Some problems of mathematical simulation in optimization design of electrostatic image tubes

LiWei Zhou; Zhiquan Zhang; Weiqi Jin; Erlun Fang; GuoQiang Ni; Liangzhong Zhang

doi:10.1117/12.221567

25 September 1995 Some problems of mathematical simulation in optimization design of electrostatic image tubes

LiWei Zhou, Zhiquan Zhang, Weiqi Jin, Erlun Fang, GuoQiang Ni, Liangzhong Zhang

Author Affiliations +

Proceedings Volume 2522, Electron-Beam Sources and Charged-Particle Optics; (1995) https://doi.org/10.1117/12.221567
Event: SPIE's 1995 International Symposium on Optical Science, Engineering, and Instrumentation, 1995, San Diego, CA, United States

Abstract

Three problems of mathematical simulation have been discussed in the present paper when optimizing the electron optical system of electrostatic image tubes. The multigrid method (MGM) is suggested for solving the rotational symmetrical electrostatic field, it proves that the computational efficiency of MGM is 2 - 4 times better than the traditional finite difference method when the same accuracy of iteration is reached. The constrained variable metric method, which ensures the design to have fast convergency, high efficiency and lesser number of times of calling for objective function, is recommended for optimization design. The objective function having a least-square-fit form with weight factors is investigated for the problem of nonlinear multi-objective optimization. The result of optimization appears that the suggested mathematical methods given in the paper for optimization design of electrostatic image tubes are practical and effective ones.

Citation Download Citation

LiWei Zhou, Zhiquan Zhang, Weiqi Jin, Erlun Fang, GuoQiang Ni, and Liangzhong Zhang "Some problems of mathematical simulation in optimization design of electrostatic image tubes", Proc. SPIE 2522, Electron-Beam Sources and Charged-Particle Optics, (25 September 1995); https://doi.org/10.1117/12.221567

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