Diffraction and Interference Combined. Consider the interference pattern produced by two parallel slits of width a and separation d, in which d = 3a. The slits are illuminated by normally incident light of wavelength ?.
(a) First we ignore diffraction effects due to the slit width. At what angles ? from the central maximum will the next four maxima in the two-slit interference pattern occur? Your answer will be in terms of d and ?.
(b) Now we include the effects of diffraction. If the intensity at ? = 0 is I0, what is the intensity at each of the angles in part (a)?
(c) Which double-slit interference rnaxima are missing in the pattern?
(d) Compare your results to those illustrated in Fig. 36.12c. In what ways is your result different?
(a) First we ignore diffraction effects due to the slit width. At what angles ? from the central maximum will the next four maxima in the two-slit interference pattern occur? Your answer will be in terms of d and ?.
(b) Now we include the effects of diffraction. If the intensity at ? = 0 is I0, what is the intensity at each of the angles in part (a)?
(c) Which double-slit interference rnaxima are missing in the pattern?
(d) Compare your results to those illustrated in Fig. 36.12c. In what ways is your result different?
