Why in Huygens–Fresnel, Point source should be as small as wavelength?

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Discussion Overview

The discussion revolves around the Huygens–Fresnel principle and the implications of defining point sources in the context of simulating diffraction patterns. Participants explore the relationship between the size of point sources and the wavelength of light, particularly in the context of computational simulations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions why point sources in the Huygens–Fresnel principle should be as small as the wavelength used in simulations.
  • Another participant suggests that larger sources would be considered extended sources, which could affect simulation results, and proposes using a size slightly smaller than the wavelength for practical reasons.
  • There is a query about the definition of a point source, with one participant stating that a point source is significantly smaller than the wavelength, while another points out that a point, by definition, has zero size.
  • A later reply discusses the possibility of replacing an infinite number of point sources with a finite number of extended sources, suggesting that as long as their sizes are comparable to the wavelength, the simulation might yield viable results.

Areas of Agreement / Disagreement

Participants express differing views on the definition and implications of point sources versus extended sources, indicating that there is no consensus on the optimal size for point sources in the context of the simulation.

Contextual Notes

The discussion includes assumptions about the nature of point sources and their role in simulations, as well as the potential limitations of defining point sources in terms of size relative to wavelength.

payam
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In Huygens–Fresnel principle, to configure the diffraction pattern after an aperture, we need to consider each point on aperture as a point source of light.
I need to make a simulation for diffraction. Here I will need to introduce the size of each point source.
my question is why the size of these point sources should be as large as the used wavelength ?
 
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Because if they were any larger they would be extended sources - not point sources - affecting the results, and if they were smaller your simulation would take longer than necessary to run. I would use a size a bit smaller to be on the safe side. A quarter wavelength seems appropriate.
 
Thanks Dauto.
So there is a definition for point source in terms of angular divergence?
what is the definition of a point source?
 
payam said:
Thanks Dauto.
So there is a definition for point source in terms of angular divergence?
what is the definition of a point source?

A point source is a source significantly smaller than the wavelength of the radiation being emitted. Otherwise it is an extended source.
 
payam said:
Here I will need to introduce the size of each point source.

:confused: By definition, a point has zero size, doesn't it?
 
jtbell said:
:confused: By definition, a point has zero size, doesn't it?

Yes, it does, but (s)he is talking about some kind of simulation. It's not exactly clear how the simulation works but it is conceivable that an infinite number of point sources could be replaced with a finite number of extended sources and as long as the sizes are comparable to the wavelength or smaller the simulation might produce viable results. Again, not knowing exactly how the simulation is supposed to work, I'm going out on a limb trying to make sense of it. May be the OP should explain the simulation better?
 

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