Double slit interference from antenna

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Discussion Overview

The discussion revolves around the interference pattern produced by electromagnetic radiation from an antenna when passed through a double slit apparatus. Participants explore the implications of this scenario from both classical electromagnetism and quantum perspectives.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant suggests that the interference pattern would only show two regions of destructive interference, questioning if this is correct given the implications of the Feynman path integral formulation.
  • Another participant argues that the interference pattern would resemble that of any other source, such as visible light or water waves, implying a more complex pattern than just two regions.
  • A further comment reiterates the belief that the pattern would be similar to other sources, emphasizing that the number of regions of destructive interference depends on the number of crests and troughs present in the wave.
  • One participant clarifies that a single pulse of electromagnetic radiation consists of a superposition of plane waves with various frequencies, leading to multiple crests and troughs, which would affect the interference pattern.
  • Another participant reinforces the need to understand classical electromagnetism before addressing the quantum aspects of the problem.

Areas of Agreement / Disagreement

Participants express differing views on the expected interference pattern, with some believing it would be simple and others asserting it would be more complex. The discussion remains unresolved regarding the exact nature of the interference pattern.

Contextual Notes

The discussion includes assumptions about the behavior of electromagnetic radiation and the interpretation of interference patterns, which may depend on definitions and the treatment of classical versus quantum mechanics.

Danyon
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Consider the situation where the electrons in an antenna accelerate from the top of the antenna to the bottom of the antenna once, what would the interference pattern look like if the electromagnetic radiation from the antenna were passed through a double slit apparatus of an appropriate size? I imagine there would only be two deconstructive interferences in the interference pattern, is this wrong? The feynman path integral formulation seems to imply there would be more.
 
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I believe it would look identical to the double slit pattern from any other source, be it visible light, electrons, or water waves.
 
Drakkith said:
I believe it would look identical to the double slit pattern from any other source, be it visible light, electrons, or water waves.
The number of regions that interfere deconstructively depends on how many crests and troughs there are, for my described scenario there should be one trough followed by one crest, which should result in only two regions which interfere deconstructively. Feynman's path integrals only seem to work with waves that have multiple crests and troughs
 
A single pulse of electromagnetic radiation is a superposition of plane waves of various frequencies, so you have multiple crests and troughs here; you do the sum across all frequencies on all paths to get the final amplitude.

You need to be able to work this problem using classical E&M before you can take on the quantum version.
 
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Nugatory said:
A single pulse of electromagnetic radiation is a superposition of plane waves of various frequencies, so you have multiple crests and troughs here; you do the sum across all frequencies on all paths to get the final amplitude.

You need to be able to work this problem using classical E&M before you can take on the quantum version.
I see, thankyou.
 

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