What Is the Real-Time Form of the Incident Electric Field in a Plane Wave?

In summary, the conversation discusses the "real-time" form of an incident plane wave on a plane, which is represented by the electric field equation E = E_0 \^i e^\iota^(^\underline{k}.\underline{r} - \omega t). This phrase was used when talking about an interface where part of the wave is reflected and part is transmitted, and it refers to the electric field at a specific point in space without considering its spatial variation. The conversation also mentions the angular frequency and its relation to the phrase. However, the exact context is unclear.
  • #1
Ayame17
44
0
When talking about a transmitted plane wave incident on a plane, ie.

[tex]\underline{E} = E_0 \^i e^\iota^(^\underline{k}.\underline{r} - \omega t)[/tex]

what is meant by the "real-time" form of the incident electric field?
 
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  • #2
Where was this phrase used? Was it in a context where some kind of "time delay" make sense?
 
  • #3
No, it was about a plane wave on an interface where part was reflected and part was transmitted...it had the angular frequency shown and then mentioned that from above, which wasn't a phrase I recognised.
 
  • #4
Sounds like it is a reference to the E-field at some point in space, in other words, the spatial variation is being ignored (in which case one would get a sinusoidal variation in time).

It is hard to say though without knowing the exact context.

Claude.
 

1. What is a plane wave?

A plane wave is a type of electromagnetic wave that has a flat, planar wavefront. This means that the wave has a constant amplitude and phase at any point along the wavefront. Plane waves are often used to model the propagation of light and other electromagnetic radiation through space.

2. What is the electric field of a plane wave?

The electric field of a plane wave describes the strength and direction of the electric field vector at any point along the wavefront. It is perpendicular to the direction of wave propagation and its magnitude is constant at any point along the wavefront. The electric field of a plane wave can be described mathematically using Maxwell's equations.

3. How is the electric field of a plane wave related to the magnetic field?

According to Maxwell's equations, the electric and magnetic fields of a plane wave are perpendicular to each other and both are perpendicular to the direction of wave propagation. This means that the electric and magnetic fields oscillate in sync with each other, creating an electromagnetic wave that travels through space.

4. Can the electric field of a plane wave be polarized?

Yes, the electric field of a plane wave can be polarized. This means that the electric field vector oscillates in a specific direction, instead of in all directions perpendicular to the direction of wave propagation. Examples of polarization include linear, circular, and elliptical polarization.

5. How does the amplitude of the electric field change in a plane wave?

The amplitude of the electric field in a plane wave remains constant at any point along the wavefront. This means that the electric field strength does not increase or decrease as the wave propagates through space. The amplitude of the electric field can be changed by altering the properties of the medium through which the wave is traveling.

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