Does the Speed of EM in a Medium Vary for Different Wavelengths?

In summary, the speed of light in a medium varies with the wavelength and refractive index, leading to dispersion and the splitting of visible light by a prism. Different wavelengths of EM travel at different speeds, allowing for the possibility of seeing objects at different times. This delay is caused by the interaction between the EM wave and the atoms in the medium, resulting in a slower overall propagation velocity.
  • #1
ImaLooser
489
4
Visible light propagates at less than c in water.

What about other wavelengths of EM? Do they all travel at the same reduced speed? I think not, but am not sure. If they travel at different speeds then Suzanna can be seen comin' round the mountain in certain wavelengths before others.
 
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  • #3
ImaLooser said:
Visible light propagates at less than c in water.

What about other wavelengths of EM? Do they all travel at the same reduced speed? I think not, but am not sure.

Not at the same reduced speed. This is how a prism splits light up. Different wavelengths are refracted differently.

If they travel at different speeds then Suzanna can be seen comin' round the mountain in certain wavelengths before others.

If the mountain is a prism, you'll see multiple Suzannas split into all the colours of the rainbow.
 
  • #4
krd said:
Not at the same reduced speed. This is how a prism splits light up. Different wavelengths are refracted differently.



If the mountain is a prism, you'll see multiple Suzannas split into all the colours of the rainbow.

If the mountain is of glass and Suzanna suddenly materializes behind it, then you will see the a violet Suzanna first. If she then dematerializes, you see the red Suzanna last.
 
  • #5
The propagation velocity depends on the frequency and the material very significantly. Essentially, the delay in propagation in medium is caused by this process: the EM wave perturbs the atoms, they get "polarized", which creates internal EM field that interfers with the incoming EM, and the combined EM appears to travel slower. Obviously, this process depends on the material and the incoming radiation.
 

FAQ: Does the Speed of EM in a Medium Vary for Different Wavelengths?

What is the speed of electromagnetic waves in a medium?

The speed of electromagnetic waves in a medium depends on the properties of the medium, such as its density and electric permittivity. In a vacuum, the speed of electromagnetic waves is approximately 299,792,458 meters per second, or about 186,282 miles per second.

How does the speed of electromagnetic waves in a medium differ from the speed of light in a vacuum?

The speed of electromagnetic waves in a medium is generally slower than the speed of light in a vacuum. This is because the medium's properties affect the propagation of the waves, causing them to slow down.

Can the speed of electromagnetic waves in a medium be faster than the speed of light?

No, the speed of electromagnetic waves in a medium can never exceed the speed of light in a vacuum. This is a fundamental principle of physics known as the universal speed limit.

How does the speed of electromagnetic waves in a medium affect the wavelength and frequency of the waves?

The speed of electromagnetic waves in a medium is directly proportional to the wavelength and inversely proportional to the frequency. This means that as the speed increases, the wavelength also increases, while the frequency decreases.

What factors can affect the speed of electromagnetic waves in a medium?

The speed of electromagnetic waves in a medium can be affected by various factors, including the type of medium, its temperature, and the presence of other materials or particles in the medium. Additionally, the wavelength and frequency of the waves can also impact their speed in a medium.

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