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Structure optimization of linear resonance accelerators by sensitivity functions

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Abstract

An algorithm is proposed for optimizing linear accelerator structure parameters using sensitivity functions and practical stability methods. This approach takes into account the actual perturbations of particle trajectories as a function of the computational parameters, analyzes the distribution of system parameter tolerances, and performs optimization with allowance for these factors. Numerical results for specific optimization problems of beam dynamics at the outlet are reported.

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Literature cited

  1. F. P. Vasil'ev, Lectures on Methods of Solution of Extremal Problems [in Russian], Moscow State Univ. (1984).

  2. F. G. Garashchenko, “A numerical approach to solving stability problems on a finite time interval,” Dokl. Akad. Nauk UkrSSR, Ser. A, No. 11, 78–81 (1981).

    Google Scholar 

  3. F. G. Garashchenko and L. A. Pantalienko, “Practical stability in solution of problems of sensitivity theory,” in: Modeling and Optimization of Complex Systems [in Russian], No. 3 (1984), pp. 51–56.

    Google Scholar 

  4. V. F. Dem'yanov and V. N. Mamozemov, An Introduction to Minimax [in Russian], Nauka, Moscow (1972).

    Google Scholar 

  5. N. F. Kirichenko, An Introduction to the Theory of Motion Stabilization [in Russian], Vishcha Shkola, Kiev (1978).

    Google Scholar 

  6. B. P. Murin, B. I. Bondarev, V. V. Kushin, and A. P. Fedotov, Linear Ion Accelerators: Problems and Theory [in Russian], Vol. I, Atomizdat, Moscow (1978).

    Google Scholar 

  7. D. A. Ovsyannikov, Mathematical Methods of Beam Control [in Russian], Leningrad Slate Univ. (1980).

  8. E. N. Rozenvasser and R. M. Yusupov, Sensitivity of Control Systems [in Russian], Nauka, Moscow (1981).

    Google Scholar 

  9. R. P. Fedorenko, Approximate Solutions of Optimal Control Problems [in Russian], Nauka, Moscow (1978).

    Google Scholar 

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Authors and Affiliations

  1. Kiev University, USSR

    L. A. Pantalienko

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  1. L. A. Pantalienko
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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 58, pp. 100–106, 1986.

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Pantalienko, L.A. Structure optimization of linear resonance accelerators by sensitivity functions. J Math Sci 58, 470–475 (1992). https://doi.org/10.1007/BF01100077

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  • DOI: https://doi.org/10.1007/BF01100077

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