Two diffraction gratings one on top of the other

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SUMMARY

The discussion focuses on calculating the equivalent grating of two diffraction gratings, A and B, with vertically aligned slits, where A has S1 slits and B has S2 slits. The key equation used is N* = 1/d, where N* represents the new equivalent grating. The user explores scenarios where the ratio of distances between slits (d1 and d2) varies, specifically considering ratios of 3/2 and 5/3, to determine the implications for the new grating's characteristics.

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  • Understanding of diffraction gratings and their properties
  • Familiarity with the equation N* = 1/d
  • Knowledge of slit spacing and its impact on diffraction patterns
  • Basic grasp of ratios and their mathematical implications
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Homework Statement



Two diffraction gratings are stuck together, both with vertically aligned slits. Grating A has S1 slits and B has S2 slits.
What is the new equivalent grating that is the product of two of the diffraction gratings above?

(s1>s2>>>1)

Homework Equations



a. N* = 1/d



The Attempt at a Solution



Assuming that there are ajacent slits in both - I tried to think of a way that it will make sense.
If s1>s2 , s1 should be a multiple of s2, but I couldn't figure out a way to come to the new grating equivalent.
 
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Suppose d1 and d2 are the distances between consecutive slits for the gratings. What if the ratio of d2/d1 happens to reduce to 3/2? What would be the answer to the question? How about if the ratio reduces to 5/3?
 

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