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Size: 1701
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Size: 2341
Comment:
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| Deletions are marked like this. | Additions are marked like this. |
| Line 9: | Line 9: |
| The resonance peaks at 11, 22, and 55 MHz were measured in detail and fit to a resonance curve (see below) with the following results | The above fit was done in LISO in root mode. The results of the fit were the following: |
| Line 11: | Line 11: |
| || Resonance Frequency || Transimpedance at Resonance || Q || || (11.14 +- 0.01) MHz || (2.206 +- 0.001) kOhms || 14.58 +- 0.01 || || (22.68 +- 0.01) MHz || (9.681 +- 0.003) Ohms || 27.66 +- 0.01 || || (55.29 +- 0.01) MHz || (475 +- 2) mOhms || 31.81 +- 0.05 || |
factor = (-2.1 +- 0.2) Ohms delay = (9.57 +- 0.02) ns five poles: || frequency (MHz) || Q || || 11.133 +- 0.003 || 14.3 +- 0.1 || || 11.45 +- 0.06 || 0.595 +- 0.005 || || 25.46 +- 0.02 || 5.89 +- 0.07 || || 224.33 +-0.02 || 124 +- 4 || || 100.7 +- 0.9 || 706.82 +- 0.04 || four zeros: || frequency (MHz) || Q || || 22.67 +- 0.01 || 35 +- 1 || || 55.4 +- 0.3 || (10.0 +- 0.2) x 10^6^ || || 0.93 +- 0.04 || 3.9 +- 0.6 || |
| Line 17: | Line 30: |
More detailed transfer functions were measured around the resonance peaks at 11, 22, and 55 MHz. These transfer functions were fit to attachment:resfitfunc.png where ''f'',,0,, is the resonant frequency and ''Gamma'' is the line width. ''Q'' is calculated by ''f'',,0,,/''Gamma''. |
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| Line 22: | Line 37: |
| f,,0,, = (11.14 +- 0.01) MHz | ''f'',,0,, = (11.14 +- 0.01) MHz |
| Line 24: | Line 39: |
| Gamma = (764 +- 1) kHz | ''Gamma'' = (764 +- 1) kHz |
| Line 26: | Line 41: |
| R,,0,, = (8.38 +- 0.01) x 10^8^ Hz Ohms | ''R'',,0,, = (8.38 +- 0.01) x 10^8^ Hz Ohms |
| Line 28: | Line 43: |
| C = (11.14 +- 0.05) Ohms | ''C'' = (11.14 +- 0.05) Ohms |
| Line 36: | Line 51: |
| f,,0,, = (22.68 +- 0.01) MHz | ''f'',,0,, = (22.68 +- 0.01) MHz |
| Line 38: | Line 53: |
| Gamma = (820 +- 1) kHz | ''Gamma'' = (820 +- 1) kHz |
| Line 40: | Line 55: |
| R,,0,, = (-5.64 +- 0.01) x 10^6^ Hz Ohms | ''R'',,0,, = (-5.64 +- 0.01) x 10^6^ Hz Ohms |
| Line 42: | Line 57: |
| C = (23.44 +- 0.01) Ohms | ''C'' = (23.44 +- 0.01) Ohms |
| Line 50: | Line 65: |
| f,,0,, = (55.29 +- 0.01) MHz | ''f'',,0,, = (55.29 +- 0.01) MHz |
| Line 52: | Line 67: |
| Gamma = (1.74 +- 0.01) MHz | ''Gamma'' = (1.74 +- 0.01) MHz |
| Line 54: | Line 69: |
| R,,0,, = (-9.98 +- 0.01) x 10^5^ Hz Ohms | ''R'',,0,, = (-9.98 +- 0.01) x 10^5^ Hz Ohms |
| Line 56: | Line 71: |
| C = (1.62 +- 0.01) Ohms | ''C'' = (1.62 +- 0.01) Ohms |
| Line 66: | Line 81: |
| Z,,RF,, = (2.07 +- 0.01) kOhms | ''Z'',,RF,, = (2.07 +- 0.01) kOhms |
| Line 68: | Line 83: |
| I,,d,, = (24.7 +- 0.6) mA | ''I'',,d,, = (247 +- 6) uA |
| Line 71: | Line 86: |
Note that this value for the transimpedance agrees with the above transfer functions since the noise was measured at 11 MHz instead of the resonance frequency of 11.14 MHz. |
POX
The data for the following measurements is located at [https://nodus.ligo.caltech.edu:30889/svn/trunk/docs/upgrade08/RFsystem/RFphotodiodes/POX/ /svn/trunk/docs/upgrade08/RFsystem/RFphotodiodes/POX/]
RF Transimpedance
attachment:transimpedance.png
The above fit was done in LISO in root mode. The results of the fit were the following:
factor = (-2.1 +- 0.2) Ohms
delay = (9.57 +- 0.02) ns
five poles:
frequency (MHz) |
Q |
11.133 +- 0.003 |
14.3 +- 0.1 |
11.45 +- 0.06 |
0.595 +- 0.005 |
25.46 +- 0.02 |
5.89 +- 0.07 |
224.33 +-0.02 |
124 +- 4 |
100.7 +- 0.9 |
706.82 +- 0.04 |
four zeros:
frequency (MHz) |
Q |
22.67 +- 0.01 |
35 +- 1 |
55.4 +- 0.3 |
(10.0 +- 0.2) x 106 |
0.93 +- 0.04 |
3.9 +- 0.6 |
Fits To Resonance
More detailed transfer functions were measured around the resonance peaks at 11, 22, and 55 MHz. These transfer functions were fit to attachment:resfitfunc.png where f0 is the resonant frequency and Gamma is the line width. Q is calculated by f0/Gamma.
11 MHz Resonance
attachment:res1.png
f0 = (11.14 +- 0.01) MHz
Gamma = (764 +- 1) kHz
R0 = (8.38 +- 0.01) x 108 Hz Ohms
C = (11.14 +- 0.05) Ohms
chi^2/ndf = 95.4
22 MHz Resonance
attachment:res2.png
f0 = (22.68 +- 0.01) MHz
Gamma = (820 +- 1) kHz
R0 = (-5.64 +- 0.01) x 106 Hz Ohms
C = (23.44 +- 0.01) Ohms
chi^2/ndf = 12.7
55 MHz Resonance
attachment:res3.png
f0 = (55.29 +- 0.01) MHz
Gamma = (1.74 +- 0.01) MHz
R0 = (-9.98 +- 0.01) x 105 Hz Ohms
C = (1.62 +- 0.01) Ohms
chi^2/ndf = 3.22
Noise
attachment:noise.png
The noise data was fit to attachment:fitfunc.png with the following results:
ZRF = (2.07 +- 0.01) kOhms
Id = (247 +- 6) uA
chi2 / ndf = 42
Note that this value for the transimpedance agrees with the above transfer functions since the noise was measured at 11 MHz instead of the resonance frequency of 11.14 MHz.
RF Behavior with No Light
attachment:timeseries.png
attachment:dark_spectrum.png
Picture of Photodiode
attachment:POX.jpg
Picture taken on 12/13/2010.
