Regensburg 2016 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 37: Nonlinear Dynamics, Synchronization and Chaos

DY 37.4: Vortrag

Mittwoch, 9. März 2016, 10:45–11:00, H48

A combined time averaging and frequency mixing approach to parameter identification in nonlinear response — •Si Mohamed Sah, Daniel Forchheimer, Riccardo Borgani, and David B. Haviland — Royal Institute of Technology KTH, Applied Physics SE - 106 91 Stockholm Sweden

We present a method for identifying the parameters of a model describing the tip-sample interaction force in Intermodulation Atomic Force Microscopy (ImAFM). The method uses analytic expressions for the slow-time amplitude and phase evolution, obtained from time-averaging over the rapidly oscillating part of the cantilever dynamics. The slow-time behavior can be easily obtained in the experiment by down-shifting the measured intermodulation spectrum that results when a high-Q resonator is perturbed by nonlinearity. A direct fit of the theoretical expressions to the experimental data gives the best-fit parameters for the model. The method combines and complements previous work [1,2] and it allows for computationally more efficient parameter mapping with ImAFM. Results for both simulation and experiment are shown.

References:

1) Platz, D., Forchhheimer, D., Tholen, E. A. & Haviland, D. B., Interaction imaging with amplitude-dependence force spectroscopy. Nat. Commun. 4, 1360 (2013).

2) Forchheimer, D., Platz, D., Tholen, E. A. & Haviland, D., Model-based extraction of material properties in multifrequency atomic force microscopy. Phys. Rev. B 85, 195449 (2012).