1 00:00:00,090 --> 00:00:02,490 The following content is provided under a Creative 2 00:00:02,490 --> 00:00:04,030 Commons license. 3 00:00:04,030 --> 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 --> 00:00:17,260 from hundreds of MIT courses, visit MIT OpenCourseWare 7 00:00:17,260 --> 00:00:18,450 at ocw.mit.edu. 8 00:00:21,990 --> 00:00:24,040 SHAOUL EZEKIEL: In this demonstration, 9 00:00:24,040 --> 00:00:27,750 we're going to determine what the state of polarization 10 00:00:27,750 --> 00:00:30,000 of this laser is. 11 00:00:30,000 --> 00:00:33,160 This laser is a helium neon laser. 12 00:00:33,160 --> 00:00:37,590 It's a little bit more powerful than the normal ones 13 00:00:37,590 --> 00:00:41,670 we see, for example, in supermarket checkout counters. 14 00:00:41,670 --> 00:00:47,940 The light coming out is about 35 milliwatts. 15 00:00:47,940 --> 00:00:54,050 And you can see the beam here along this path. 16 00:00:54,050 --> 00:00:57,720 We're going to analyze the state of polarization of the laser 17 00:00:57,720 --> 00:01:01,170 with this polarizer. 18 00:01:01,170 --> 00:01:05,370 And the light transmitted through the polarizer, 19 00:01:05,370 --> 00:01:10,530 as you can see here, will be reflected by this mirror 20 00:01:10,530 --> 00:01:14,100 and then will be reflected again by this mirror. 21 00:01:14,100 --> 00:01:18,430 And then we let the spot hit the screen. 22 00:01:18,430 --> 00:01:22,200 So then the purpose of this test is 23 00:01:22,200 --> 00:01:28,510 to rotate the plane of polarization 24 00:01:28,510 --> 00:01:31,530 or the transmission axis of the polarizer 25 00:01:31,530 --> 00:01:37,260 to find out whether the polarization of the laser light 26 00:01:37,260 --> 00:01:40,960 is indeed plane-polarized or not. 27 00:01:40,960 --> 00:01:46,140 So now, while we look at the spot on the screen, 28 00:01:46,140 --> 00:01:51,390 let me start rotating the plane of polarization 29 00:01:51,390 --> 00:01:55,380 of the polarizer or the transmission axis, if you want, 30 00:01:55,380 --> 00:01:56,640 of the polarizer. 31 00:01:56,640 --> 00:01:59,670 And we start in the vertical position. 32 00:01:59,670 --> 00:02:02,850 And then we'll start rotating as we 33 00:02:02,850 --> 00:02:06,720 observe the spot on the screen. 34 00:02:06,720 --> 00:02:12,660 As you can see, the intensity gets weaker and weaker 35 00:02:12,660 --> 00:02:16,200 until it is-- 36 00:02:16,200 --> 00:02:20,430 if you watch carefully, until it's completely extinguished. 37 00:02:20,430 --> 00:02:24,780 And here, you notice that the arrow is about 90 degrees away 38 00:02:24,780 --> 00:02:28,060 from where we started out. 39 00:02:28,060 --> 00:02:31,530 And this shows-- let's do it again. 40 00:02:31,530 --> 00:02:34,200 We can go here to the vertical position-- 41 00:02:34,200 --> 00:02:36,110 lot of light coming out. 42 00:02:36,110 --> 00:02:40,980 And now we go to the horizontal position 43 00:02:40,980 --> 00:02:42,585 and extinguish the light. 44 00:02:46,330 --> 00:02:50,350 At least to the eye, it looks pretty much complete, 45 00:02:50,350 --> 00:02:56,530 which shows that the state of polarization of this laser 46 00:02:56,530 --> 00:02:58,780 is plane-polarized. 47 00:02:58,780 --> 00:03:02,110 And the axis or the plane of polarization 48 00:03:02,110 --> 00:03:05,350 is indeed established by the transmission axis 49 00:03:05,350 --> 00:03:08,950 of the polarizer, which is, in this case-- is shown to be 50 00:03:08,950 --> 00:03:12,460 vertical by the vertical arrow. 51 00:03:15,550 --> 00:03:19,300 Some of you may have noticed on the screen 52 00:03:19,300 --> 00:03:23,660 a secondary weak spot near the main one 53 00:03:23,660 --> 00:03:26,390 and probably wondered where it's coming from. 54 00:03:26,390 --> 00:03:28,360 It's not coming from the laser. 55 00:03:28,360 --> 00:03:33,480 And you can show that by rotating the polarizer. 56 00:03:33,480 --> 00:03:37,020 And you see that indeed, the spot rotates 57 00:03:37,020 --> 00:03:40,180 with the polarizer, which is-- 58 00:03:40,180 --> 00:03:44,560 which means that it's probably coming from internal reflection 59 00:03:44,560 --> 00:03:45,970 within the polarizer. 60 00:03:45,970 --> 00:03:50,300 So it's nothing to be concerned about. 61 00:03:50,300 --> 00:03:54,500 Spot on the screen is not very clean-looking. 62 00:03:54,500 --> 00:03:56,750 And there's a lot of fuzz and fringes 63 00:03:56,750 --> 00:03:57,980 and what have you around-- 64 00:03:57,980 --> 00:04:00,230 surrounding the spot. 65 00:04:00,230 --> 00:04:03,990 Again, this is not inherent to the laser. 