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Diffraction and intensity of fringes 
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#1
Feb2413, 03:17 PM

P: 77

I'm not sure if I've understood my textbook correctly. Can you tell me if my current understanding is correct:
 in a single slit diffraction theres a wide central fringe which is twice as wide as all the other outer fringes  if we had a double slit diffraction instead of a single slit, we would see fringes within the area that would've been occupied by the wide central fringe Below is a diagram in my textbook showing intensity distribution of young's fringes, I don't really understand it. Is the blue line supposed to represent the fringes of a single slit diffraction, and the solid red line is representing the fringes of a double slit? I also don't understand at all what the dashed lines in the background are about (btw this is all high school level physics) 


#2
Feb2413, 05:00 PM

PF Gold
P: 936

Your understanding is correct. I think your textbook diagram is confusing, and partly wrong. I'll explain.
I think the dotted red line is supposed to represent a two source pattern with no superimposed diffraction effects. It is wrong because (1) it omits the central fringe (2) it makes the bright fringes too sharp. The intensity should follow a 'cos squared' graph, which is sinusoidal in shape. This implies that at midintensity (halfway up the vertical axis) the widths of bright and dark fringes should be equal. They don't seem to be. The red solid line is the single slit diffraction pattern for a slit with a width of 2s, in which s is the distance between the slit centres used for the two slit graph. I find this confusing, because slits of this width couldn't have a separation s between their centres without merging into one wide slit. I suppose that the diagram makes no claim that the red dotted line and the red solid line should apply to the same setup, but I'd rather they did. The blue line is the single slit diffraction pattern for a slit with a width of (2/3)s. I've no quarrel with this: two slits of this width, with centres separated by s, would not merge, and could be used to produce Young's fringes, but there seems to be no graph which shows the 'modulation' of the Young's fringes by the diffraction 'envelope'. 


#3
Feb2413, 07:02 PM

P: 77

because thats what it appears me. There are three fringes from that solid red line occupying the space inside a wide central fringe (from the blue line) 


#4
Feb2513, 06:23 AM

PF Gold
P: 936

Diffraction and intensity of fringes
What I said about the red solid line in my earlier post was wrong. It is supposed to represent the two source (red dotted) pattern 'modulated' by the blue single slit pattern. Sorry.
"a two source pattern with no superimposed diffraction effects": this is what you'd get if the slits were much smaller than a wavelength in width, and so radiated equally in all 'forward' directions, up to 90° either side of the normal. 


#5
Feb2513, 11:46 AM

P: 77

so what is the reason why the intensity of fringes normally peak at the centre and then decrease further outwards? and also I've just found these two diagrams on the web: is this correct: the first diagram shows diffraction fringes the second diagram shows both diffraction AND interference fringes 


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