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Single slit interference picture 
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#1
May1614, 02:49 AM

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I'm wondering something about illustrations of single slit interference. I've seen them being illustrated in different ways. One way is this:
and another way is this: But I don't understand how these can show the same thing? In the first picture, we have light rays that are obviously NOT parallel, because they all point to a single point. But in the second picture, there are several rays that are all shown as parallel. How is that possible? The rays can't be both parallel and not parallel at the same time! And another question. In the second picture, it is shown that light is coming in horizontally from the left. Why is it then suddenly tilted with angle θ? Why doesn't it just continue horizontally into the slit? This following picture makes much more sense to me: Because here at least we see that the light will continue horizontally and the angle θ is simply to show where destructive interference will take place. But this is again different from the two other pictures. Can someone please explain how all these pictures are related and how they are meant to show the same thing? I mean none of the first two pictures make sense if we consider that the light will diffract like a point (omnidirectional) source at each point which it does according to Huygens principle, only the third picture shows that. 


#2
May1614, 02:58 AM

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This is actually written on the 1st diagram. Note: the angle shown is only one sample lightray. 


#3
May1614, 03:40 AM

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#4
May1614, 08:29 AM

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Single slit interference picture
It's puzzling that you would complain about the abrupt change in the direction of propagation of light but go on to mention Huygens principle which is the explanation for how the ray can in fact change directions. Out of the three pictures, the one you liked the most  the 3rd one  is really the only one that isn't very good since it doesn't show that neighbor rays may have different path lengths allowing for destructive interference to happen explaining the dark bands of the interference pattern.



#5
May1614, 10:03 AM

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In the end, ray optics is quite poor for describing diffraction  quite simply because ray optics inherently ignores wavelike aspects of light propagation. Wave optics expresses a far field diffraction pattern as the Fourier transform of the spatial aperture transmission  much more accurate.
Claude. 


#6
May1614, 12:17 PM

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Our best understanding is that the Laws of Classical Physics are approximations in the limits of 'large' sizes and numbers and that quantum mechanics is the correct description of the world. (of course, when we talk about even larger or faster things we need to consider Relativity). It can be a serious mistake to invoke a 'principle' from 1680 (or 1820) to 'explain' the world. Please take a look at this article:https://en.wikipedia.org/wiki/Huygen...snel_principle. None of the diagrams you posted are correct, ALL 3 are great simplifications. The concept of light RAYS should only be used for everyday optical scenaroies, not for the very small (such as a slit experiment).



#7
May1614, 12:23 PM

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#8
May1614, 10:02 PM

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The Huygen's principle is part of wave optics.
He is saying that wave optics produces results that are closer in detail than ray optics ... but the principle by itself may not be good enough for all situations. (Now we'll see if I'm right.) The reason is that the schrodinger equation (for QM) is a form of the helmholtz equation (for waves). You are going to get very similar results, although the mechanisms may differ. As the student advances, they will also meet Feynman's "sum over paths" treatment. At this level, diffraction at slits is an example of the wave behavior of light for the very reason that ray optics is not so good at predicting the details. The usual next step is to point out that objects previously thought of as classical particles also have this behavior. It's part of a journey  best not get too hung up on snags on the way. 


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