Hugen's Principle Explained: A Beginner's Guide

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Discussion Overview

The discussion centers on Huygens' principle, exploring its conceptual understanding, applications in wave propagation, and its limitations. Participants express varying levels of comprehension and relevance of the principle, particularly in the context of sound waves and diffraction theory.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant seeks clarification on Huygens' principle, indicating confusion about its practical implications.
  • Another explains that Huygens' principle posits that any point on a wavefront can act as a new point source of waves, leading to the propagation of the wave through interference of secondary wavelets.
  • A participant questions the applicability of Huygens' principle to sound waves in solids, suggesting a potential limitation of the principle.
  • Another participant expresses skepticism about the usefulness of Huygens' principle, feeling it oversimplifies the concept of a wave.
  • One participant notes that Huygens' principle is integral to deriving the relationship between the Fourier transform of an aperture function and its far-field diffraction pattern, emphasizing its role in diffraction theory.
  • It is mentioned that Huygens' principle is not entirely accurate, as it does not account for evanescent waves, and a more rigorous interpretation involves considering waves as a sum of infinite plane waves with varying amplitudes.

Areas of Agreement / Disagreement

Participants express differing views on the clarity and utility of Huygens' principle, with some acknowledging its role in theoretical applications while others question its relevance and accuracy. The discussion remains unresolved regarding the principle's practical significance and limitations.

Contextual Notes

Participants highlight limitations in understanding and applicability, including the potential oversimplification of wave behavior and the exclusion of certain wave phenomena like evanescent waves.

pardesi
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can someone explain that i really don't make any real sense or use out of it
 
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Hugyen's principle just says that any point on a wavefront can be thought of as a new point source of waves. Thus along a wavefront there are an infinite number of points all emitting sphereical waves. The interference from these secondary wavelets constructs a new wave front ahead of the first, and so on, allowing the wave to propagate through space. Ofcourse this does not really happen, it is just a way to model the situation, one drawback of this theory is that the point sources emit waves radially and so some of the waves are directed in the opposite direction to wave propagtaion, causing interference. So as you can see it is only an idea, not a reality.
 
Retsam said:
not a reality.

Not even for the case of, say, sound waves through a solid?
 
yes i got that part but is there any point in 'using' it.I really don't get the crunch of the situation and rather feel it narrows down the meaning of a wave.
 
Huygens' principle is used in the derivation that relates the Fourier transform of an aperture function to its far-field diffraction pattern, so to gain a full appreciation of how Huygens' principle fits into diffraction theory - and not just as a hand-waving argument, I suggest looking up this derivation and seeing how Huygens' principle forms a crucial step.

Huygens' principle however is not 100% accurate (as it does not predict the existence of evanescent waves for example). A more rigorous version of Huygens' principle regards a wave as the sum of a series of infinite plane waves with varying amplitudes, with each plane wave possessing a single propagation constant (much the same way a sine wave possesses a single frequency).

Claude.
 

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