66 00:04:03,990 --> 00:04:07,910 This is due to the fact that the laser beam 67 00:04:07,910 --> 00:04:12,050 had to go through some optics, like the output 68 00:04:12,050 --> 00:04:15,470 mirror of the laser, the polarizer, the two mirrors. 69 00:04:15,470 --> 00:04:18,709 And that's where you're getting the corruption. 70 00:04:18,709 --> 00:04:21,089 We can easily clean that up with a technique 71 00:04:21,089 --> 00:04:24,560 called spatial filtering, which we will demonstrate later. 72 00:04:27,140 --> 00:04:30,980 Now, I'd like to show how easily one 73 00:04:30,980 --> 00:04:36,190 can corrupt the plane of polarization of laser light. 74 00:04:36,190 --> 00:04:41,420 And what I'm going to do here is take this polarizer out 75 00:04:41,420 --> 00:04:48,260 from here, let the laser beam hit this mirror 76 00:04:48,260 --> 00:04:50,180 and hit the second mirror, and let 77 00:04:50,180 --> 00:04:53,360 the spot go onto the screen. 78 00:04:53,360 --> 00:04:59,390 And now I would like to analyze the state of polarization 79 00:04:59,390 --> 00:05:04,010 not as I did before, close to the laser, but over here 80 00:05:04,010 --> 00:05:07,250 after the two reflections. 81 00:05:10,760 --> 00:05:13,380 And again, if the state of polarization 82 00:05:13,380 --> 00:05:16,230 has not been corrupted by the reflection 83 00:05:16,230 --> 00:05:18,030 through these two mirrors, then we 84 00:05:18,030 --> 00:05:22,380 would be able to extinguish the laser beam as it 85 00:05:22,380 --> 00:05:24,900 goes through the polarizer. 86 00:05:24,900 --> 00:05:28,920 So let's see now as we look at the spot on the screen 87 00:05:28,920 --> 00:05:31,830 and then I rotate the transmission 88 00:05:31,830 --> 00:05:33,720 axis of the polarizer-- let's see if we 89 00:05:33,720 --> 00:05:37,660 can extinguish the laser beam. 90 00:05:37,660 --> 00:05:39,510 So I keep turning now, getting close 91 00:05:39,510 --> 00:05:42,570 to the orthogonal position. 92 00:05:42,570 --> 00:05:45,140 And you'll see that I go through a minimum. 93 00:05:45,140 --> 00:05:51,540 And I cannot extinguish it the way I could in the previous-- 94 00:05:51,540 --> 00:05:54,480 when the polarizer was close to the laser. 95 00:05:54,480 --> 00:05:56,580 So what this shows-- 96 00:05:56,580 --> 00:06:04,890 that it's very easy to corrupt the polarization of the laser. 97 00:06:04,890 --> 00:06:09,210 So it means that if we go through many components, 98 00:06:09,210 --> 00:06:13,380 we have to then place a polarizer, like this one, 99 00:06:13,380 --> 00:06:16,260 to establish the state of polarization 100 00:06:16,260 --> 00:06:18,390 after going through all these components. 101 00:06:18,390 --> 00:06:21,900 And the state of polarization will be established then 102 00:06:21,900 --> 00:06:23,430 by this polarizer. 103 00:06:23,430 --> 00:06:26,850 Now, just to make sure that indeed we 104 00:06:26,850 --> 00:06:32,970 do have perfectly polarized light, plane-polarized light, 105 00:06:32,970 --> 00:06:37,843 what I'm going to do is analyze now 106 00:06:37,843 --> 00:06:39,510 the polarization of the light coming out 107 00:06:39,510 --> 00:06:45,660 of this polarizer by means of a-- yet another polarizer, 108 00:06:45,660 --> 00:06:48,330 which, again, used as a polarization analyzer-- 109 00:06:48,330 --> 00:06:51,980 and you can see the arrow here, again, 110 00:06:51,980 --> 00:06:55,860 is along the transmission axis of the polarizer. 111 00:06:55,860 --> 00:06:59,940 And if I now rotate the transmission 112 00:06:59,940 --> 00:07:01,710 axis of the polarizer-- 113 00:07:01,710 --> 00:07:07,830 and then we'll see whether I can extinguish the light coming 114 00:07:07,830 --> 00:07:09,960 through this polarizer. 115 00:07:09,960 --> 00:07:14,460 And as you can see, I can extinguish it now 116 00:07:14,460 --> 00:07:19,140 because it's been established by this polarizer. 117 00:07:19,140 --> 00:07:25,500 So the conclusion of all this is that if laser light, 118 00:07:25,500 --> 00:07:28,350 plane-polarized laser light, is passed 119 00:07:28,350 --> 00:07:33,270 through many optical components, the polarization 120 00:07:33,270 --> 00:07:35,460 or the state of polarization will be corrupted. 121 00:07:35,460 --> 00:07:38,190 And therefore, we have to use another polarizer 122 00:07:38,190 --> 00:07:42,500 to re-establish the state of polarization.