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 --> 00:00:17,240 from hundreds of MIT courses, visit MIT OpenCourseWare 7 00:00:17,240 --> 00:00:20,634 at ocw.mit.edu. 8 00:00:20,634 --> 00:00:23,500 SHAOUL EZEKIEL: In this next demonstration, 9 00:00:23,500 --> 00:00:26,910 we're going to show how one can get a laser 10 00:00:26,910 --> 00:00:31,980 to oscillate at only one frequency when normally 11 00:00:31,980 --> 00:00:36,300 the laser oscillates at many frequencies associated 12 00:00:36,300 --> 00:00:38,670 with the longitudinal modes. 13 00:00:38,670 --> 00:00:42,180 In this case, we're going to look at an argon laser, which 14 00:00:42,180 --> 00:00:44,560 is over here. 15 00:00:44,560 --> 00:00:51,180 And we're going to do the single frequency selection by placing 16 00:00:51,180 --> 00:00:54,480 an etalon inside the cavity. 17 00:00:54,480 --> 00:00:58,320 Now, an etalon is a short Fabry-Perot cavity 18 00:00:58,320 --> 00:01:02,430 which you then will place inside the argon laser cavity. 19 00:01:02,430 --> 00:01:07,910 And we'll be able to select single frequency. 20 00:01:07,910 --> 00:01:12,440 Now, we're ready to look at the spectrum of the light 21 00:01:12,440 --> 00:01:14,600 from an argon ion laser. 22 00:01:14,600 --> 00:01:17,030 Here is the argon ion laser. 23 00:01:17,030 --> 00:01:19,220 And the output is coming from the other end 24 00:01:19,220 --> 00:01:20,510 of the laser over here. 25 00:01:20,510 --> 00:01:25,610 We're going to reflect it by mirrors onto this mirror here. 26 00:01:25,610 --> 00:01:27,620 And then reflected light from this mirror 27 00:01:27,620 --> 00:01:30,110 will go onto this mirror and is then 28 00:01:30,110 --> 00:01:34,460 reflected into this scanning Fabry-Perot interferometer. 29 00:01:34,460 --> 00:01:39,440 The free spectral range of this cavity is 15 gigahertz. 30 00:01:39,440 --> 00:01:41,220 And here is the detector. 31 00:01:41,220 --> 00:01:44,320 And we also put a hood over the path between the cavity 32 00:01:44,320 --> 00:01:46,250 and detector to prevent room light 33 00:01:46,250 --> 00:01:48,650 from reaching the detector. 34 00:01:48,650 --> 00:01:51,890 At the same time, we have a beam splitter here. 35 00:01:51,890 --> 00:01:54,020 We're going to reflect a little bit of the light 36 00:01:54,020 --> 00:01:56,840 into another scanning Fabry-Perot interferometer 37 00:01:56,840 --> 00:01:58,820 over here. 38 00:01:58,820 --> 00:02:01,010 This is a longer cavity. 39 00:02:01,010 --> 00:02:05,300 It has a free spectral range of 1 1/2 gigahertz. 40 00:02:05,300 --> 00:02:08,180 Again, the detector for this cavity is over here. 41 00:02:10,820 --> 00:02:14,360 First, we're going to look at the spectrum of the laser light 42 00:02:14,360 --> 00:02:17,840 with the 15 gigahertz free spectral range cavity. 43 00:02:17,840 --> 00:02:20,120 So now, let's go over to the scope 44 00:02:20,120 --> 00:02:23,810 and look at the output spectrum. 45 00:02:23,810 --> 00:02:29,030 Now we can see the output of the 15 gigahertz free spectral 46 00:02:29,030 --> 00:02:34,430 range scanning Fabry-Pérot cavity on the oscilloscope. 47 00:02:34,430 --> 00:02:38,070 What we see here is the free spectral range, 48 00:02:38,070 --> 00:02:39,980 which is, again, 15 gigahertz. 49 00:02:39,980 --> 00:02:43,400 That's the separation between these two peaks. 50 00:02:43,400 --> 00:02:47,060 And the spectrum of the laser looks like it's 51 00:02:47,060 --> 00:02:48,350 about a few gigahertz wide. 52 00:02:51,350 --> 00:02:55,310 The reason for this is that the gain curve in argon laser 53 00:02:55,310 --> 00:02:56,090 is pretty broad. 54 00:02:56,090 --> 00:02:59,480 It's of the order of 10 to 15 gigahertz. 55 00:02:59,480 --> 00:03:02,990 And lots of longitudinal modes oscillate. 56 00:03:02,990 --> 00:03:05,510 And they compete with each other. 57 00:03:05,510 --> 00:03:09,620 And right now, they're blending to give you this big blob 58 00:03:09,620 --> 00:03:14,050 of several gigahertz spectrum. 59 00:03:14,050 --> 00:03:17,420 Now, for many applications, this broad spectrum 60 00:03:17,420 --> 00:03:22,610 is not of much use, for example, in applications 61 00:03:22,610 --> 00:03:25,130 using interferometry. 