Tara and I measured the correlation between Voltage and Power behind ACAV, and applied the found calibration to get the TF magnitude in the units of Hz/Watt.
**Intro:**
We wanted to convert the previously measured TF magnitude (elog 1005) into units of Hz/Watt, as opposed to the previously used Hz/RIN. See attached elog (1014) for an explanation of why these units have a more applicable meaning and application.
**Setup/Data Obtained:**
We measured the power immediately behind ACAV, the power immediately before the pd (there is a beam splitter between the first and second power measurements), and the corresponding voltage after the pd. The pd gain was set to 20dB. I plotted the results and fit each data set:
The fit equations are:
**pd fit**: y = 5680.4x + 0.036843
**cavity fit**: y = 2923.3x + 0.027703
Where y is the voltage (Volts) after the pd and x is the power (Watts) in front of the pd for the pd fit, and right behind the cavity for the cavity fit.
**TF Magnitude in Hz/Watt:**
Using the slope of the line relating the power behind the cavity to the voltage as the calibration, I was able to convert the previously measured TF magnitude into the units of Hz/Watt, and plot it against the calculated TF (elog 1014) magnitude in units of Hz/Watt (calculated using Cerdonio et al's results):
**Application to Noise Budget:**
I also plotted the RIN induced noise using the TF in units of Hz/Watt using :
Frequency Noise = TF[Hz/Watt] * RIN * Power_in
I used an input power of 2mW, and the RIN from 6/13 behind ACAV.
The frequency noise generated is a factor of 1.4 larger than that generated using the TF in units of Hz/RIN. Since the TF in Hz/RIN was measured, it is more reliable. This discrepancy indicates that the TF magnitude is also probably too high, and there is a possible error in the calibration constant used to convert voltage to power, or possibly an error in the power readings. |