Figure 5: Intensity as a function of observation angle for
a double-slit experiment
Eqs. 13 & 14 give the intensity as a function of angle of observation. Figure 5 shows the resulting pattern. Three aspects of the result are noteworthy.
which means simply that the path difference is an even number of
wavelengths so that the two waves arriving at are in phase,
adding together constructively. Under these conditions, the
amplitude will then be exactly double, and because the intensity goes
like the square of the amplitude, we expect 4 times the intensity,
as Eq. 13 predicts.
which simply means that the path difference is off by exactly one-half of a wavelength, so that the two waves arrive exactly out of phase, and thus cancel completely, leaving zero amplitude and zero intensity.