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Spline Standards And Spline Calculation.pdf [REPACK]

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Spline Standards And Spline Calculation.pdf

All sense RI films are from the same batch of a nominal thickness of 75 nm. We’ve measured these films and found that sense RI change as a function of scan rate, and the measured sensitivity was between 26 nm/RIU/min and 40 nm/RIU/min. These values were used in 2-dimensional image analysis to obtain RA values.

PSF phase shifts are caused by target motion and changes in air density due to breathing. For this reason, time-series phase shifts are recorded at the beginning of each experiment. This allows for the PSF to be determined at later dates and is useful when analyzing experiments performed over long periods. Because the time-resolution of the experiments is low, the PSF phase shift resolution is of the same order as the direct motion of the 30 µm target stage. Under these conditions the target phase shifts are linearly proportional to the motion so it is straightforward to calculate a correction of the target motion to the PSF reference frame

An analysis of the results of the calibration procedure was performed to validate the calculated position error expressed in the angle of the spline tooth with respect to the force axis. The mean AR of the fit residual was obtained by averaging over the pixels in all images of the datasets. For the samples under study, the AR was between 10 and 100 nm. This is significantly higher than the AR obtained by averaging over the entire PSF image (typically around 30 nm). We believe that this is caused by the phase shifts of the spline teeth in the PSF, which have opposite signs from the PSF center.

Time-varying alignment in the four channels of Geiger mode is achieved by deamplifying pixel-to-pixel variations and averaging them over time. The detector signal increases during each cycle to the maximum amplitude of 80 R at 50 % detection efficiency. The detector then yy’s, decreasing the signal below threshold. The timing of this detector cycling is controlled using a fast oscillator running at the detector frequency (4 GHz).

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Spline Standards And Spline Calculation.pdf [REPACK]

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