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[attachment:POX_modified_schematic.png Schematic] |
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| 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 are the following: |
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| || 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 || || 143 +- 3 || 631.94 +- 0.04 || chi^2/ndf = 432 === Alberto's LISO Model === attachment:pox_tf.pdf |
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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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| f,,0,, = (11.14 +- 0.01) MHz | ''f'',,0,, = (11.14 +- 0.01) MHz |
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| Gamma = (764 +- 1) kHz | ''Gamma'' = (764 +- 1) kHz |
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| R,,0,, = (8.38 +- 0.01) x 10^8^ Hz Ohms | ''R'',,0,, = (8.38 +- 0.01) x 10^8^ Hz Ohms |
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| C = (11.14 +- 0.05) Ohms | ''C'' = (11.14 +- 0.05) Ohms |
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| ''f'',,0,, = (22.68 +- 0.01) MHz ''Gamma'' = (820 +- 1) kHz ''R'',,0,, = (-5.64 +- 0.01) x 10^6^ Hz Ohms ''C'' = (23.44 +- 0.01) Ohms chi^2/ndf = 12.7 |
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''f'',,0,, = (55.29 +- 0.01) MHz ''Gamma'' = (1.74 +- 0.01) MHz ''R'',,0,, = (-9.98 +- 0.01) x 10^5^ Hz Ohms ''C'' = (1.62 +- 0.01) Ohms chi^2/ndf = 3.22 |
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| Z,,RF,, = (2.07 +- 0.01) kOhms | ''Z'',,RF,, = (2.07 +- 0.01) kOhms |
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| I,,d,, = (24.7 +- 0.6) mA | ''I'',,d,, = (247 +- 6) uA |
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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. === Alberto's LISO Model === attachment:pox_noise.pdf |
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/]
[attachment:POX_modified_schematic.png Schematic]
RF Transimpedance
attachment:transimpedance.png
The above fit was done in LISO in root mode. The results of the fit are 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 |
143 +- 3 |
631.94 +- 0.04 |
chi^2/ndf = 432
Alberto's LISO Model
attachment:pox_tf.pdf
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.
Alberto's LISO Model
attachment:pox_noise.pdf
RF Behavior with No Light
attachment:timeseries.png
attachment:dark_spectrum.png
Picture of Photodiode
attachment:POX.jpg
Picture taken on 12/13/2010.
