Electromagnetic wave in two media

In summary, when an EM wave travels from one medium to another, it refracts according to Snell's law. However, if the wave travels along the boundary of the two mediums, it will separate into two strands, similar to a column of soldiers with one file on the road and the other in the mud. This can result in transient effects such as interference and evanescent "dragging" within the media. A more thorough analysis can be found in a graduate level optics course when studying fiber optic behavior.
  • #1
The Flobjka
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So if an EM waves travels from one medium to the other, it refracts depending on Snell's law. But what happens when it doesn't travel from one to the other, but goes right along the boundary so that one end of the amplitude is in each medium? As the wave "waved", would it have different speeds at different points in the wave? Is it even possible?
 
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  • #2
The wave will separate into two strands ... just like a column of soldiers with one file on the rode, and the other in the mud.

There are other, transient effects inside of the media - some related to interference, some due to evanescent "dragging". You will find a very complete analysis when you study fiber optic behavior in a graduate level optics course.
 
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1. What is an electromagnetic wave?

An electromagnetic wave is a type of energy that is created when an electric field and a magnetic field interact with each other. These waves are characterized by their frequency, wavelength, and amplitude.

2. How does an electromagnetic wave travel through two different media?

When an electromagnetic wave encounters a boundary between two different media, it can either be transmitted, reflected, or absorbed. The amount of each depends on the properties of the media and the angle at which the wave hits the boundary.

3. What is the difference between reflection and refraction of an electromagnetic wave?

Reflection occurs when an electromagnetic wave bounces off a boundary between two media, while refraction occurs when the wave changes direction and speed as it passes through the boundary. The amount of refraction depends on the angle at which the wave hits the boundary and the properties of the media.

4. How does the speed of an electromagnetic wave change when it travels through different media?

The speed of an electromagnetic wave changes when it travels through different media because each medium has a different index of refraction. This is a measure of how much the speed of light decreases when it passes through a particular medium. The higher the index of refraction, the slower the speed of light in that medium.

5. What is the relationship between the frequency and wavelength of an electromagnetic wave?

The frequency and wavelength of an electromagnetic wave are inversely proportional. This means that as the frequency increases, the wavelength decreases, and vice versa. This relationship is described by the equation λ=c/f, where λ is the wavelength, c is the speed of light, and f is the frequency.

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