Light waves of frequency passing through a slit of width a produce a Fraunhofer diffraction pattern

Light waves of frequency λ passing through a slit of width a produce a Fraunhofer diffraction pattern of light and dark fringes (Figure 17). The intensity as a function of the angle θ is

where R = πa/λ and Im is a constant. Show that the intensity function is not defined at θ = 0. Then choose any two values for R and check numerically that I(θ) approaches I_m as θ → 0.

Transcribed Image Text:

I(0) = Im sin(R sin ) R sin 0 2