Stochastic simulation of tip-sample interactions in atomic force microscopy
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Outline of the simulated hydration experiment. The spectral densities in (a) were used to simulate time-domain data (b). Displacement noise causes an imperfect stiffness profile seen by the cantilever tip (c), and the force noise adds to the driven cantilever oscillations (d). Detection noise has no measurable impact on the outcome of this experiment. The magnitude and phase response of the cantilever was measured (e), and used to extract the stiffness and damping profiles (f). White lines in (c-e-f) relate to ideal (noiseless) measurements. The results of 100 simulations are available in supplementary material.27 Note that the “force noise” in this figure was plotted as the cantilever displacement driven by force noise, in order to cast all noise types onto the same units for plotting purposes.
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