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Ongoing work on data analysis of the measured data

This ongoing project focuses on improving the accuracy of measurements and finding the functional dependence of the reflection coefficient on measured parameters. By fitting the data to a known function, the accuracy of Q0 can be dramatically improved.

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Ongoing work on data analysis of the measured data

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  1. Ongoing work on data analysis of the measured data Vitaliy, Krish 2015

  2. Raw data • Two challenges: • coupling coefficient is a function of the cavity voltage • accuracy of measurements is poor 2

  3. To be done: • improve the accuracy of our measurements • find the functional dependence of the reflection coefficient as a function of measured parameters • if we know the function that the data have to be fitted to, we can dramatically improve the accuracy of Q0

  4. General expression for the reflection coefficient If we break the complex reflection coefficient into the real and imaginary parts and eliminate the cavity phase shift We get the relation that describes the circle for an ideal cavity center radius

  5. Coupling vs cavity voltage expected Q0 cavity voltage consider small variation in the vicinity of the flat-top part with a quadratic dependence the equation for the reflection coefficient becomes the ellipse equation

  6. Strategy 1) Rough estimate of the coupling coefficient: fit raw data to an ellipse for given forward power 2) Calculate the coupling coefficient as a function of cavity voltage 3) Plot 3D surface: real and imag parts of the reflection coefficient and coupling coefficient 4) Take slices across the surface for fixed coupling coefficient 5) Fit a circle to the data points of the slice 6) Re-calculate the coupling coefficient as a function of cavity voltage 7) Compare to 3)

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