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The theories of the feedback and vibration isolation systems have been developed to illuminate the essential points in the design and operation of the scanning tunneling microscope (STM). By analyzing a delay differential equation, we can understand the behavior of feedback and estimate the necessary gain and time constant for the best performance of the STM. Design considerations for a vibration isolation system consisting of spring suspension and magnetic damping are discussed with theoretical optimization.
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Park et al. (1987) studied this question.
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