サトウ　ノブオ   Satoh Nobuo   佐藤　宣夫    所属   千葉工業大学  工学部 宇宙・半導体工学科    千葉工業大学  工学研究科 工学専攻    千葉工業大学  工学研究科 機械電子創成工学専攻    職種   教授
言語種別	英語
発行・発表の年月	2025/07/01
形態種別	学術雑誌
査読	査読あり
標題	Harmonic balance analysis of tip-sample interaction and coexisting solutions in dynamic atomic force microscopy
執筆形態	共著
掲載誌名	Nonlinear Theory and Its Applications, IEICE
掲載区分	国外
出版社・発行元	The Institute of Electronics, Information and Communication Engineers
巻・号・頁	16(3),pp.737-750
総ページ数	14
著者・共著者	Keiji Takada, Nobuo Satoh, Kuniyasu Shimizu
概要	This study theoretically and numerically investigates the oscillatory behavior of micro-cantilevers in an atomic force microscope (AFM) operating in dynamic mode, where the oscillations are influenced by interaction forces between the probe tip and the sample surface. We propose a single-degree-of-freedom mass-spring model incorporating the interaction force described by the Morse potential, and derive approximate theoretical solutions for this system. Our findings demonstrate that higher-order approximations of the nonlinear interaction force are crucial for accurately capturing the target amplitude range of probe oscillations, especially under varying quality-factor conditions. Furthermore, we validate the existence of coexisting solutions near the resonance frequency and analyze their basins of attraction as a function of the tip-sample distance. In addition, we confirm that unstable solutions exist together with the stable ones when multiple stable solutions coexist.
DOI	https://doi.org/10.1587/nolta.16.737