Question

4. Light of wavelength 580nm is incident on 2 identical parallel slits separated by distance (between centers) of 0.53 mm. (i) If the slits are narrow (infinitely thin), what are the angular positions (0) of the first order (m- 1) and second order (m-2), "two slit interference" maxima? (ii) If the slits are no longer considered infinitely thin, but have width 0.32 mm, what is the intensity at each of the angular positions obtained in part (i)? You should express your answers in terms of the intensity I at the center of the central maximum Hint: Intensity of interference pattern as a function of 0, for 2 infinitely thin slits is: , where, and d is distance between centers of the slits. This pattern readily yields the constructive interference condition for angle 0 as:. If the slits may no longer be considered as infinitely thin, but have some width, the diffraction pattern from each of the slits must then be used to modulate the above diffraction pattern modulation involves the product of the above interference pattern, and the diffraction pattern of one of the slits. The diffraction pattern from a single slit of width "a" is where. Hence the int slits can be written as: n(i) 0.063°, 0.552°, (ii) 0.34410 0.0 1310 B) (i) 0.076", 0.125°, (ii) 0.1 1 110 0.1 02/0. C) (i) 0.063°, 0.125°, (ii) 0.24910 0.026/0 D)(İ) 0.1 220, 0.1250, (ii) 0.25%, 0.02610

Answer 1

dsmoつ以 0-53710 1.90 s