非相对论粒子高次谐波辐射作为短波长激光的可能性

范丽仙; 罗晓华; 吴木营; 李洪涛; 罗诗裕; 邵明珠

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非相对论粒子高次谐波辐射作为短波长激光的可能性

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- 非相对论粒子高次谐波辐射作为短波长激光的可能性
- Possibility of Higher Hamornics Radiation of Nonrelativistic Particles as Short Wavelength Laser
- 发光学报 2010年31卷第5期页码：691-696
- 作者机构：
  
  1. 重庆大学电气工程学院重庆,400044
  2. 东莞理工学院电子工程学院, 广东东莞 523106
  3. 重庆交通大学图书馆, 重庆 400074
- 作者简介：
- 基金信息：
  
  广东省自然科学基金(8151170003000010)资助项目()
- DOI：
  中图分类号： TN241;O432.1+2
- 纸质出版日期：2010-9-21，
  
  网络出版日期：2010-9-21，
  
  收稿日期：2010-1-27，
  
  修回日期：2010-3-22，
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范丽仙, 罗晓华, 吴木营, 李洪涛, 罗诗裕, 邵明珠. 非相对论粒子高次谐波辐射作为短波长激光的可能性[J]. 发光学报, 2010,31(5): 691-696

FAN Li-xian, LUO Xiao-hua, WU Mu-ying, LI Hong-tao, LUO Shi-yu, SHAO Ming-zhu. Possibility of Higher Hamornics Radiation of Nonrelativistic Particles as Short Wavelength Laser[J]. 发光学报, 2010,31(5): 691-696
范丽仙, 罗晓华, 吴木营, 李洪涛, 罗诗裕, 邵明珠. 非相对论粒子高次谐波辐射作为短波长激光的可能性[J]. 发光学报, 2010,31(5): 691-696 DOI：

FAN Li-xian, LUO Xiao-hua, WU Mu-ying, LI Hong-tao, LUO Shi-yu, SHAO Ming-zhu. Possibility of Higher Hamornics Radiation of Nonrelativistic Particles as Short Wavelength Laser[J]. 发光学报, 2010,31(5): 691-696 DOI：

摘要

在经典力学框架内

把粒子在周期外场中的运动方程化为摆方程

利用广义三角函数的Bessel展开讨论了系统存在高次谐波辐射的可能性

并在固定力矩情况下讨论了系统的基本特征。用Jacobian椭圆函数和第一类椭圆积分解析地给出了无扰动系统的解和振动周期

并用数值方法分析了系统的相平面特征和它的稳定性。结果表明:当外力矩为零时

系统的接受度最大

俘获的电子数最多

辐射强度最强;随着外力矩增加

接受度降低;当无量纲的外力矩为1时

接受度为零

系统处于临界状态。临界状态与系统参数有关

只需适当调节参数

可望输出强度比较大的高次谐波辐射。

Abstract

In the classical mechanics frame

the particle motion equation in the periodic field is reduced to a pendulum equation

a possibility of the existence of a higher harmonic radiation is discussed by using Bessel function expansion of a generalized trigonometrical function

and the system basic characteristic in the fixing moment situation was discussed. Analytically going the equation solution and the period of vibration for the non-perturbed system by the Jacobian elliptic function and the first kind of elliptic integral

also analyzing the system phase plane characteristic and its stability with the numerical method.The result show that when the moment is zero

the system acceptance is maximum

the capture electronic number is the most

and the radiation intensity is the biggest. Increases along with the moment

acceptance reduces. When the value of dimensionless moment is 1

acceptance is the zero

the system is at the critical condition. Critical condition is related to system para-meter. Only obtaining the suitable adjustment parameter

it were hopeful to obtain higher harmonic radiation with the bigger intensity.

关键词

非相对论粒子高次谐波辐射摆方程相运动贝塞尔函数

Keywords

nonrelativistic particlehigher harmonic radiationpendulum equationphase motionBessel function

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