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 --> 00:00:17,270 from hundreds of MIT courses, visit MIT OpenCourseWare 7 00:00:17,270 --> 00:00:20,904 at ocw.mit.edu. 8 00:00:20,904 --> 00:00:23,910 PROFESSOR: In the next set of demonstrations, 9 00:00:23,910 --> 00:00:26,070 we're going to illustrate some of the very 10 00:00:26,070 --> 00:00:31,320 classic phenomena associated with the diffraction of light. 11 00:00:31,320 --> 00:00:35,970 I hope that there will be educational but also a lot 12 00:00:35,970 --> 00:00:39,240 of fun to see these effects. 13 00:00:39,240 --> 00:00:43,530 We'll start first with the Fraunhofer diffraction, 14 00:00:43,530 --> 00:00:46,570 both in one dimension and two dimensions. 15 00:00:46,570 --> 00:00:49,380 And then we'll go to Fresnel diffraction. 16 00:00:49,380 --> 00:00:53,610 So let's start first with Fraunhofer diffraction 17 00:00:53,610 --> 00:00:55,710 associated with a single slit. 18 00:00:55,710 --> 00:01:00,930 The setup is, over here we have helium-neon laser, 19 00:01:00,930 --> 00:01:03,300 and here is the beam from the laser. 20 00:01:03,300 --> 00:01:06,630 We reflect it by this mirror here, 21 00:01:06,630 --> 00:01:13,290 and then we reflect it again by this mirror here onto the slit. 22 00:01:13,290 --> 00:01:17,940 This slit is an adjustable slit. 23 00:01:17,940 --> 00:01:20,450 By turning this knob here, I can adjust the slit. 24 00:01:20,450 --> 00:01:23,070 But in order to see that indeed this is a slit, 25 00:01:23,070 --> 00:01:27,930 I'm going to put a screen over here, 26 00:01:27,930 --> 00:01:33,240 so that when I adjust the jaws of the slit here, 27 00:01:33,240 --> 00:01:36,420 you can see that, indeed, I am varying 28 00:01:36,420 --> 00:01:38,920 the spacing between the jaws. 29 00:01:38,920 --> 00:01:42,210 Of course, when it gets very small, it's difficult to see. 30 00:01:42,210 --> 00:01:45,120 So here's our adjustable slit, and here's the laser beam 31 00:01:45,120 --> 00:01:46,440 going through the slit. 32 00:01:46,440 --> 00:01:49,020 And then the diffracted light then 33 00:01:49,020 --> 00:01:52,110 falls on the screen over there, which 34 00:01:52,110 --> 00:01:57,670 is about 200 centimeters from the slit. 35 00:01:57,670 --> 00:02:01,420 So, now, we're ready to look at the diffraction pattern. 36 00:02:01,420 --> 00:02:06,070 So if we have a close-up then of the screen, 37 00:02:06,070 --> 00:02:10,500 we see the diffraction pattern for the slit separation 38 00:02:10,500 --> 00:02:13,770 that I have over here. 39 00:02:13,770 --> 00:02:18,000 Now, the wavelength of the light, 40 00:02:18,000 --> 00:02:22,140 that of the helium-neon laser 6328 angstroms-- 41 00:02:22,140 --> 00:02:24,270 so I gave you the separation between the slit 42 00:02:24,270 --> 00:02:26,280 and the screen, which is 200 centimeters, 43 00:02:26,280 --> 00:02:30,780 so now you should be able to calculate the slit width 44 00:02:30,780 --> 00:02:33,660 from the diffraction pattern. 45 00:02:33,660 --> 00:02:36,450 Now, to help you do this calculation, 46 00:02:36,450 --> 00:02:40,830 we have, on the screen, markers. 47 00:02:40,830 --> 00:02:45,338 And the separation between these markers is 5 centimeters. 48 00:02:45,338 --> 00:02:47,380 So there are 5 centimeters markers on the screen. 49 00:02:47,380 --> 00:02:52,590 So now you have all the tools to calculate the slit width as I 50 00:02:52,590 --> 00:02:55,530 adjust the slit separation. 51 00:02:55,530 --> 00:03:00,450 So let me start with a very narrow slit 52 00:03:00,450 --> 00:03:03,840 where the central lobe is-- 53 00:03:03,840 --> 00:03:07,000 you can make it almost 5 centimeters or so. 54 00:03:07,000 --> 00:03:09,270 And you see the other lobes, the weaker one. 55 00:03:09,270 --> 00:03:11,440 And maybe if we can overexpose a little bit, 56 00:03:11,440 --> 00:03:17,385 we can see that, indeed, there are lots of lobes. 57 00:03:21,990 --> 00:03:24,900 But if we expose for all of them, 58 00:03:24,900 --> 00:03:28,490 then the central one is going to get way overexposed. 59 00:03:28,490 --> 00:03:32,790 So, in general, we'll be looking just at a few of them. 60 00:03:32,790 --> 00:03:35,460 So, now, let's go back to where we were before. 61 00:03:35,460 --> 00:03:40,080 And then we'll start again at a slit width 62 00:03:40,080 --> 00:03:45,300 so that the central lobe is about a few centimeters wide. 63 00:03:45,300 --> 00:03:49,530 And then I will now make the spacing-- 64 00:03:49,530 --> 00:03:53,240 whoops-- wider. 65 00:03:53,240 --> 00:03:57,920 And you can see the central lobe now 66 00:03:57,920 --> 00:04:00,810 will get smaller and smaller. 67 00:04:06,100 --> 00:04:10,650 And now, you can even see the spacing between the jaws. 68 00:04:10,650 --> 00:04:11,990 And here we are. 69 00:04:15,150 --> 00:04:16,941 You can see it gets-- 70 00:04:16,941 --> 00:04:19,079 the intensity is so high in the central lobe, 71 00:04:19,079 --> 00:04:21,089 that we are saturating. 72 00:04:21,089 --> 00:04:25,350 But I think this is a pretty good illustration 73 00:04:25,350 --> 00:04:32,460 of the Fraunhofer diffraction pattern of a single slit. 74 00:04:32,460 --> 00:04:36,270 Now that we've seen Fraunhofer diffraction pattern associated 75 00:04:36,270 --> 00:04:40,050 with a single slit, we're going to make life a little bit more 76 00:04:40,050 --> 00:04:40,780 complicated. 77 00:04:40,780 --> 00:04:42,630 We're going to look at the diffraction 78 00:04:42,630 --> 00:04:44,810 pattern of two slits.