To illustrate one of the ideas of holography in a simple way, consider a diffrac

Question

To illustrate one of the ideas of holography in a simple way, consider a diffraction grating with slit spacing d. The small-angle approximation is usually not valid for diffraction gratings, because d is only slightly larger than , but assume that the /d ratio of this grating is small enough to make the small-angle approximation valid.

(a) Use the small-angle approximation to find an expression for the fringe spacing on a screen at distance L behind the grating. (Use any variable or symbol stated above as necessary.)

y = _________

Explanation / Answer

Start with the formula for a diffraction grating

dsin = m

sin for small angle approximations will by y/L

m between two spacings will by 1

so by substitution

dy/L =

y = L/d

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