Mackay Tom G, Zhou Chenzhang, Lakhtakia Akhlesh
School of Mathematics and Maxwell Institute for Mathematical Sciences, University of Edinburgh, Edinburgh EH9 3FD, UK.
NanoMM-Nanoengineered Metamaterials Group, Department of Engineering Science and Mechanics, Pennsylvania State University, University Park, PA 16802-6812, USA.
Proc Math Phys Eng Sci. 2019 Aug;475(2228):20190317. doi: 10.1098/rspa.2019.0317. Epub 2019 Aug 28.
Electromagnetic surface waves guided by the planar interface of an isotropic dielectric medium and a uniaxial dielectric medium, both non-dissipative, were considered, the optic axis of the uniaxial medium lying in the interface plane. Whereas this interface is known to support the propagation of Dyakonov surface waves when certain constraints are satisfied by the constitutive parameters of the two partnering mediums, we identified a different set of constraints that allow the propagation of surface waves of a new type. The fields of the new surface waves, named Dyakonov-Voigt (DV) surface waves, decay as the product of a linear and an exponential function of the distance from the interface in the anisotropic medium, whereas the fields of the Dyakonov surface waves decay only exponentially in the anisotropic medium. In contrast to Dyakonov surface waves, the wavenumber of a DV surface wave can be found analytically. Also, unlike Dyakonov surface waves, DV surface waves propagate only in one direction in each quadrant of the interface plane.
研究了由各向同性电介质和单轴电介质的平面界面引导的电磁表面波，这两种介质均无耗散，单轴介质的光轴位于界面平面内。虽然当两种相关介质的本构参数满足某些约束条件时，已知该界面支持戴亚科诺夫表面波的传播，但我们确定了一组不同的约束条件，允许一种新型表面波的传播。这种新的表面波称为戴亚科诺夫 - 沃伊特（DV）表面波，其场强在各向异性介质中随距界面距离的线性函数与指数函数的乘积而衰减，而戴亚科诺夫表面波的场强在各向异性介质中仅呈指数衰减。与戴亚科诺夫表面波不同，DV表面波的波数可以通过解析方法求得。此外，与戴亚科诺夫表面波不同，DV表面波在界面平面的每个象限中仅沿一个方向传播。
