NAOJ GW Elog Logbook 3.2
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At first I checked the power of linear polarization (after HWP+QWP) which is incident on EOM. The measurement in oscilloscope of Moku showed 500Vp-p. This is the input power.
Then the photodiode measured the power after EOM in cross polarizer configuration. This was the output power.'
I apply voltage from 0-2Vp-p using Moku to the Opamp circuit. I then obtain the following plot (Fig 1) of Transmission % vs. Voltage. The data is saved in "Characteristics_20250217.txt".
The frequency of the RF circuit was identified by taking In1(from photodiode)/Out1(Input to the RF circuit). I measured the place of resonant frequency using laser.
Interpretation:
That result means the fitting routine found the parameters:
y = 112.8 sin(0.5x+0.5)**2 - 21.4 by using the fit function: A sin (Bx + C) **2 + D
which implies:
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Amplitude: 112.8, so the sin^2 term varies by 112.8.
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Frequency: 0.5, meaning the period is
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Phase shift: 0.5, so the sine's argument is shifted.
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Offset: -21.4, which makes the minimum value y_{min}=-21.4 (since goes from 0 to 1, the output ranges from 112.8-21.4=91.4).
According to theory written in "Optical Electronics" by Yariv, for a amplitude modulation EOM
TransmissionOut/ Input = sin^2( pi/2 * V/Vpi)
If I can properly, obtain my transfer function measurement then I can very well define my V. Hence, I can estimate the fit parameters better. Also, the quality of fit can then be better estimated by seeing if we have this pi/2 factor inside the sin square function or not.
Currently I am using the voltage input to RF circuit, and not the voltage across the EOM electrodes.
The maximum Transmisison factor achieved with this circuit was 0.86 or 86%. I can calculate what is roughly the maximum voltage I provided.
Vpi = 306.26V from elog 3750
Vpi * asin(sqrt(0.86)) / 1.5 = 284 V at resonant freq of 189.13 kHz.
Considering the length of transmission line I have as l = 35cm, of R0=50 ohm, I can compute the stray capacitance of the EOM due to the tranmission line as follows: