Theory of high-frequency waves in a coaxial plasma wave guide

Theory of high-frequency waves in a coaxial plasma wave guide
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同轴等离子体波导中的高频波理论

DOI:
10.1063/1.873641
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发表时间:
1999
期刊:
影响因子:
2.2
通讯作者:
J. E. Willett
J. E. Willett
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
B. Maraghechi;B. Farrokhi;J. E. Willett

文献摘要

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对包含磁化环形等离子体柱的同轴波导的高频本征模式进行了分析。超越方程是根据等于零的八阶行列式形式的边界条件导出的。联立求解该行列式方程和从波动方程导出的多项式方程可得出本征模的色散关系。通过降低行列式的阶数,对于某些特殊情况(例如部分填充的同轴波导)可以轻松获得适当的超越方程。还介绍了同轴圆柱形波导的静电处理。相应的超越方程被简化为一些特殊情况,例如,静电近似下包含环形等离子体柱的传统波导。获得了一些方位对称 EH(扰动 TM)和 HE(扰动 TE)波导模式、回旋加速器模式和空间电荷模式的数值解。一个强大的...
An analysis of the high-frequency eigenmodes of a coaxial wave guide containing a magnetized annular plasma column is presented. A transcendental equation is derived from the boundary conditions in the form of an eighth-order determinant equated to zero. Simultaneous solution of this determinantal equation and a polynomial equation derived from the wave equation yields the dispersion relations for the eigenmodes. By reduction of the order of the determinant the appropriate transcendental equation is easily obtained for some special cases, e.g., partially filled coaxial wave guide. The electrostatic treatment of a coaxial cylindrical wave guide is also presented. The corresponding transcendental equation is reduced to some special cases, e.g., conventional wave guide containing an annular plasma column under electrostatic approximation. Numerical solutions are obtained for some azimuthally symmetric EH (perturbed TM) and HE (perturbed TE) wave guide modes, cyclotron modes, and space-charge modes. A strong ...