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According to Runge-Kutta theory, in this paper we present a new algorithm of calculating the eigenmodes of gyrotron resonators. Different from in the traditional algorithm, all properties of the eigenmodes can be determined by solving the minimum of a function with two variables, namely the resonant frequency and Q factor, in the new algorithm. Through examples of numerical calculation, it is verified that the calculation efficiency of the new algorithm is much higher than the traditional algorithm.
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Keywords:
- gyrotron /
- algorithm /
- eigenmode /
- calculation efficiency
[1] Dumbrajs O, Nusinovich G S 2004 IEEE Tran. Plasma Sci. 32 934
[2] Yu S, Li H F, Xie Z L, Luo Y 2001 Acta Phys.Sin. 50 1979(in Chinese) [喻 胜、李宏福、谢仲怜、罗 勇 2008 50 1979]
[3] Xu Y C, Xue S W, Liu Y, Xu D M, Guo G C, Ding X T, Chen M W, Yu L M, Jiang X F, Li X D, Deng X W, Wang E Y, Yang S Z,Yao X Z, Rozhdestvensky V V, Shishkin B V, Malygin V I 1995 Chin. Phys. 4 39
[4] Du C H, Liu P K, Xue Q Z 2010 Chin. Phys. B 19 048703
[5] Nusinovich G S, Read M E, Dumbrajs O, Kreischer K E 1994 IEEE Tran. Elec. Dev. 41 433
[6] Borie E, Dumbrajs O 1986 International Journal of Electronics 60 143
[7] Fliflet A W, Lee R C, Read M E 1988 International Journal of Electronics 65 273
[8] Dumbrajs O, Borie E, Read M E 1988 International Journal of Electronics 65 285
[9] Yang S, Li H F, 1996 International Journal of Infrared and Millimeter Waves 16 1895
[10] Yang S W 2000 Ph. D. Dissertation (Chengdu: University of Electronic Science and Technology of China)(in Chinese) [杨仕文 2000 博士学位论文(成都: 电子科技大学)]
[11] Chen B L 2005 Optimization Theory and Algorithm (2st ed) (Beijing: Tsinghua University Press) p349 (in Chinese) [陈宝林 2005 最优化理论与算法 (北京:清华大学出版社) 第349页]
[12] He G Y, Gao Y L 2002 Visual Fortran Common Numerical Algorithm Set (Beijing: Science Press) p423 (in Chinese) [何光渝 高永利 2002 Visual Fortran 常用数值算法集 (北京: 科学出版社) 第423页]
[13] Li H F, Xie Z L, Wang W 2003 IEEE Tran. Plasma Sci.31 264
[14] Liu R, Li H F, 2010 International Journal of Infrared and Millimeter Waves 31 995
[15] Ma Z H 2003 Modern Applied Mathematics Mannual (Computation And Numerical Analysis Volume) (3st ed) (Beijing: Tsinghua University Press) p611 (in Chinese) [马振华 2007 现代应用数学手册(计算与数值分析卷)(北京:清华大学出版社) 第611页]
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[1] Dumbrajs O, Nusinovich G S 2004 IEEE Tran. Plasma Sci. 32 934
[2] Yu S, Li H F, Xie Z L, Luo Y 2001 Acta Phys.Sin. 50 1979(in Chinese) [喻 胜、李宏福、谢仲怜、罗 勇 2008 50 1979]
[3] Xu Y C, Xue S W, Liu Y, Xu D M, Guo G C, Ding X T, Chen M W, Yu L M, Jiang X F, Li X D, Deng X W, Wang E Y, Yang S Z,Yao X Z, Rozhdestvensky V V, Shishkin B V, Malygin V I 1995 Chin. Phys. 4 39
[4] Du C H, Liu P K, Xue Q Z 2010 Chin. Phys. B 19 048703
[5] Nusinovich G S, Read M E, Dumbrajs O, Kreischer K E 1994 IEEE Tran. Elec. Dev. 41 433
[6] Borie E, Dumbrajs O 1986 International Journal of Electronics 60 143
[7] Fliflet A W, Lee R C, Read M E 1988 International Journal of Electronics 65 273
[8] Dumbrajs O, Borie E, Read M E 1988 International Journal of Electronics 65 285
[9] Yang S, Li H F, 1996 International Journal of Infrared and Millimeter Waves 16 1895
[10] Yang S W 2000 Ph. D. Dissertation (Chengdu: University of Electronic Science and Technology of China)(in Chinese) [杨仕文 2000 博士学位论文(成都: 电子科技大学)]
[11] Chen B L 2005 Optimization Theory and Algorithm (2st ed) (Beijing: Tsinghua University Press) p349 (in Chinese) [陈宝林 2005 最优化理论与算法 (北京:清华大学出版社) 第349页]
[12] He G Y, Gao Y L 2002 Visual Fortran Common Numerical Algorithm Set (Beijing: Science Press) p423 (in Chinese) [何光渝 高永利 2002 Visual Fortran 常用数值算法集 (北京: 科学出版社) 第423页]
[13] Li H F, Xie Z L, Wang W 2003 IEEE Tran. Plasma Sci.31 264
[14] Liu R, Li H F, 2010 International Journal of Infrared and Millimeter Waves 31 995
[15] Ma Z H 2003 Modern Applied Mathematics Mannual (Computation And Numerical Analysis Volume) (3st ed) (Beijing: Tsinghua University Press) p611 (in Chinese) [马振华 2007 现代应用数学手册(计算与数值分析卷)(北京:清华大学出版社) 第611页]
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