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Metrology / Measuring femto-level differntial capactiance changes
« Last post by charliehorse55 on Today at 05:52:37 am »My dad is a semi-retired physicist and he's interested in building a gravitational wave detector. The idea is to measure the differential change in capacitance of 2 capacitors oriented at 90 degrees. Gravity waves push the plates of the capacitor back and forth, causing the voltage on the capacitor to change:
The 0.1 ohm resistor is to filter the low frequency components (mainly drift due to internal leakage).
We're aware that we won't be able to observe anything with an experiment that fits into our cost/complexity budget, but the idea is to develop the technology to understand what would be required for a full-scale system. By creating smaller and smaller test inputs (for ex. mechanically vibrating the capacitor), we can validate how sensitive the instrument is, and how much it would have to improve in order to observe gravitational waves.
Ultimately, the signal will be buried in a lot of noise and require signal processing techniques to extract, so the amplifier needs enough gain to amplify the inherent noise to cover the entire range of the ADC (with room to prevent clipping). So, the lower the system noise, the higher the gain.
Frequency: 50-4kHz
Gain: noise floor (100nV?) -> 1V for a 3V ADC = ~10 million V/V = 140dB?
I have little-to-no experience with analog design, so I'm kinda jumping into the deep end with this!
The 0.1 ohm resistor is to filter the low frequency components (mainly drift due to internal leakage).
We're aware that we won't be able to observe anything with an experiment that fits into our cost/complexity budget, but the idea is to develop the technology to understand what would be required for a full-scale system. By creating smaller and smaller test inputs (for ex. mechanically vibrating the capacitor), we can validate how sensitive the instrument is, and how much it would have to improve in order to observe gravitational waves.
Ultimately, the signal will be buried in a lot of noise and require signal processing techniques to extract, so the amplifier needs enough gain to amplify the inherent noise to cover the entire range of the ADC (with room to prevent clipping). So, the lower the system noise, the higher the gain.
Frequency: 50-4kHz
Gain: noise floor (100nV?) -> 1V for a 3V ADC = ~10 million V/V = 140dB?
- Should we use discrete transistors for some sort of input stage, or directly go into a low noise op amp such as LT1128?
- Is there a practical limit to how much gain you can put onto a single op-amp stage? The LT1128 has >75MHz GBW, which would imply for 4kHz a single stage could already have a gain >10,000. Such high value resistors add noise of their own?
- How many stages of amplifier should we use?
- The source impedance here should be the ESR of the supercapacitor, which is extremely low. Could a small signal transformer be used? Do they have any non-linear effects that might destroy a femto-level signal?
- How to implement the 50Hz filter on the input? The required value of R for Fc=50Hz would be something in the ~10 uOhm range, which would get dwarfed by the internal resistance of the caps. A simple RC pole would introduce too much noise through the resistor, right?
I have little-to-no experience with analog design, so I'm kinda jumping into the deep end with this!