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Dr. Andrew Dick

Nonlinear Dynamics in Tapping-Mode Atomic Force Microscopy

In this project, the tapping-mode operation of amplitude modulation atomic force microscopy (AFM) is being studied. Due to the nature of this system, intrinsic nonlinearities exist which can significantly affect the performance of the system. These exist in the form of the nonlinear atomic interaction forces and in the discontinuous boundary condition resulting from the periodic application of this force. Some of the limitations of these systems include potential bistable behavior, resulting from these nonlinearities, as well as the ability of the system to study “soft” samples. Through studying this system with a wide range of nonlinear analysis tools, the behavior is studied and methods are developed to improve performance. This study includes analytical modeling, numerical simulation, and experimental verification with appropriate analyses incorporated into each phase of the study. The objective of this project is to gain a better understanding of this complex nonlinear system and to utilize this knowledge in order to improve the performance of the system for the benefit of a wide range of research areas.

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