Why Does Diffraction Treat Every Point on an Aperture as a Point Source?

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SUMMARY

The discussion centers on the concept of diffraction and the application of Huygens' principle, which states that every point on a wavefront can be treated as a point source for subsequent wave propagation. This principle is crucial for understanding how to calculate the total field at a specific point, Z, by integrating the contributions from all points on the aperture. The integration process is essential for accurately modeling the behavior of waves as they pass through an aperture.

PREREQUISITES
  • Understanding of Huygens' principle in wave theory
  • Basic knowledge of wavefronts and point sources
  • Familiarity with integration techniques in physics
  • Concepts of diffraction and its implications in optics
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  • Study the mathematical formulation of Huygens' principle
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  • Learn about the integration of wave functions across apertures
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HomogenousCow
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I was reading about diffraction on this page http://www.thefouriertransform.com/applications/diffraction2.php

Now everything was fine up til the point where he said:

"Now, if we want to know the total field at point Z, then we need to add together every point in the aperture. That is, we need to integrate across the aperture to get the field at point Z. To get this, we'll have to know a little more physics. Specifically, the fields from a point source can be modeled as:"

As I understand it, he is treating every point on the aperture as a point source, I do not understand why this is so.

(Btw, does anyone like the username, couldn't do spherical cow so had to think of something else physicists always use to simplify problems)
 
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HomogenousCow said:
As I understand it, he is treating every point on the aperture as a point source, I do not understand why this is so.
That's essentially Huygens' principle--that each point on a wavefront can be considered as a point source for finding the subsequent position of the wave.
 

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