How Do Plane Waves Behave in Electromagnetic Theory?

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Discussion Overview

The discussion revolves around the behavior of plane waves in electromagnetic theory, particularly focusing on the relationship between electric and magnetic fields in wave propagation. Participants explore the nature of electric field waves and their potential existence without accompanying magnetic fields.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant requests visualizations of plane waves and inquires about the alignment of electric field vectors in the absence of a magnetic field.
  • Another participant references a previous post to support the claim that a wave of electric field cannot exist without a magnetic field, citing Maxwell's equations.
  • A different participant argues that it is indeed possible to have an electric field wave without a magnetic field under specific conditions, such as in longitudinal waves found in plasmas.
  • One participant shares a link to a resource that may provide additional information on electromagnetic waves.

Areas of Agreement / Disagreement

There is disagreement among participants regarding the possibility of electric field waves existing independently of magnetic fields. Some assert that such a scenario is impossible, while others propose that it can occur under certain conditions.

Contextual Notes

The discussion includes assumptions about the nature of waves and the applicability of Maxwell's equations, as well as specific conditions under which electric field waves may exist without magnetic fields.

Ratzinger
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I would like to see some nice visualizations of plane waves. Has anyone a nice link or knows a book where to find such?

For EM waves the perpendicular E and B vector span a plane at each instant of time, right?

What if there would be only an electric field wave. Would there be also a planes, i.e. are there many electric field vectors aligned next to each other at each point in time?
 
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Maybe posting #6 in this thread will help:

https://www.physicsforums.com/showthread.php?p=533190

I don't think it's possible to have a wave of E without an accompanying wave of B. According to Maxwell's equations, a changing E field automatically produces a B field, and a changing B field automatically produces an E field.
 
Yes, it is possible to have an electric field wave with no magnetic field so long as [itex]\vec k \times \vec E = 0[/itex], i.e. the waves are longitudinal. Such will occur in plasmas (electron plasma waves, ion acoustic waves, etc.).
 
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Thanks for replying. I also found something.

http://www.cs.brown.edu/stc/outrea/greenhouse/nursery/physics/emwave.html

neat
 
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