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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 were 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 +- 81 ||
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 ||
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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

''Gamma'' = (764 +- 1) kHz

''R'',,0,, = (8.38 +- 0.01) x 10^8^ Hz Ohms

''C'' = (11.14 +- 0.05) Ohms

chi^2/ndf = 95.4
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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.

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.

Electronics/POX11 (last edited 2012-01-03 23:03:06 by localhost)