论文标题
平面和圆形几何形状中的轴子和非轴基电动力学
Axionic and nonaxionic electrodynamics in plane and circular geometry
论文作者
论文摘要
在存在同质和各向同性介电介质的情况下，轴支电动力学的各个方面。 1。我们首先考虑轴支电动力学中平面介电表面的“天线样”特性，并详细介绍了Millar {\ it等人}（2017年）对该主题的早期处理的处理。我们计算介电板的电磁能传输系数，并与普通电动力学中的常规表达进行比较。 2。我们考虑的情况是，假定弹性的培养基外部被“弯曲”并粘合在一起，因此我们获得了一个圆形介电串，其中波可以使波顺时针或逆时针传播。如将表明的那样，形式主义允许固定波模式，我们展示了如何找到两个反向传播波的振幅。 3。作为一种特殊情况，通过省略轴，我们分析了该字符串的Casimir效应，显示了其相似性以及与标量场的Casimir效应的差异（Brevik and Nielsen 1990）。 4。最后，再次包括轴，我们分析了圆柱卤素内部中心附近的表面产生的电磁辐射的增强，其中内部区域是真空的，而外部区域是金属。这种增强是由边界的曲率引起的，在数学上是第二种汉克尔函数的行为的结果。一个简单的估计表明，增强可能非常重要，因此可能具有实验意义。该提案被认为是liu {\ it等人}（2022）最近讨论的类似布置的反射器布置的替代方法。
Various aspects of axion electrodynamics in the presence of a homogeneous and isotropic dielectric medium are discussed. 1. We consider first the "antenna-like" property of a planar dielectric surface in axion electrodynamics, elaborating on the treatment given earlier on this topic by Millar {\it et al.} (2017). We calculate the electromagnetic energy transmission coefficient for a dielectric plate, and compare with the conventional expression in ordinary electrodynamics. 2. We consider the situation where the medium exterior to the plate, assumed elastic, is "bent back" and glued together, so that we obtain a circular dielectric string in which the waves can propagate clockwise or counterclockwise. As will be shown, a stationary wave pattern is permitted by the formalism, and we show how the amplitudes for the two counterpropagating waves can be found. 3. As a special case, by omitting axions for a moment, we analyze the Casimir effect for the string, showing its similarity as well as its difference with the Casimir effect of a scalar field for a piecewise uniform string (Brevik and Nielsen 1990). 4. Finally, including axions again we analyze the enhancement of the surface-generated electromagnetic radiation near the center of a cylindrical haloscope, where the interior region is a vacuum and the exterior region a metal. This enhancement is caused by the curvature of the boundary, and is mathematically a consequence of the behavior of the Hankel function of the second kind for small arguments. A simple estimate shows that enhancement may be quite significant, and can therefore be of experimental interest. This proposal is suggested as an alternative to the reflector arrangement in a similar arrangement recently discussed by Liu {\it et al.} (2022).
