Acknowledgments
We are grateful to the National Natural Science Foundation of China (Grants No. 41827804) for financial support of this work.
[1] Wollnik H, Przewloka M. Time-of-flight mass spectrometers with multiply reflected ion trajectories. International Journal of Mass Spectrometry and Ion Processes 1990;96:267-74.
[2] Wolf RN, Beck D, Blaum K, Böhm C, Borgmann C, Breitenfeldt M, et al. On-line separation of short-lived nuclei by a multi-reflection time-of-flight device. Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment 2012;686:82-90.
[3] Ito Y, Schury P, Wada M, Naimi S, Sonoda T, Mita H, et al. Single-reference high-precision mass measurement with a multireflection time-of-flight mass spectrograph. Physical Review C 2013;88:011306.
[4] Schury P, Wada M, Ito Y, Arai F, Naimi S, Sonoda T, et al. A high-resolution multi-reflection time-of-flight mass spectrograph for precision mass measurements at RIKEN/SLOWRI. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 2014;335:39-53.
[5] Plaß WR, Dickel T, Czok U, Geissel H, Petrick M, Reinheimer K, et al. Isobar separation by time-of-flight mass spectrometry for low-energy radioactive ion beam facilities. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 2008;266:4560-4.
[6] Rosenbusch M, Wada M, Schury P, Ito Y, Ishiyama H, Ishizawa S, et al. A new multi-reflection time-of-flight mass spectrograph for the SLOWRI facility. Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms 2020;463:184-8.
[7] Schury P, Wada M, Ito Y, Kaji D, Arai F, MacCormick M, et al. First online multireflection time-of-flight mass measurements of isobar chains produced by fusion-evaporation reactions: Toward identification of superheavy elements via mass spectroscopy. Physical Review C 2017;95:011305.
[8] Nelder JA, Mead R. A Simplex Method for Function Minimization. The Computer Journal 1965;7:308-13.
[9] Rosenbusch M, Wada M, Chen S, Takamine A, Iimura S, Hou D, et al. The new MRTOF spectrograph for nuclear masses following RIBF’s ZeroDegree spectrometer, featuring new methodologies for ion selection and mirror optimization. arXiv preprint arXiv:211011507 2021.
[10] Dahl DA. simion for the personal computer in reflection. International Journal of Mass Spectrometry 2000;200:3-25.
[11] Lagarias JC, Reeds JA, Wright MH, Wright PE. Convergence Properties of the Nelder–Mead Simplex Method in Low Dimensions. SIAM Journal on Optimization 1998;9:112-47.
[12] Maehara N, Shimoda Y. Application of the genetic algorithm and downhill simplex methods (Nelder–Mead methods) in the search for the optimum chiller configuration. Applied Thermal Engineering 2013;61:433-42.
[13] Mehta VK, Dasgupta B. A constrained optimization algorithm based on the simplex search method. Engineering Optimization 2012;44:537-50.
[14] Box MJ. A New Method of Constrained Optimization and a Comparison With Other Methods. The Computer Journal 1965;8:42-52.
[15] Floc’h L. Issues of Nelder-Mead simplex optimisation with constraints. Available at SSRN 2097904 2012.
[16] Tekile HA, Fedrizzi M, Brunelli M. Constrained Eigenvalue Minimization of Incomplete Pairwise Comparison Matrices by Nelder-Mead Algorithm. Algorithms 2021;14:222.
[17] Murray K. The design and optimization of a multi-reflection time-of-flight mass-spectrometer for Barium tagging with nEXO and optimization of the Xenon-137 veto with EXO-200. 2018.
[18] Huang W-X, Tian Y-L, Wang Y-S, Wang J-Y, Zhou X-H. Optimization of multi-reflection time-of-flight mass analyzer operating in in-trap-lift mode. Radiation Detection Technology and Methods 2017;2:1.