Electromagnetic Wave in the Y-Direction

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SUMMARY

The discussion centers on the equation for an electromagnetic wave, specifically Ey = Eocos(kx - wt + phi). It establishes that the intensity of the electric field extends infinitely in the y-direction, which is characteristic of plane waves propagating in the x-direction. This idealization is applicable in scenarios where the plane wave's width significantly exceeds the dimensions of the detector, ensuring a constant amplitude across it. The conversation highlights the practical utility of this model in electromagnetic theory.

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  • Understanding of electromagnetic wave equations
  • Familiarity with the concepts of plane waves
  • Knowledge of wave propagation in physics
  • Basic grasp of amplitude and intensity in wave mechanics
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  • Explore the implications of wave propagation in different dimensions
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Students and professionals in physics, particularly those focusing on electromagnetism, wave mechanics, and anyone involved in experimental physics related to wave detection and measurement.

Fascheue
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A common equation for an electromagnetic wave is Ey = Eocos(kx - wt + phi). According to this equation, wouldn’t the intensity of the electric field extend indefinitely in the y-direction? How does this make sense?
 
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That's a plane wave moving in the ##x## direction, and extends infinitely in the ##y## and ##z## directions, yes, assuming ##E_0## is a constant. It's an idealisation, but it's useful in the (common) circumstance where a plane wave is much, much wider than your detector and has constant amplitude across your detector.
 
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