| Approximate Relativistic Solutions for One-Dimensional Cylindrical Coaxial Diode |
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| 引用本文： | 曾正中,刘国治,邵浩. Approximate Relativistic Solutions for One-Dimensional Cylindrical Coaxial Diode[J]. 等离子体科学和技术, 2002, 4(1): 1093-1100 |
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| 作者姓名： | 曾正中 刘国治 邵浩 |
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| 作者单位： | Northwest Institute of Nuclear Technology, Xi'an 710024, China |
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| 摘 要： | Two approximate analytical relativistic solutions for one-dimensional,space-chargelimited cylindrical coaxial diode are derived and utilized to compose best-fitting approximate solutions.Comparison of the best-fitting solutions with the nuerical one demonstrates an error of about 11% for cathode-inside arrangement and 12% in the cathode-outside case for ratios of larger to smaller electrode radius from 1.2 to 10 and a voltage above 0.5MV up to 5MV,With these solutions the diode lengths for critical self-magnetic bending and for the condition under which the parapotential model validates are calculated to be longer than 1 cm up to more than 100cm depending on voltage,radial dimensions and electrode arrangement.The influence of ion flow from the anode on the relativistic electron-only solution is numerically computed,indicating an enhancement factor of total diode current of 1.85 to 4.19 related to voltage,radial dimension and electrode arrangement.
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| 关 键 词： | 脉冲功率 一维圆柱同轴 二极管 近似相对论解 脉冲功率放大 |
Approximate Relativistic Solutions for One-Dimensional Cylindrical Coaxial Diode |
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| Abstract: | Two approximate analytical relativistic solutions for one-dimensional, space-chargelimited cylindrical coaxial diode are derived and utilized to compose best-fitting approximate solutions. Comparison of the best-fitting solutions with the numerical one demonstrates an error of about 11% for cathode-inside arrangement and 12% in the cathode-outside case for ratios of larger to smaller electrode radius from 1.2 to 10 and a voltage above 0.5 MV up to 5 MV. With these solutions the diode lengths for critical self-magnetic bending and for the condition under which the parapotential model validates are calculated to be longer than 1 cm up to more than 100 cm depending on voltage, radial dimensions and electrode arrangement. The influence of ion flow from the anode on the relativistic electron-only solution is numerically computed, indicating an enhancement factor of total diode current of 1.85 to 4.19 related to voltage, radial dimension and electrode arrangement. |
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