Question

Diffraction and Interference Combined. Consider the interference pattern produced by two parallel slits of width $a$ and separation $d,$ in which $d=3 a$ . The slits are illuminated by normally incident light of wavelength $\lambda$ . (a) First we ignore diffraction effects due to the slit width. At what angles $\theta$ 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 $\lambda .$ (b) Now we include the effects of diffraction. If the intensity at $\theta=0$ is $I_{0}$ , what is the intensity at each of the angles in part (a)? (c) Which double-slit interference maxima are missing in the pattern? (d) Compare your results to those illustrated in Fig. 36.12 $\mathrm{c}$ . In what ways is your result different?

          Diffraction and Interference Combined. Consider the interference pattern produced by two parallel slits of width $a$ and separation $d,$ in which $d=3 a$ . The slits are illuminated by normally incident light of wavelength $\lambda$ . (a) First we ignore diffraction effects due to the slit width. At what angles $\theta$ 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 $\lambda .$ (b) Now we include the effects of diffraction. If the intensity at $\theta=0$ is $I_{0}$ , what is the intensity at each of the angles in part (a)? (c) Which double-slit interference maxima are missing in the pattern? (d) Compare your results to those illustrated in Fig. 36.12 $\mathrm{c}$ . In what ways is your result different?

Added by Rachel L.

Question

Please give Ace some feedback