LASER INTERFEROMETER GRAVITATIONAL WAVE OBSERVATORY -LIGO- CALIFORNIA INSTITUTE OF TECHNOLOGY MASSACHUSETTS INSTITUTE OF TECHNOLOGY

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1 LASER INTERFEROMETER GRAVITATIONAL WAVE OBSERVATORY -LIGO- CALIFORNIA INSTITUTE OF TECHNOLOGY MASSACHUSETTS INSTITUTE OF TECHNOLOGY DOCUMENT TYPE LIGO-E C /0/0 INTENSITY SERVO DC PHOTODIODE PRELIMINARY ELECTRONICS DESIGN Ben Abbott Distribution of this draft: This is an internal working note Of the LIGO Project. California Institute of Technology Massachusetts Institute of Technology LIGO Project MS - LIGO Project MS 0B- Pasadena, CA 9 Cambridge, MA 09 Phone (88) 9-9 Phone (67) -8 Fax (88) 0-98 Fax (67) -70 WWW:

2 Following the specifications given to me by R. Karwoski, I have come up with the following DC photodiode design: C.e-6 R R0 000 X AD89 C6 e- VCC Comp VEE Y volts I R 0.9 C 80E- X AD89 C e- R 00 VCC Comp VEE Y volts C 0E-6 R 00 C 0.uF R 000 R6 000 R8 X8 900 AD89 VCC Comp VEE C7 e- R 000 R 000 R7 000 X LT08L VCC VEE Y volts X6 SUM K SUM Y volts V V R 000 X7 LT08L VCC VEE Y volts K The performance of this design is shown on the following pages. All of the simulations have been performed in Intusoft SPICE. The first stage has a transimpedance of 00 Ω. After this stage, the signal is split. One path goes to a DC output stage with a DC gain of 0, and a low pass filter corner frequency of 00Hz. The second path goes through a high pass filter with a corner frequency of 0 Hz. This path then goes through a non-inverting Op Amp configuration with a gain of. The result of this is then split off in two directions, and passed out as a differential signal b. The phase at 00 KHz is less than which fits well inside the spec a.

3 Here is the schematic as it exists in Protel as of /0/0: U AD U AD U7 LT08 C PF - R 00 C7 PF C 0UF R8 000 C 0.UF C 0.UF Vin +V U MC78MCT Vin -V U8 MC79T - R 000 R6 00 R 000 R 000 C8 0.UF C 0.UF U AD87 - R 0K C 0.UF C 0.UF R 000 C PF C7 000PF - + C0 0.UF C0 000PF C6 0.UF U6 LT08 C 000PF + C9 0.UF C9 000PF C 0.UF - R R7.9K C 0.UF TP TESTPT TP TESTPT TP TESTPT J SMA Vin +8V U MC7808T C6.UF C PF A K G D PHOTODIODE C 0.UF C 0.UF C9 0.UF C8 0.UF C8 0.UF C7 0.UF + - JP HEADER JP HEADER C6 PF C0 PF C 0.UF In In In In J L R RES R RES R RES D C

4 In this first plot, the output of the first stage is shown in db versus frequency. It has a relatively flat gain of just over db from the input current. vdby.0.0 Plot vdby in db(volts) M 0 00 K 0K 00K MEG 0MEG frequency in hertz

5 The next plot shows the DC output, with its corner frequency of 00 Hz. vdby Plot vdby in db(volts) M 0 00 K 0K 00K MEG 0MEG frequency in hertz

6 In the following plot, the differential output is shown that has an overall gain of two. vdby.0.0 Plot vdby in db(volts) M 0 00 K 0K 00K MEG 0MEG frequency in hertz

7 Next, the phase of the output is plotted versus frequency. vphy Plot vphy in degs M 0 00 K 0K 00K MEG 0MEG frequency in hertz

8 Finally, the next plot shows the input referred noise of the simulation. It seems from the graph to be around 9nV/ Hz input referred noise from Hz to MHz. sqrt(inoise) 60.0N Plot sqrt(inoise) in sqrt(volt volts / hertz) 0.0N 0.0N 0.0N 0.0N 00M 0 00 K 0K 00K MEG 0MEG frequency in hertz The next page shows the actual noise curve taken /6/0. Because the gain of the circuit is 00, the circuit s input referred noise is 0dB better than the graph, or 6.6 dbv/ 0Hz, and gets better after that.

9 A Live -90 dbvrms/ Hz 0 Hz -.6 dbvrms/ Hz SRS db/div -0 dbvrms/ Hz Hz FFT Log Mag Uniform RmsAvg. khz /6/0 09:6:9

10 ) Specifications from R. Karwoski /7/0 X-Sender: X-Mailer: QUALCOMM Windows Eudora Pro Version.0 Date: Tue, 7 Feb 00 :0: To: babbott@ligo.caltech.edu From: Rick Karwoski <karwoski@ligo.caltech.edu> Subject: PD Gain info Cc: rjk@ligo.caltech.edu Ben, Following up on our conversation yesterday, here is some data I think you will find useful: At the Lauritsen Lab with the existing photodetector assembly: ) mw of laser lite ) DC reading at the photodetector output: VDC Now superimposing a fairly low frequency at the current shunt input: ). v p-p sinusoid ) produces an A.C. level at the photodetector output:.0 v p-p. Here are some of my initial thoughts: I am not sure about the details of the photodetector circuit, but let's say for the sake of argument that it is a single trans-type circuit. mw of laser lite producing VDC indicates an Equivalent Resistance of 000 ohms. I'm sure that is not the case but it serves as a reference. Now looking at items and.. v p-p at the current shunt produces.0 volts the PD -- that's a gain of about.0/. =.008 for the shunt-pd block. Using unity gain as a convenient objective for the block, a secondary stage gain of would be required. However, recalling your initial PD circuit with a feedback resistor of 00 ohms -- roughly / of the table-top unit Equivalent Resistance -- to achieve a unity gain would require an additional gain of 7 in the subsequent (i.e., your a.c.-coupled) stages.

11 By the way, with the laser running free, the secondary gain of 00 produces noise which extends about +/-00mv pk. -- a comfortable amount. This amount is what would be produced from your device should you create a 00-ohm-7 equivalent device. Your DC output would be on the order of volt. If you think a gain of 7 seems a bit high. I think you could relax it somewhat...check this out. With mw on the Laser,. v p-p ac excitation produces only mv (not mv) of ac output. One might assume that the small signal ac gain is related to the dc lite. Carrying the inference in the other direction, 0 mw of light is -/ greater than the mw in the original scenario. Could we assume that the ac gain would increase by. if we used 0 mw as opposed to mw. If that's the case you could cut your PD design down to a 00-ohm--Gain thing and get the same results. I'd advise heading down to Lauritsen and getting some more data. Please let me know if you are interested in doing so. I would like to join you. ) Verbally conveyed requirements from R Karwoski through personal communication. a) Design must have less than phase noise back at 00 KHz. b) Design must transmit a signal out as a differential signal for optimal common mode rejection.

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