Zalipaev V V, Kosulnikov S Yu
Department of Photonics and Opto-information, ITMO University, St Petersburg 197101, Russia.
Proc Math Phys Eng Sci. 2019 Jan;475(2221):20180399. doi: 10.1098/rspa.2018.0399. Epub 2019 Jan 16.
Guided localized electromagnetic waves propagating along one-dimensional (1D) arrays of thin metallic parallel wires, finite and infinite, are studied. The arrays are embedded into the upper dielectric half-space close to the interface separating it from the lower dielectric medium with different permittivity and the same permeability. Firstly, a dependence of resonance frequencies of excited wave modes for finite array with respect to the array height above the interface is studied. The array is excited by a normally incident plane wave. It is important that the order of the resonance modes changes if the distance between the array and the interface becomes small. An analysis, based on the Pocklington system of integral equations to evaluate resonance frequencies and compute the fields of excited modes above the array, was applied. This approach is based on the longwave approximation of thin wires. Secondly, the waves propagating along infinite 1D array of thin metallic wires that is close to the interface are studied. Dispersion curves are presented for the lowest case of half-wave resonance for different heights of the array over the interface. When the array approaches very close to the interface an anomalous dispersion is observed. The results of the numerical analysis were tested against computations obtained by means of other independent CST Studio Suite simulations.
研究了沿有限和无限细金属平行导线的一维（1D）阵列传播的导向局部电磁波。这些阵列嵌入到上半介质空间中，靠近将其与具有不同介电常数和相同磁导率的下半介质介质分隔开的界面。首先，研究了有限阵列中激发波模式的共振频率相对于界面上方阵列高度的依赖性。该阵列由垂直入射的平面波激发。重要的是，如果阵列与界面之间的距离变小，共振模式的阶数会发生变化。应用了基于积分方程的Pocklington系统来评估共振频率并计算阵列上方激发模式的场。这种方法基于细导线的长波近似。其次，研究了沿靠近界面的无限细金属导线一维阵列传播的波。给出了在界面上方不同阵列高度的半波共振最低情况下的色散曲线。当阵列非常接近界面时，会观察到异常色散。数值分析的结果与通过其他独立的CST Studio Suite模拟获得的计算结果进行了对比测试。
