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Electromagnetic field of a moving charge in the presence of a left-handed medium

机译:左手介质存在时运动电荷的电磁场

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We analyze the electromagnetic field of a moving point charge in the presence of a "left-handed" medium (LHM). First, the case of uniform motion of the charge in infinite LHM was considered. Using complex function theory methods, we decomposed the total field into a "quasi-Coulomb" field, a wave field (Cherenkov radiation) and a "plasma trace." In addition, an effective numerical algorithm was developed for the total field computation, and typical plots were presented. It was shown that the wave field in LHM lags behind the charge more so than it does in ordinary medium. Furthermore, we investigated a charge intersecting the interface between vacuumlike medium and LHM. Asymptotic expressions for the field components were obtained and algorithms for their computation were developed. The spatial radiation can be separated into three distinct components, corresponding to ordinary transition radiation with a relatively large magnitude, Cherenkov radiation and reversed Cherenkov-transition radiation (RCTR). Rigorous conditions for generating RCTR were obtained: RCTR in the vacuum area was found to be the double threshold effect in both frequency and charge velocity domain. The RCTR decay in vacuum due to the losses in LHM was studied. Areas of the RCTR significance were determined and were found to be sufficiently large for observation. Possible applications to the beam diagnostics and the characterization of metamaterials were suggested.
机译:我们分析了存在“左手”介质(LHM)时移动点电荷的电磁场。首先,考虑了无限LHM中电荷均匀运动的情况。使用复杂函数理论方法,我们将整个场分解为“准库仑”场,波场(切伦科夫辐射)和“等离子体轨迹”。此外,开发了一种有效的数值算法来进行全场计算,并给出了典型的图。结果表明,与普通介质相比,LHM中的波场滞后于电荷。此外,我们研究了与真空样介质和LHM之间的界面相交的电荷。获得了场分量的渐近表达式,并开发了计算它们的算法。空间辐射可以分为三个不同的分量,分别对应于具有较大幅度的普通跃迁辐射,切伦科夫辐射和反向切伦科夫跃迁辐射(RCTR)。获得了产生RCTR的严格条件:真空区域的RCTR被发现是频率和电荷速度域的双阈值效应。研究了由于LHM损失造成的真空下RCTR衰减。确定了具有RCTR重要意义的区域,发现该区域足够大以便观察。建议在射线诊断和超材料的表征中可能的应用。

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