them to pass through these materials more easily, resulting in a faster speed.

2. How do x-rays travel faster than light in certain states of matter?

The speed of light in a vacuum is considered to be the fastest possible speed, but this only applies to visible light. X-rays have shorter wavelengths and higher frequencies, which allow them to pass through materials more easily and travel faster than light in certain states of matter.

3. Is it possible for anything to travel faster than the speed of light?

According to Einstein's theory of relativity, the speed of light in a vacuum is considered to be the fastest possible speed. While x-rays can travel faster than visible light in certain states of matter, they still cannot exceed the speed of light in a vacuum.

4. What makes x-rays different from visible light that allows them to travel faster in some states of matter?

X-rays and visible light are both forms of electromagnetic radiation, but they have different wavelengths and frequencies. X-rays have shorter wavelengths and higher frequencies, which give them the ability to penetrate and travel through certain materials more easily, resulting in a faster speed.

5. Are there any other factors that can affect the speed of x-rays in different states of matter?

Yes, the density and composition of the material can also impact the speed of x-rays. In materials with a higher density or different composition, the x-rays may experience more scattering or absorption, resulting in a slower speed compared to a vacuum or a material with a lower density.

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