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PRACTICE / Diffraction gratings

Use the period, then check the envelope

A transmission grating has slit centre spacing d = 2.40 μm and individual slit width a = 0.80 μm. Light is normally incident. The ideal single-slit minima obey a sinθ = pλ, while array maxima obey d sinθ = mλ.

What is the lowest positive array order that coincides with a single-slit minimum, assuming that direction is accessible?

Organize the givens & assumptions
  • d = 2.40 μm
  • a = 0.80 μm
  • p and m are positive integers

Uniform rectangular slits and Fraunhofer diffraction; compare ideal geometric conditions; the specified coincident direction is accessible.

  1. A33
  2. B11
  3. C22
  4. D00

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