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 --> 00:00:18,190 at ocw.mit.edu. 8 00:00:21,120 --> 00:00:24,330 PROFESSOR: Now, I'm going to show another way of reducing 9 00:00:24,330 --> 00:00:26,100 fringe contrast. 10 00:00:26,100 --> 00:00:29,640 This one has to do with the polarization of the light 11 00:00:29,640 --> 00:00:32,549 coming out from each arm of the interferometer. 12 00:00:32,549 --> 00:00:35,250 The setup is the same as we had before, 13 00:00:35,250 --> 00:00:38,190 except that I've added a polarizer here 14 00:00:38,190 --> 00:00:40,980 to clean up the polarization before we 15 00:00:40,980 --> 00:00:44,490 enter the interferometer. 16 00:00:44,490 --> 00:00:49,170 So first, let's check on the polarization coming out 17 00:00:49,170 --> 00:00:51,840 of each arm the interferometer in the present setup. 18 00:00:51,840 --> 00:00:57,370 And I'll do this by putting a polarizer out here. 19 00:01:02,930 --> 00:01:08,930 And then I'm going to block each arm 20 00:01:08,930 --> 00:01:10,530 and check on the polarization. 21 00:01:10,530 --> 00:01:20,063 Now, as we can see on the screen, when 22 00:01:20,063 --> 00:01:21,980 the arrow of the polarizer or the transmission 23 00:01:21,980 --> 00:01:24,710 axis of the polarizer is along the horizontal, 24 00:01:24,710 --> 00:01:26,950 I have a lot of light. 25 00:01:26,950 --> 00:01:30,780 And when the arrow is vertical, I've extinguished the light. 26 00:01:30,780 --> 00:01:32,510 Which means that the light coming out 27 00:01:32,510 --> 00:01:34,250 from this arm of the interferometer 28 00:01:34,250 --> 00:01:40,317 is plane polarized in the horizontal direction. 29 00:01:40,317 --> 00:01:41,150 That's for this arm. 30 00:01:41,150 --> 00:01:43,960 Now, I'll check on the beam coming out from the other arm-- 31 00:01:43,960 --> 00:01:45,280 from this arm here. 32 00:01:45,280 --> 00:01:46,820 And, again, there's a lot of light 33 00:01:46,820 --> 00:01:51,830 when the arrow is horizontal, and it's extinguished 34 00:01:51,830 --> 00:01:53,600 when the arrow is vertical. 35 00:01:53,600 --> 00:01:58,250 Which says that the polarization of the light coming out 36 00:01:58,250 --> 00:02:06,030 of the two arms is the same in the horizontal direction. 37 00:02:06,030 --> 00:02:10,430 Now, I'm going to rotate the plane of polarization 38 00:02:10,430 --> 00:02:12,470 of the light coming out from this arm 39 00:02:12,470 --> 00:02:15,110 by using this quarter-wave plate, which 40 00:02:15,110 --> 00:02:16,350 I will insert in this arm. 41 00:02:20,030 --> 00:02:22,800 Now, as we know, light going through a quarter-wave plate, 42 00:02:22,800 --> 00:02:29,830 twice its polarization will be rotated, as we'll see. 43 00:02:29,830 --> 00:02:34,470 So now I want to show that the light from this arm, going 44 00:02:34,470 --> 00:02:40,230 through this polarizer here, onto the screen, it's 45 00:02:40,230 --> 00:02:42,300 going to have its plane of polarization 46 00:02:42,300 --> 00:02:46,230 changed as I rotate the alignment 47 00:02:46,230 --> 00:02:47,470 of this quarter-wave plate. 48 00:02:47,470 --> 00:02:52,560 So with the arrow over here, we can see we have a lot of light. 49 00:02:52,560 --> 00:02:59,670 And as I rotate the quarter-wave plate, 50 00:02:59,670 --> 00:03:01,540 I see that I can extinguish the light. 