单轴纳米线材料中切伦科夫辐射阻止本领的解析解
Analytical solution for the stopping power of the Cherenkov radiation in a uniaxial nanowire material
摘要：
本文利用本征函数展开法导出了单轴线介质中运动带电粒子发射功率的封闭解析公式。我们的解析表达式表明，在没有材料色散的情况下，单轴线介质的阻止本领与电荷速度成正比，并且切伦科夫发射没有速度阈值。它表明，本征函数展开形式主义可以扩展到色散无损介质的情况下。此外，在存在材料分散的情况下，使发射的切伦科夫功率最大化的最佳充电速度可能小于真空中的光速。
英文摘要：
We derive closed analytical formulae for the power emitted by moving charged particles in a uniaxial wire medium by means of an eigenfunction expansion. Our analytical expressions demonstrate that in the absence of material dispersion the stopping power of the uniaxial wire medium is proportional to the charges velocity, and that there is no velocity threshold for the Cherenkov emission. It is shown that the eigenfunction expansion formalism can be extended to the case of dispersive lossless media. Furthermore, in presence of material dispersion the optimal charge velocity that maximizes the emitted Cherenkov power may be less than the speed of light in vacuum.
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