Method to transiently detect samples in atomic force...

Details Method to transiently detect samples in atomic force... Method to transiently detect samples in atomic force...

2006-06-27

2006-06-27

Cygan, Michael (Department: 2855)

Measuring and testing

Surface and cutting edge testing

Roughness

Reexamination Certificate

active

07066014

ABSTRACT:
An approach to determine cantilever movement is presented. An observer based state estimation and statistical signal detection and estimation techniques are applied to Atomic Force Microscopes. A first mode approximation model of the cantilever is considered and a Kalman filter is designed to estimate the dynamic states. The tip-sample interaction is modeled as an impulsive force applied to the cantilever in order to detect the presence of sample. A generalized likelihood ratio test is performed to obtain the decision rule and the maximum likelihood estimation of the unknown arrival time of the sample profile and unknown magnitude of it. The use of the transient data results in sample detection at least ten times faster than using the steady state characteristics.

REFERENCES:
patent: 6845190 (2005-01-01), Smithwick et al.
Welch, G. et al. “An Introduction to the Kalman Filter”, http://web.archive.org/web/*/http://www.cs.unc.edu/˜welch/media/pdf/kalman—intro.pdf, archived on May 10, 2003.
Stark, Martin et al. “Inverting dynamic force microscopy: From signals to time-resolved interaction forces”, http://www.pnas.org/cgi/doi/10.1073/pnas.122040599, Jun. 25, 2002, vol. 99, n. 13, pp. 8473-8478.
Experimental study on active vibration control of a flexible cantilever using an artificial neural-network state predictor Woo Chun Choi et al 1996 Smart Mater. Struct. 5 751-758.

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