Interference pattern calculations for unequal slits per QM theoryby San K Tags: calculations, interference, pattern, slits, theory, unequal 

#1
Feb1413, 10:16 AM

P: 915

I am trying to understand how QM theory (wavefunctions) are applied to Interference pattern calculations for unequal slits for a single particle double slit experiment
case 1: both slits are equidistant from the "center", however one slit is bigger and the ratio of the width between the slits is say 80:20 case 1: equidistant but different slit width ________________________________________________________ case 2: both the slits are equal width however one slit is father away from the slit than the other and the ratio of the distances from the center is in the ratio of say 80:20 case 2: same width of slits but not equidistant how would we go calculating/prediction the interference pattern per QM (wavefunction)? ______________________________________________________________ for case 1: would we assume (per QM theory) that 20% of the wave function passes through the narrower slit and 80% of the wavefunction passed through the wider slit? ......and then interferes? for case 2: what do we have to assume for the wavefunction? 



#2
Feb1413, 01:28 PM

Sci Advisor
Thanks
P: 3,853

Would you be able to calculate the interference pattern if it were some other kind of wave? Sound waves, or light waves? All such problems have a common approach: Huyghens principle.
For each possible path calculate the amplitude and phase, then add them all up. 



#3
Feb1513, 10:44 AM

P: 915





#4
Feb1913, 08:19 AM

P: 12

Interference pattern calculations for unequal slits per QM theory
I just acquired a new (to me) HENE laser and tried to create the pattern as described in Case 1. IMG_0096.JPG is a normal double slit, .35mm center with two .15mm slits. For image IMG_0097.JPG, I changed the slits to .1mm on the left and .4mm on the right. I will try to get better images when I have the time but there does seem to be a difference between the two sides.




#5
Feb1913, 12:22 PM

P: 915




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