51 00:03:01,540 --> 00:03:03,330 Which means now, the polarization 52 00:03:03,330 --> 00:03:05,640 of the light coming out from this arm, 53 00:03:05,640 --> 00:03:07,590 is orthogonal to the transmission 54 00:03:07,590 --> 00:03:09,460 axis of the polarizer. 55 00:03:09,460 --> 00:03:09,960 So good. 56 00:03:09,960 --> 00:03:13,940 So, in this way, then I can rotate the plane 57 00:03:13,940 --> 00:03:17,220 of polarization from 0 to 90 degrees 58 00:03:17,220 --> 00:03:21,840 by simply rotating the quarter-wave plate. 59 00:03:21,840 --> 00:03:27,810 Now, I'm ready to look at the effect of polarization rotation 60 00:03:27,810 --> 00:03:30,180 on the fringe contrast. 61 00:03:30,180 --> 00:03:35,400 And what I'll do first, I will take out the polarizer. 62 00:03:35,400 --> 00:03:38,880 So now I have, then, two beams coming out 63 00:03:38,880 --> 00:03:41,130 from the interferometer. 64 00:03:41,130 --> 00:03:45,780 One has polarization in the horizontal plane. 65 00:03:45,780 --> 00:03:49,380 This one here, I can change the state of polarization anywhere 66 00:03:49,380 --> 00:03:52,150 from horizontal to vertical. 67 00:03:52,150 --> 00:03:54,660 So let's look at the screen. 68 00:03:54,660 --> 00:03:59,520 And we see that we have good contrast in this position. 69 00:03:59,520 --> 00:04:05,430 Then, as I rotate the plane of a polarization of this arm 70 00:04:05,430 --> 00:04:13,680 by 90 degrees, you can see that the fringe contrast disappears. 71 00:04:13,680 --> 00:04:15,600 And, in fact, in this position, you don't even 72 00:04:15,600 --> 00:04:17,880 see any fringes at all. 73 00:04:17,880 --> 00:04:23,030 If I go back to the original position, 74 00:04:23,030 --> 00:04:27,430 you can see that the contrast comes back. 75 00:04:27,430 --> 00:04:31,590 And we go back again, watch how the fringes, 76 00:04:31,590 --> 00:04:36,450 because the polarizations are orthogonal. 77 00:04:36,450 --> 00:04:40,320 And just to show you that, indeed, I'm 78 00:04:40,320 --> 00:04:44,940 not hiding anything, I'm going to show 79 00:04:44,940 --> 00:04:48,360 that there's still light coming out from each arm-- 80 00:04:48,360 --> 00:04:50,100 light coming out from this arm and light 81 00:04:50,100 --> 00:04:51,570 coming off of this arm. 82 00:04:51,570 --> 00:04:56,370 But when I superimpose them, there's no interference. 83 00:04:56,370 --> 00:05:00,150 Now, let me put it back to the position where 84 00:05:00,150 --> 00:05:01,530 the polarizations are equal. 85 00:05:01,530 --> 00:05:05,080 And, indeed, we get the good contrast back again. 86 00:05:05,080 --> 00:05:08,700 So, in conclusion, we've shown that orthogonally polarized 87 00:05:08,700 --> 00:05:11,880 light does not interfere, and that's 88 00:05:11,880 --> 00:05:15,660 why we get very low contrast fringes when 89 00:05:15,660 --> 00:05:18,930 we try to interfere orthogonally polarized light. 90 00:05:18,930 --> 00:05:22,050 So then, in any interferometer experiment, 91 00:05:22,050 --> 00:05:25,500 you have to make sure that the polarization is 92 00:05:25,500 --> 00:05:29,610 the same coming out from each arm of the interferometer. 93 00:05:29,610 --> 00:05:31,700 The question I want to leave with you 94 00:05:31,700 --> 00:05:37,610 is why orthogonally polarized light does not interfere.