Features of Propagation of Standing Electromagnetic and Electron Waves in a Metallic Conductor with Alternating Conduction Current

M. I. Baranov
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Abstract

Approximate calculations were made to identify the main features of the propagation of standing transverse electromagnetic waves (EMWs) and standing longitudinal de Broglie electron waves in a homogeneous non-massive non-magnetic metallic conductor of finite dimensions (radius r0 and length l0r0) with axial alternative conduction current i0(t) of different amplitude–time parameters. Relations were obtained for the calculation estimation of averaged propagation velocities of standing transverse EMWs and standing longitudinal de Broglie electron waves in the metal (alloy) of the specified conductor. It was demonstrated that quantized standing transverse EMWs emerging in the finite-sized metallic conductor significantly differ from ordinary transverse EMWs propagating in conducting media of unlimited dimensions. An important characteristic of the standing transverse EMWs in the considered conductor is that their axial electric field intensity leads in phase their azimuthal magnetic field intensity by an angle of π/2. It was found that, in the standing transverse EMWs in the investigated conductor, the energy of the electric field is only converted into the energy of their magnetic field and vice versa. Therefore, the standing transverse EMWs do not transfer electromagnetic energy fluxes along the metal (alloy) of the considered conductor.

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有交变传导电流的金属导体中驻留电磁波和电子波的传播特征
摘要-进行了近似计算,以确定驻留横向电磁波和驻留纵向德布罗格利电子波在有限尺寸(半径 r0 和长度 l0 ⪢ r0)的均质非无量非磁性金属导体中传播的主要特征,该导体具有不同振幅-时间参数的轴向替代传导电流 i0(t)。计算得到了驻留横向电磁波和驻留纵向德布罗意电子波在指定导体金属(合金)中的平均传播速度的估算关系。结果表明,在有限尺寸金属导体中出现的量子化驻留横向电磁波与在无限尺寸导电介质中传播的普通横向电磁波有很大不同。在所考虑的导体中,驻留横向电磁波的一个重要特征是其轴向电场强度与方位磁场强度的相位成 π/2 角。研究发现,在所研究导体中的驻留横向电磁波中,电场能量只转化为磁场能量,反之亦然。因此,驻留的横向电磁波不会沿着导体的金属(合金)传递电磁能量通量。
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来源期刊
Surface Engineering and Applied Electrochemistry
Surface Engineering and Applied Electrochemistry Engineering-Industrial and Manufacturing Engineering
CiteScore
1.60
自引率
22.20%
发文量
54
期刊介绍: Surface Engineering and Applied Electrochemistry is a journal that publishes original and review articles on theory and applications of electroerosion and electrochemical methods for the treatment of materials; physical and chemical methods for the preparation of macro-, micro-, and nanomaterials and their properties; electrical processes in engineering, chemistry, and methods for the processing of biological products and food; and application electromagnetic fields in biological systems.
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