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 --> 00:00:17,280 from hundreds of MIT courses, visit MIT OpenCourseWare 7 00:00:17,280 --> 00:00:20,610 at ocw.mit.edu. 8 00:00:20,610 --> 00:00:22,110 PROFESSOR: Now, we are ready to look 9 00:00:22,110 --> 00:00:24,750 at Fraunhofer diffraction associated 10 00:00:24,750 --> 00:00:27,100 with circular apertures. 11 00:00:27,100 --> 00:00:30,430 The setup, again, is the same as before. 12 00:00:30,430 --> 00:00:32,150 But I just want to remind you of it. 13 00:00:32,150 --> 00:00:33,900 We have a helium-neon laser. 14 00:00:33,900 --> 00:00:37,980 Beam from the laser is reflected by this mirror 15 00:00:37,980 --> 00:00:41,550 and then reflected again by this mirror into this lens. 16 00:00:41,550 --> 00:00:45,040 And now we have the lens focusing the light 17 00:00:45,040 --> 00:00:47,940 onto a set of apertures. 18 00:00:47,940 --> 00:00:51,300 And then the diffraction light from the aperture 19 00:00:51,300 --> 00:00:56,820 then goes onto the screen. 20 00:00:56,820 --> 00:01:02,850 Now, these apertures have different diameters. 21 00:01:02,850 --> 00:01:05,800 Actually, they're tiny pinholes. 22 00:01:05,800 --> 00:01:10,740 So the first one we have has a 100 micron diameter. 23 00:01:10,740 --> 00:01:14,880 So, now, if we look at the screen, 24 00:01:14,880 --> 00:01:20,310 we see the diffraction pattern associated with 100 micron 25 00:01:20,310 --> 00:01:22,200 diameter aperture. 26 00:01:22,200 --> 00:01:25,620 Again, let me give you some dimensions. 27 00:01:25,620 --> 00:01:30,270 The separation between the aperture and the screen 28 00:01:30,270 --> 00:01:33,300 is about 100 centimeters, the light 29 00:01:33,300 --> 00:01:37,590 is from the helium-neon laser at 6328 angstroms, 30 00:01:37,590 --> 00:01:44,380 and the scale on the screen from here to here, 31 00:01:44,380 --> 00:01:47,940 which is the diameter of the first dark ring, 32 00:01:47,940 --> 00:01:52,530 is about 1.6 centimeters. 33 00:01:52,530 --> 00:01:56,850 So, now, you can check the diffraction pattern, 34 00:01:56,850 --> 00:02:01,770 given the information that I've just presented to you. 35 00:02:01,770 --> 00:02:03,105 At the moment, you see-- 36 00:02:06,502 --> 00:02:08,169 first of all, let me do some adjustment, 37 00:02:08,169 --> 00:02:12,520 make sure that I'm picked up. 38 00:02:12,520 --> 00:02:15,730 And what you see, you see a bright ring in the middle 39 00:02:15,730 --> 00:02:24,170 and then some faint rings around the central bright ring. 40 00:02:24,170 --> 00:02:27,370 There are actually many rings, but because they're so faint, 41 00:02:27,370 --> 00:02:28,190 you can't see them. 42 00:02:28,190 --> 00:02:32,080 So what I'm going to do is pull away this screen 43 00:02:32,080 --> 00:02:35,740 and expose to you a more sensitive screen, 44 00:02:35,740 --> 00:02:37,900 as we can see. 45 00:02:37,900 --> 00:02:40,100 Now, you see that we're saturating in the middle, 46 00:02:40,100 --> 00:02:41,740 but we're beginning to see other rings. 47 00:02:41,740 --> 00:02:44,890 Now, if we open up the camera aperture some more, 48 00:02:44,890 --> 00:02:47,620 you can see even more rings. 49 00:02:47,620 --> 00:02:50,470 And, again, all these rings, and their intensities, 50 00:02:50,470 --> 00:02:52,240 and sizes, and what have you can be 51 00:02:52,240 --> 00:02:56,770 calculated from the information that I've given you. 52 00:02:56,770 --> 00:03:00,640 So, now, this is then the Fraunhofer diffraction pattern 53 00:03:00,640 --> 00:03:03,430 associated with 100 micron aperture. 54 00:03:03,430 --> 00:03:09,580 Now, I would like to move to the next aperture, which 55 00:03:09,580 --> 00:03:16,310 is 50 microns. 56 00:03:16,310 --> 00:03:22,310 And then I'm going to do a little tweaking 57 00:03:22,310 --> 00:03:24,600 so I have it nicely picked up. 58 00:03:24,600 --> 00:03:25,100 Good. 59 00:03:25,100 --> 00:03:28,790 So, now, if we can look at it on the whole screen, 60 00:03:28,790 --> 00:03:33,680 this is then the diffraction pattern of a 50 micron 61 00:03:33,680 --> 00:03:37,940 aperture, and you can see that the size of the central fringe 62 00:03:37,940 --> 00:03:38,912 is bigger. 63 00:03:38,912 --> 00:03:41,120 And, again, from the information that I've given you, 64 00:03:41,120 --> 00:03:44,810 you should be able to calculate what it should be. 65 00:03:44,810 --> 00:03:49,700 Again, if we open up the aperture in the camera, 66 00:03:49,700 --> 00:03:55,090 maybe we can start to see a few more rings. 67 00:03:55,090 --> 00:03:57,200 And, again, the light level is smaller 68 00:03:57,200 --> 00:04:00,450 than with the previous aperture, because, again, the aperture 69 00:04:00,450 --> 00:04:05,540 is only 50 microns this time. 70 00:04:05,540 --> 00:04:10,550 Now, we've seen the Fraunhofer diffraction pattern associated 71 00:04:10,550 --> 00:04:12,530 with a rectangular aperture. 72 00:04:12,530 --> 00:04:16,730 And then, just now, we saw the diffraction associated 73 00:04:16,730 --> 00:04:19,279 with a circular aperture. 74 00:04:19,279 --> 00:04:21,630 In the next demonstration, we're going 75 00:04:21,630 --> 00:04:24,590 to show the Fraunhofer diffraction pattern associated 76 00:04:24,590 --> 00:04:28,730 with multiple slits-- with a two-dimensional array 77 00:04:28,730 --> 00:04:29,900 of multiple slits. 78 00:04:29,900 --> 00:04:33,230 So when we come back, we'll have the setup 79 00:04:33,230 --> 00:04:37,930 arranged so we can demonstrate that effect for you.