1 00:00:00,090 --> 00:00:02,490 The following content is provided under a Creative 2 00:00:02,490 --> 00:00:04,059 Commons license. 3 00:00:04,059 --> 00:00:06,330 Your support will help MIT OpenCourseWare 4 00:00:06,330 --> 00:00:10,690 continue to offer high-quality educational resources for free. 5 00:00:10,690 --> 00:00:13,320 To make a donation or view additional materials 6 00:00:13,320 --> 00:00:17,300 from hundreds of MIT courses, visit MIT OpenCourseWare 7 00:00:17,300 --> 00:00:19,260 at ocw.mit.edu. 8 00:00:19,260 --> 00:00:23,910 SHAOUL EZEKIEL: Now we're ready to look at two-slit diffraction 9 00:00:23,910 --> 00:00:26,010 patterns. 10 00:00:26,010 --> 00:00:30,050 What we have here is a slide. 11 00:00:30,050 --> 00:00:35,520 And on this slide, we have pairs of slits. 12 00:00:35,520 --> 00:00:40,830 The individual width of each slit is 100 microns, 13 00:00:40,830 --> 00:00:45,900 and the spacing between slits varies anywhere from 150 14 00:00:45,900 --> 00:00:49,690 microns to 2 millimeters. 15 00:00:49,690 --> 00:00:51,690 The only thing we've added to the previous setup 16 00:00:51,690 --> 00:00:56,580 is this lens in order to expand the beam so 17 00:00:56,580 --> 00:01:00,780 that we can cover both slits. 18 00:01:00,780 --> 00:01:04,379 So let's first look at the diffraction pattern 19 00:01:04,379 --> 00:01:07,410 associated with a single slit. 20 00:01:07,410 --> 00:01:10,800 Now, if we look at the screen in close-up, 21 00:01:10,800 --> 00:01:15,160 you can see we have a single-slit diffraction 22 00:01:15,160 --> 00:01:17,550 pattern. 23 00:01:17,550 --> 00:01:23,430 As before, the circles are 5 centimeter markers. 24 00:01:23,430 --> 00:01:28,050 And in addition now, we've added the little squares, the two 25 00:01:28,050 --> 00:01:29,000 squares. 26 00:01:29,000 --> 00:01:33,570 And that denotes the separation between the 0s 27 00:01:33,570 --> 00:01:36,450 of the central lobe of the single-slit diffraction 28 00:01:36,450 --> 00:01:37,740 pattern. 29 00:01:37,740 --> 00:01:42,150 Let me remind you that the spacing between the slide 30 00:01:42,150 --> 00:01:46,020 here and the screen is about 200 centimeters. 31 00:01:46,020 --> 00:01:52,630 And we're using 6,328 Angstrom light. 32 00:01:52,630 --> 00:01:55,170 So you have all the tools needed, then, 33 00:01:55,170 --> 00:01:58,510 to calculate spacings and what have you. 34 00:01:58,510 --> 00:02:04,380 So now, let's start by looking at the smallest spacing, which 35 00:02:04,380 --> 00:02:07,590 is 150 microns. 36 00:02:07,590 --> 00:02:12,270 So indeed what you see is that the single-slit diffraction 37 00:02:12,270 --> 00:02:16,890 pattern has been modified by the addition of the other lobes, 38 00:02:16,890 --> 00:02:18,870 of the smaller lobes. 39 00:02:18,870 --> 00:02:24,210 And this is for 150 micron spacing. 40 00:02:24,210 --> 00:02:27,240 Remember, each slit width is 100 microns. 41 00:02:27,240 --> 00:02:30,630 Now, let's go on and look at 175. 42 00:02:30,630 --> 00:02:34,550 Well, 175 from 150 is not much of a change. 43 00:02:34,550 --> 00:02:39,420 So we don't expect to see much narrowing of the small lobes. 44 00:02:39,420 --> 00:02:42,480 Let's go on to 200. 45 00:02:42,480 --> 00:02:45,450 Here, you're beginning to see that the lobes 46 00:02:45,450 --> 00:02:47,250 under the single-slit diffraction pattern 47 00:02:47,250 --> 00:02:48,930 are now narrower. 48 00:02:48,930 --> 00:02:53,822 And now 300 micron separation-- here it's clear. 49 00:02:53,822 --> 00:02:55,530 They're getting they're getting narrower. 50 00:02:55,530 --> 00:02:57,030 In fact, you have about five of them 51 00:02:57,030 --> 00:03:00,950 or so under the central lobe of the single-slit diffraction 52 00:03:00,950 --> 00:03:02,010 pattern. 53 00:03:02,010 --> 00:03:08,610 Now let me go on to the 2,000, or 2 millimeter spacing. 54 00:03:08,610 --> 00:03:12,630 And at first, you think there's no little 55 00:03:12,630 --> 00:03:15,030 lobes under this single-slit diffraction pattern. 56 00:03:15,030 --> 00:03:19,560 But all we have to do here is get the camera to zoom in. 57 00:03:19,560 --> 00:03:22,600 And as it zooms in, you begin to see that indeed, there 58 00:03:22,600 --> 00:03:25,290 is structure there. 59 00:03:25,290 --> 00:03:28,660 And if your calculations are correct, 60 00:03:28,660 --> 00:03:32,010 you'll be able to show what the spacing is 61 00:03:32,010 --> 00:03:37,680 for a 2-millimeter slit separation. 62 00:03:37,680 --> 00:03:41,580 Now, in the next demonstration, we're 63 00:03:41,580 --> 00:03:45,780 going to show the Frauenhofer diffraction pattern associated 64 00:03:45,780 --> 00:03:48,200 with many slits.