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Chaos prediction in trolling mode atomic force microscopy: analytical approach
Mohaqeqi, R
Chaos prediction in trolling mode atomic force microscopy: analytical approach
Mohaqeqi, R ; Sharif University of Technology | 2023
31
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- Type of Document: Article
- DOI: 10.1007/s00542-022-05397-3
- Publisher: Springer Science and Business Media Deutschland GmbH , 2023
- Abstract:
- Recently a novel mode of AFM called Trolling-mode AFM (TR-AFM) was developed with the ability to operate in liquid environments with an intrinsically high-quality factor. The presence of chaos in conventional tapping mode AFM severely limits the scanning speed, according to experimental and numerical observations. However, to enhance the scanning speed and imaging resolution, investigating the nonlinear dynamics of TR-AFM is imperative. The chaotic behavior is caused by highly nonlinear interaction between the tip and sample. The purpose of this research is to investigate the possibility of chaos phenomena and provide a safe range of parameters to prevent it in TR-AFM resonator. In this paper, we implemented two analytical approaches, Melnikov and multi-well potential criteria, to obtain the necessary condition for the rising of chaos in TR-AFM. Finally, the numerical techniques, including the Lyapunov exponent, Poincare map, and Fourier transforms of disturbance regions, are utilized to confirm the presence of chaotic invariant sets in the region predicted by Melnikov method. © 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature
- Keywords:
- Chaos prediction ; Atomic force microscopy ; Trolling-mode AFM (TR-AFM) ; Lyapunov exponent ; Fourier transforms
- Source: Microsystem Technologies ; Volume 29, Issue 1 , 2023 , Pages 127-140 ; 09467076 (ISSN)
- URL: https://link.springer.com/article/10.1007/s00542-022-05397-3?fromPaywallRec=true