62 00:03:25,130 --> 00:03:28,520 For such applications, you need to make the laser oscillate 63 00:03:28,520 --> 00:03:31,900 at a single frequency. 64 00:03:31,900 --> 00:03:34,720 The popular way of generating single frequency 65 00:03:34,720 --> 00:03:38,650 in these big lasers is to use an etalon 66 00:03:38,650 --> 00:03:41,680 and put it inside the laser cavity 67 00:03:41,680 --> 00:03:44,870 to select out a single frequency. 68 00:03:44,870 --> 00:03:48,010 So when we come back, we will put 69 00:03:48,010 --> 00:03:53,560 in an etalon inside the laser and observe single frequency 70 00:03:53,560 --> 00:03:54,360 output behavior. 71 00:03:57,850 --> 00:04:02,760 Now, I'm going to put an etalon inside the laser cavity. 72 00:04:02,760 --> 00:04:07,920 Here is the etalon in a holder. 73 00:04:07,920 --> 00:04:09,910 It's a very simple thing. 74 00:04:09,910 --> 00:04:12,960 It's a piece of glass, parallel piece of glass one centimeter 75 00:04:12,960 --> 00:04:14,070 thick. 76 00:04:14,070 --> 00:04:21,480 And it has a reflectivity of about 35% on each surface. 77 00:04:21,480 --> 00:04:25,710 And it's held in this mount here so I can then adjust it 78 00:04:25,710 --> 00:04:29,370 within the laser cavity. 79 00:04:29,370 --> 00:04:36,280 So now I'm going to place the etalon inside the laser cavity. 80 00:04:36,280 --> 00:04:38,760 There's a little space here between the Brewster window 81 00:04:38,760 --> 00:04:40,500 and one of the mirrors. 82 00:04:43,310 --> 00:04:44,900 So here we are. 83 00:04:44,900 --> 00:04:47,520 Here's the etalon in place. 84 00:04:47,520 --> 00:04:52,940 Now all I have to do now is adjust the alignment. 85 00:04:58,850 --> 00:04:59,840 And here we are, now. 86 00:04:59,840 --> 00:05:00,470 We get lasing. 87 00:05:05,190 --> 00:05:06,610 We have lasing now. 88 00:05:06,610 --> 00:05:10,670 And now we're ready, then, to go and look 89 00:05:10,670 --> 00:05:12,830 at the output of the spectrum analyzer 90 00:05:12,830 --> 00:05:14,660 with this etalon in place. 91 00:05:17,190 --> 00:05:20,610 Since the etalon is a solid piece of glass, 92 00:05:20,610 --> 00:05:22,780 I cannot change its length very easily. 93 00:05:22,780 --> 00:05:29,580 But I can effectively change its length by misaligning it. 94 00:05:35,220 --> 00:05:39,980 In this way, then, I can get a tuning of the etalon 95 00:05:39,980 --> 00:05:43,940 by simply rotating the etalon. 96 00:06:03,770 --> 00:06:07,040 Now that we have the etalon inside the cavity, 97 00:06:07,040 --> 00:06:11,420 the spectrum is single frequency. 98 00:06:11,420 --> 00:06:16,190 And again, the free spectral range is 15 gigahertz. 99 00:06:16,190 --> 00:06:18,720 But the output now is single frequency. 100 00:06:18,720 --> 00:06:22,190 And, in fact, by adjusting the etalon, 101 00:06:22,190 --> 00:06:30,720 I can tune this frequency across the gain curve of the argon 102 00:06:30,720 --> 00:06:34,802 laser, which is right now about a few gigahertz. 103 00:06:34,802 --> 00:06:35,760 So let me do it again-- 104 00:06:48,255 --> 00:06:49,233 over here. 105 00:06:55,620 --> 00:07:01,170 The finesse of the cavity, this 15 gigahertz cavity, 106 00:07:01,170 --> 00:07:03,160 is not very high. 107 00:07:03,160 --> 00:07:07,680 So what we'll do, we'll switch to the other cavity, 108 00:07:07,680 --> 00:07:11,100 the one that has a 1 1/2 gigahertz free spectral range. 109 00:07:11,100 --> 00:07:12,900 It has a much higher finesse. 110 00:07:12,900 --> 00:07:16,470 And we'll be able to see some interesting behavior 111 00:07:16,470 --> 00:07:20,790 of this single frequency operation of the laser. 112 00:07:20,790 --> 00:07:26,310 On the scope, now, we have the output of the 1 1/2 gigahertz 113 00:07:26,310 --> 00:07:29,130 Fabry-Pérot cavity. 114 00:07:29,130 --> 00:07:35,490 As you can see, the spacing between the modes here is 1 1/2 115 00:07:35,490 --> 00:07:36,510 gigahertz. 116 00:07:36,510 --> 00:07:39,270 And the finesse is pretty high, probably 117 00:07:39,270 --> 00:07:41,070 of the order of 300 or so. 118 00:07:44,170 --> 00:07:50,780 As we can see, the output of the laser is a single frequency. 