Speed of electromagnetic wave in matter

In summary, the speed of electromagnetic waves in a medium depends on the refractive index of the material.
  • #1
Julle
5
0
I've been looking all over the web for this stuff and I simply can't find anything that gives a proper explanation.

What determines the speed of say, radio waves, in a medium? I know electromagnetic waves travel at the speed of light and as such I guess I can use the refractive index to figure it out, but what of materials where a refractive index isn't at hand?

A few examples question to get my meaning across a bit better:

How fast does radio waves propagate in fresh water? Do they propagate at the same speed in sea water? What if I increase the salinity of the sea water, does that change the speed?

What about something like a dense vs a not so dense plastic?

Can it be assumed that a more dense material also slows down the radio waves more or is it something completely different that affects the speed?
 
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  • #2
Electromagnetic waves (eg light) always travel at the speed of light.
In a material photons travel at the speed of light until they hit an atom, they are then absorbed and excite that atom, a very short time later that atom de-excites and re-emits the photon.
It is this delay that produces the slow down of the speed of light in a material = the refractive index.

The refractive index isn't directly related to density in different material.
Although in many crystals and glasses it's a good approximation because density tells you how many atoms per cm^3 and so how many atoms a photon will interact with in it's passage.

The refractive index of water is about 1.33 but the salinity and temperature of water does effect the refractive index.
You can see this diving, a stream of fresh water from a spring will distort the image you see through it.

salinity
(gm/kg) increase in n(w) example
--------------------------------------------------------
5 0.00097 northern Baltic Sea
10 0.00194
15 0.00290
20 0.00386 bight of Biafra
25 0.00482
30 0.00577
35 0.00673 Atlantic surface
40 0.00769 northern Red Sea
 
  • #3
A FAQ at the beginning of this forum describes a DIFFERENT process and claims the above explanation incorrect:

A common explanation that has been provided is that a photon moving through the material still moves at the speed of c, but when it encounters the atom of the material, it is absorbed by the atom via an atomic transition. After a very slight delay, a photon is then re-emitted. This explanation is incorrect and inconsistent with empirical observations. If this is what actually occurs, then the absorption spectrum will be discrete because atoms have only discrete energy states. Yet, in glass for example, we see almost the whole visible spectrum being transmitted with no discrete disruption in the measured speed. In fact, the index of refraction (which reflects the speed of light through that medium) varies continuously, rather than abruptly, with the frequency of light.

See that FAQ for a more complete explanation.
 
  • #4
Yes - it's a gross over simplification to say it is simply absorbed and re-emitted by an atom.
It interacts with the various fields formed by the arrangements of the atoms, the lattice and various phonon states.

But it seemed a reasonable model for this level of answer - I should probably have said 'interacts with the material' rather than hits an atom
 
  • #5
The index of refraction (and the speed in material) depends on frequency.
So you cannot assume that the index of refraction for visible light (about 1.33) is valid for any electromagnetic waves.
In order to find an answer to your question you need first to make more precise (what kind of radio waves, what frequency range) and then look for info, if available.
Dispersion curves for various materials (speed of em waves versus frequency) can be found.
For sure you'll find them for water, maybe even for sea water.
 

What is the speed of an electromagnetic wave in matter?

The speed of an electromagnetic wave in matter depends on the properties of the medium it is traveling through. In a vacuum, the speed of an electromagnetic wave is approximately 299,792,458 meters per second, which is often denoted by the letter 'c'. However, when traveling through matter, the speed of an electromagnetic wave can vary and is typically slower than the speed of light. It can range from nearly the speed of light in less dense materials, to significantly slower in denser materials.

What factors can affect the speed of an electromagnetic wave in matter?

The speed of an electromagnetic wave in matter can be affected by several factors, including the density and composition of the medium, the temperature, and the presence of any external fields. In general, denser materials will slow down the speed of the wave, while less dense materials will allow it to travel faster.

How does the speed of an electromagnetic wave in matter relate to the refractive index?

The refractive index of a material is a measure of how much the speed of light is reduced when traveling through that material. The speed of an electromagnetic wave in matter is directly related to the refractive index - a higher refractive index indicates a slower speed of the wave, while a lower refractive index indicates a faster speed.

Is the speed of an electromagnetic wave in matter constant?

No, the speed of an electromagnetic wave in matter is not constant. As mentioned before, it can vary depending on the properties of the medium it is traveling through. Additionally, the speed of an electromagnetic wave can also be affected by external factors such as changes in temperature or the presence of magnetic or electric fields.

How is the speed of an electromagnetic wave in matter measured?

The speed of an electromagnetic wave in matter can be measured using various techniques, including time-of-flight measurements, interferometry, and Doppler shift measurements. These methods involve measuring the time it takes for the wave to travel a certain distance through the medium or analyzing the changes in its frequency or wavelength as it travels through the medium.

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