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

AI Thread Summary
The discussion centers on the concept of the "real-time" form of the incident electric field in a plane wave, represented mathematically as E = E_0 e^(i(k·r - ωt)). The term "real-time" is questioned regarding its usage and whether it implies a context of time delay, which is not applicable here since the focus is on the behavior of the wave at an interface where reflection and transmission occur. The conversation highlights that the phrase may refer to the electric field's behavior at a specific spatial point, suggesting that spatial variation is not considered, leading to a sinusoidal time variation. The exact context of the term remains unclear, indicating a need for further clarification. Understanding this concept is crucial for analyzing wave interactions at boundaries.
Ayame17
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When talking about a transmitted plane wave incident on a plane, ie.

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

what is meant by the "real-time" form of the incident electric field?
 
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Where was this phrase used? Was it in a context where some kind of "time delay" make sense?
 
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.
 
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.
 

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