119 00:07:50,780 --> 00:07:53,530 And now what I'm going to do, I'm 120 00:07:53,530 --> 00:07:57,160 going to misalign the etalon and see what happens. 121 00:08:04,480 --> 00:08:10,360 Now, what you notice is that, because I'm tuning the etalon, 122 00:08:10,360 --> 00:08:13,320 I'm also going to be tuning the laser frequency. 123 00:08:13,320 --> 00:08:17,410 But the laser frequency is not tuning smoothly. 124 00:08:17,410 --> 00:08:18,520 It's tuning in jumps. 125 00:08:18,520 --> 00:08:19,570 So let me do it again. 126 00:08:33,750 --> 00:08:39,419 Here we are, jumps or so-called mode 127 00:08:39,419 --> 00:08:47,540 hops of the order of the free spectral range of the laser 128 00:08:47,540 --> 00:08:54,170 cavity, which is of the order of 150 or so megahertz, 129 00:08:54,170 --> 00:08:57,620 because the laser cavity is about a meter long. 130 00:08:57,620 --> 00:09:00,005 So again, let me show you the hops again. 131 00:09:08,770 --> 00:09:13,810 Now, let me try to do it with the other knob on the etalon, 132 00:09:13,810 --> 00:09:17,100 since they're less sensitive [INAUDIBLE].. 133 00:09:17,100 --> 00:09:19,710 Now you can see the hops much better. 134 00:09:23,070 --> 00:09:24,930 Here we are. 135 00:09:24,930 --> 00:09:28,720 There's two hops there, one, two. 136 00:09:33,250 --> 00:09:34,900 Here we are. 137 00:09:34,900 --> 00:09:38,410 In fact, we expand this scale, and we 138 00:09:38,410 --> 00:09:40,770 can make the hops even larger. 139 00:09:40,770 --> 00:09:42,670 All right, here the scale's expanded. 140 00:09:42,670 --> 00:09:44,770 Let me try again. 141 00:09:51,270 --> 00:09:55,260 You can see the hops now much more dramatically. 142 00:09:55,260 --> 00:09:56,370 Again, it's about 1 1/2-- 143 00:10:00,630 --> 00:10:03,550 150 megahertz or so per mode hop. 144 00:10:09,740 --> 00:10:12,277 In fact, the intensity is supposed to-- 145 00:10:12,277 --> 00:10:13,735 as I tune the etalon, the intensity 146 00:10:13,735 --> 00:10:16,730 is supposed to go down, and then hop, and then go up, 147 00:10:16,730 --> 00:10:18,620 down, and then hop. 148 00:10:18,620 --> 00:10:27,600 Let's do it one last time, one hop, another hop, another hop, 149 00:10:27,600 --> 00:10:29,140 and so on. 150 00:10:29,140 --> 00:10:32,810 So when we use the etalon inside the cavity, 151 00:10:32,810 --> 00:10:37,190 then we should be expecting these mode hops 152 00:10:37,190 --> 00:10:43,970 when the etalon gets misaligned or its length 153 00:10:43,970 --> 00:10:48,370 changes by a small amount. 154 00:10:48,370 --> 00:10:52,290 Now, when one uses an etalon like this inside a laser 155 00:10:52,290 --> 00:10:56,730 cavity, there is one thing that one should never do, 156 00:10:56,730 --> 00:11:01,530 and that align the etalon perfectly normal with respect 157 00:11:01,530 --> 00:11:05,460 to the axis of the cavity or the laser beam inside the cavity. 158 00:11:05,460 --> 00:11:07,710 Because if you do, then you're going 159 00:11:07,710 --> 00:11:12,330 to get all sorts of multiple cavities taking place. 160 00:11:12,330 --> 00:11:15,953 And the spectrum goes absolutely haywire. 161 00:11:15,953 --> 00:11:17,370 So now I'm going demonstrate that. 162 00:11:17,370 --> 00:11:24,150 I'm going to now align the Fabry-- 163 00:11:24,150 --> 00:11:27,690 the etalon to be normal to the laser cavity. 164 00:11:27,690 --> 00:11:32,670 And we see that the spectrum goes absolutely haywire. 165 00:11:32,670 --> 00:11:35,220 And all we have to do is just tilt away. 166 00:11:37,900 --> 00:11:42,420 And here we get quiet single frequency behavior. 167 00:11:42,420 --> 00:11:49,350 And we go back, and bring it to normal alignment. 168 00:11:49,350 --> 00:11:57,490 And here we see the spectrum going absolutely haywire. 169 00:11:57,490 --> 00:12:01,900 So again, the no-no with etalons is not 170 00:12:01,900 --> 00:12:04,000 to place them normal to the beam. 171 00:12:04,000 --> 00:12:07,540 You just have to tilt them away just a little bit. 172 00:12:07,540 --> 00:12:14,390 And you get nice, quiet, single frequency behavior.