Numerical Optimization of the Cusp Gun for a $W$ -Band Second-Harmonic Gyro-TWA

This paper is intended to propose the numerical methodology in optimizing the cusp gun for a 70-kV, 1-A W-band gyrotron traveling wave amplifier working at the second-harmonic TE21 mode. Two numerical methods using the simulated annealing algorithm (SAA) and genetic algorithm (GA) are adopted to perform the gun optimization. Classical electron optics software EGUN is employed to compute the beam trajectories. Maintaining the velocity ratio around 1.6, the axial velocity spreads optimized by SAA and GA are 1.44% and 0.33%, respectively, which means a great improvement compared with the manually optimized value of 2.78%. An analysis of the impact of parametric fluctuation on beam quality indicates that this cusp gun can be stably operated within a reasonable parameter scope. This paper will help to enhance the efficiency of electron gun design for gyrotron devices.

[1]  Wenlong He,et al.  Design and Numerical Optimization of a Cusp-Gun-Based Electron Beam for Millimeter-Wave Gyro-Devices , 2009, IEEE Transactions on Plasma Science.

[2]  Sankar K. Pal,et al.  Genetic algorithms for optimal image enhancement , 1994, Pattern Recognit. Lett..

[3]  David B. McDermott,et al.  Marginal stability design criterion for gyro-TWTs and comparison of fundamental with second harmonic operation , 1992 .

[4]  Barrie M. Baker,et al.  A genetic algorithm for the vehicle routing problem , 2003, Comput. Oper. Res..

[5]  Tung-Kuan Liu,et al.  Hybrid Taguchi-genetic algorithm for global numerical optimization , 2004, IEEE Transactions on Evolutionary Computation.

[6]  K. Chu The electron cyclotron maser , 2004 .

[7]  K. Chu,et al.  Overview of research on the gyrotron traveling-wave amplifier , 2002 .

[8]  W. B. Herrmannsfeldt,et al.  EGUN: An electron optics and gun design program , 1988 .

[9]  David B. McDermott,et al.  Stable 2 MW, 35 GHz, third-harmonic TE/sub 41/ gyro-TWT amplifier , 1998 .

[10]  Yong Luo,et al.  Magnetron injection gun design for a Q-band 300 kW 30 A gyrotron traveling wave tube , 2015 .

[11]  Adrian W. Cross,et al.  A cusp electron gun for millimeter wave gyrodevices , 2010 .

[12]  J.R.M. Vaughan Synthesis of the Pierce gun , 1981, IEEE Transactions on Electron Devices.

[13]  G. Denisov,et al.  Ka-Band Gyrotron Traveling-Wave Tubes With the Highest Continuous-Wave and Average Power , 2014, IEEE Transactions on Electron Devices.

[14]  David A. Gallagher,et al.  High-power cusp gun for harmonic gyro-device applications , 2000 .

[15]  Chandrasekharan Rajendran,et al.  A multi-objective simulated-annealing algorithm for scheduling in flowshops to minimize the makespan and total flowtime of jobs , 2005, Eur. J. Oper. Res..

[16]  Manfred Thumm,et al.  Novel Applications of Millimeter and Submillimeter Wave Gyro-Devices , 2001 .

[17]  Wei Jiang,et al.  Genetic Algorithm-Based Shape Optimization of Modulating Anode for Magnetron Injection Gun With Low Velocity Spread , 2015, IEEE Transactions on Electron Devices.

[18]  N. Metropolis,et al.  Equation of State Calculations by Fast Computing Machines , 1953, Resonance.

[19]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[20]  Colin R. Reeves,et al.  A genetic algorithm for flowshop sequencing , 1995, Comput. Oper. Res..

[21]  David B. McDermott,et al.  Design of a W-band second-harmonic TE/sub 02/ gyro-TWT amplifier , 2000 .

[22]  Attahiru Sule Alfa,et al.  A 3-OPT based simulated annealing algorithm for vehicle routing problems , 1991 .

[23]  Adrian W. Cross,et al.  Axis-encircling electron beam generation using a smooth magnetic cusp for gyrodevices , 2008 .

[24]  John Robinson Pierce,et al.  Theory and Design of Electron Beams , 1954 .

[25]  W. Lawson,et al.  Magnetron injection gun (MIG) design for gyrotron applications , 1986 .

[26]  Y. S. Yeh,et al.  Magnetron injection gun for a broadband gyrotron backward-wave oscillator , 2009 .

[27]  N. Luhmann,et al.  Cusp gun TE/sub 21/ second-harmonic Ka-band gyro-TWT amplifier , 2002 .

[28]  Udaybir Singh,et al.  Design of Electron Gun for 1.5 MW, 140 GHz Gyrotron , 2011 .

[29]  Gregory S. Nusinovich,et al.  Invited paper. Powerful millimetre-wave gyrotrons , 1981 .

[30]  P Willett,et al.  Development and validation of a genetic algorithm for flexible docking. , 1997, Journal of molecular biology.

[31]  Ujjwal Maulik,et al.  Genetic algorithm-based clustering technique , 2000, Pattern Recognit..

[32]  Udaybir Singh,et al.  Magnetron Injection Gun for a Short Pulse, 0.67 THz Gyrotron for Remote Detection of Radioactive Materials , 2014, IEEE Transactions on Terahertz Science and Technology.

[33]  Sandro Ridella,et al.  Minimizing multimodal functions of continuous variables with the “simulated annealing” algorithmCorrigenda for this article is available here , 1987, TOMS.