Calculation of Microwave Breakdown Electric Field Using the Equivalent Characteristic Diffusion Length

doi:10.7652/xjtuxb201304001

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Calculation of Microwave Breakdown Electric Field Using the Equivalent Characteristic Diffusion Length

更新时间：2025-07-09

- Calculation of Microwave Breakdown Electric Field Using the Equivalent Characteristic Diffusion Length
- Vol. 47, Issue 4, Pages: 1-5+16(2013)
- 作者机构：
  
  1. 西安交通大学电子与信息工程学院,西安,710049
  2. 空间微波技术重点实验室,西安,710000
- 作者简介：
- 基金信息：
- DOI：10.7652/xjtuxb201304001
  CLC： TN13
- Online First：10 April 2013，
  
  Published：2013
- 稿件说明：
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Calculation of Microwave Breakdown Electric Field Using the Equivalent Characteristic Diffusion Length[J]. 2013, 47(4): 1-5+16.
DOI：

Calculation of Microwave Breakdown Electric Field Using the Equivalent Characteristic Diffusion Length[J]. 2013, 47(4): 1-5+16. DOI： 10.7652/xjtuxb201304001.

摘要

为解决气压较低时

由扩散控制的击穿模型计算出的微波击穿电场误差较大

甚至与实验趋势不符的问题

提出了用等效特征扩散长度计算击穿电场的方法。该方法将实际特征扩散长度与电子平均自由程结合起来

使电子碰撞概率较高

以满足击穿模型在低气压下的使用要求。分析等效特征扩散长度与击穿阈值的关系

得出了等效特征扩散长度的表达式

并依此计算了平板系统中空气的微波击穿电场。用该方法所得的计算结果与实验结果相符

当频率为0.994 GHz、电极间隙为1.98 cm、气压为6.65 Pa时

计算误差仅是采用实际特征扩散长度时误差的11%。计算与实验结果都表明:随着气压的下降

击穿电场将升高并趋于一个固定值。

Abstract

A method to calculate the breakdown electric field using the equivalent characteristic diffusion length is proposed to eliminate the large deviation in value and even in tendency between the microwave breakdown electric field calculated by the diffusion-controlled breakdown mode and the experiment in the lower pressure. The method combines the actual characteristic diffusion length with the electron mean free path

so that the electron collision probability has a higher value to meet the requirements of the breakdown mode used in the lower pressure. The relation between the equivalent characteristic diffusion length and the breakdown threshold is analyzed to give an expression of the equivalent characteristic diffusion length

and then the microwave breakdown electric field in air for parallel plate discharge system is calculated. The results show that the breakdown electric field calculated by the method agrees well with the experimental data both in tendency and in value

and when the frequency is 0.994 GHz

the electrode gap is 1.98 cm and the pressure is 6.65 Pa

the calculation error is only 11% of the error with the actual characteristic diffusion length being used. Both the calculation and the experiment results also show that the breakdown electric field increases and tends to a fixed value when the gas pressure decreases.

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references

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