带电粒子穿过导电介质和真空之间的平面边界所产生的电磁振荡的特性

Levon Grigoryan, A. Mkrtchyan, H. Khachatryan, M. L. Grigoryan, A. V. Sargsyan, Petros Hovhannes Mosoyan
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摘要

本文研究了当带电粒子穿过导电介质和垂直于该边界的真空之间的平面边界时,直线均匀运动的带电粒子所产生的电磁振荡的特性。本研究以Maxwell方程的相关精确解析解为基础,在数值计算中采用广义Drude-Lorentz-Sommerfeld公式计算导电介质的介电函数。我们的研究结果表明,带电粒子可以在电场中产生振幅较大的振荡,其中色散现象是必不可少的,并且导电材料的介电函数的实部为负。结果进一步表明,这些振荡局限于导电介质和真空的平面边界。本文还讨论了利用这种现象在距离有限尺寸的导电介质表面很远的地方产生电磁辐射的可能性。
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PECULIARITIES OF ELECTROMAGNETIC OSCILLATIONS GENERATED BY A CHARGED PARTICLE CROSSING THE PLANAR BOUNDARY BETWEEN A CONDUCTING MEDIUM AND A VACUUM
The peculiarities of electromagnetic oscillations generated by a charged particle moving rectilinearly and uniformly have been studied when the particle crosses a planar boundary between a conducting medium and a vacuum perpendicular to that boundary. This study is based on the relevant exact analytical solutions of Maxwell equations, and the generalized Drude–Lorentz–Sommerfeld formula has been used for the dielectric function of conducting medium in the numerical calculations. The results of our investigation indicated that a charged particle may generate large amplitude oscillations in an electric field at frequencies wherein the dispersion phenomenon is essential and the real part of the conducting material’s dielectric function is negative. The results further revealed that these oscillations are localized at the planar boundary of the conducting medium and a vacuum. The possibility of using this phenomenon to generate electromagnetic radiation at large distances from the surface of a conducting medium of finite size is also discussed.
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