Differential algebraic method for time of flight property of electrostatic electron lenses |
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Authors: | Min Cheng Yilong Lu Zhenhua Yao |
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Institution: | a School of Electrical & Electronic Engineering, Nanyang Technological University, 639798 Singapore, Singapore b Department of Assets, Linyi Teachers University, Linyi 276005, China c Singapore-MIT Alliance, National University of Singapore, 119260 Singapore, Singapore |
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Abstract: | Differential algebraic method is a powerful technique in computer numerical analysis. It presents a straightforward method for computing arbitrary order derivatives of functions with extreme high accuracy limited only by the truncation error of the computer. When applied to nonlinear dynamical systems, the arbitrary high-order transfer properties of the systems can be computed directly with high precision. In this article, the time of flight (TOF) property of electrostatic electron lens systems is studied by differential algebraic method and their arbitrary order TOF transfer properties can be numerically calculated. As an example, Schiske's model electrostatic lens has been studied by the efficient differential algebraic TOF method. |
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Keywords: | Differential algebraic method Time of flight Electrostatic electron lenses Schiske's lens |
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