The propagation of Dyakonov–Tamm (DT) surface waves guided by the planar interface of two nondissipative materials $\mathcal{A}$ and $\mathcal{B}$ was investigated theoretically and numerically, via the corresponding canonical boundary-value problem. Material $\mathcal{A}$ is a homogeneous uniaxial dielectric material whose optic axis lies at an angle $\chi$ relative to the interface plane. Material $\mathcal{B}$ is an isotropic dielectric material that is periodically nonhomogeneous in the direction normal to the interface. The special case was considered in which the propagation matrix for material $\mathcal{A}$ is non-diagonalizable because the corresponding surface wave — named the Dyakonov–Tamm–Voigt (DTV) surface wave — has unusual localization characteristics. The decay of the DTV surface wave is given by the product of a linear function and an exponential function of distance from the interface in material $\mathcal{A}$; in contrast, the fields of conventional DT surface waves decay only exponentially with distance from the interface. Numerical studies revealed that multiple DT surface waves can exist for a fixed propagation direction in the interface plane, depending upon the constitutive parameters of materials $\mathcal{A}$ and $\mathcal{B}$. When regarded as functions of the angle of propagation in the interface plane, the multiple DT surface-wave solutions can be organized as continuous branches. A larger number of DT solution branches exist when the degree of anisotropy of material $\mathcal{A}$ is greater. If $\chi =0°$, a solitary DTV solution exists for a unique propagation direction on a DT solution branch and should be regarded as the manifestation of an exceptional point. No DTV solutions exist if $\chi >0°$. As the degree of nonhomogeneity of material $\mathcal{B}$ decreases, the number of DT solution branches decreases. For most propagation directions in the interface plane, no solutions exist in the limiting case wherein the degree of nonhomogeneity approaches zero; but one solution persists provided that the direction of propagation falls within the angular existence domain of the corresponding Dyakonov surface wave.

由两种非耗散材料的平面界面引导的Dyakonov–Tamm（DT）表面波的传播 $\mathcal{一种}$ 和 $\mathcal{乙}$通过相应的规范边值问题在理论上和数值上进行了研究。材料$\mathcal{一种}$ 是一种均匀的单轴介电材料，其光轴成一定角度 $\chi$相对于界面平面。材料$\mathcal{乙}$是在垂直于界面的方向上周期性不均匀的各向同性介电材料。考虑了特殊情况，其中材料的传播矩阵$\mathcal{一种}$之所以是非对角线化的，是因为相应的表面波（称为Dyakonov–Tamm–Voigt（DTV）表面波）具有异常的定位特性。DTV表面波的衰减由材料中与界面的距离的线性函数和距离的指数函数的乘积给出$\mathcal{一种}$; 相反，常规DT表面波的场仅随距界面的距离呈指数衰减。数值研究表明，取决于材料的本构参数，在界面平面中的固定传播方向上可以存在多个DT表面波$\mathcal{一种}$ 和 $\mathcal{乙}$。当被视为界面平面中传播角的函数时，多个DT面波解决方案可以组织为连续分支。当材料的各向异性程度较大时，存在大量DT解决方案分支$\mathcal{一种}$更伟大。如果$\chi =0°$，对于DT解决方案分支上的唯一传播方向，存在单独的DTV解决方案，应将其视为例外点的体现。如果没有DTV解决方案，$\chi >0°$。作为材料的非均质程度$\mathcal{乙}$减少，DT解决方案分支的数量减少。对于界面平面中的大多数传播方向，在极限情况下不存在解，在极限情况下，非均匀度接近零；但是只要传播方向落在相应的Dyakonov面波的角存在域之内，一种解决方案仍然存在。