The paper addresses the problem of evaluating magnitude bounds on higher harmonics of the periodic tip oscillation in an Atomic Force Microscope (AFM). The suggested approach considers a class of nonlinearities well suited to the tip-sample interaction in AFMs, and reduces the bounding problem to an optimization problem. For a relaxation of the problem a solution in a closed form is provided and reduces the conservativeness of estimates existing in literature.
Harmonic Bounds in Atomic Force Microscopy / D. MATERASSI; M. SALAPAKA; M. BASSO. - ELETTRONICO. - (2005), pp. 8221-8226. (Intervento presentato al convegno IEEE Conference on Decision and Control - European Control Conference tenutosi a Siviglia (ESP) nel 2005) [10.1109/CDC.2005.1583493].
Harmonic Bounds in Atomic Force Microscopy
MATERASSI, DONATELLO;BASSO, MICHELE
2005
Abstract
The paper addresses the problem of evaluating magnitude bounds on higher harmonics of the periodic tip oscillation in an Atomic Force Microscope (AFM). The suggested approach considers a class of nonlinearities well suited to the tip-sample interaction in AFMs, and reduces the bounding problem to an optimization problem. For a relaxation of the problem a solution in a closed form is provided and reduces the conservativeness of estimates existing in literature.
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