The intensity pattern formed by a diffraction grating of N slits is where θ is the...

The intensity pattern formed by a diffraction grating of N slits is

where θ is the angle of diffraction. The radiation reaches the grating at normal incidence.

Using the formula above and m = 0, ±1, ±2 ... and p = an integer ≠ mN

show that
- the interference maxima occur for β = mπ
- and minima occur for β = pπ/N .
show that the orders m=pd/a (of interference) are missing if d/a is an integer .

Expert Solution

genius_generous answered 1 year ago

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