## 1 Introduction  
The makeup of light has captivated the humanity since biblical times [1, 2]. This continued in the scholarly works of the Greco-Roman [3, 4, 5] and Islamic worlds [6, 7, 8]. In modern electromagnetism, the generic isotropy is described by bi-isotropic diagonal tensors of dielectric permittivity \(\hat{e}=e\hat{1}\), magnetic permeability \(\hat{\mu}=\mu\hat{1}\), and magnetoelectric couplings \(\hat{X},\hat{Y}\)[9]. For isotropic materials, the concepts of optical rays and electromagnetic waves progressed in the works of [PERSON] in 1662 and [PERSON] in 1678 [10], to produce the understanding that in isotropic media, rays are directed perpendicular to the wavefronts. Furthermore, the polarization of light was established by [PERSON] in 1811 [11] and clarified by [PERSON] in 1821 [12] as being transverse to the ray and wavefront propagation directions in isotropic media. The magnitudes of k-vectors \(k=k_{0}\pi\) of all electromagnetic waves in isotropic media are independent of the propagation direction, which allows us to consider indices of refraction \(n\) of isotropic media, such as water and glass, as material parameters. Observations of isotropy breaking in electromagnetic materials have been recorded since 1669, when the double refraction by Iceland spar was reported by [PERSON] [13]. An understanding of this phenomenon grew through the works of [PERSON] and [PERSON] [14] and culminated in the development of the concept of the Fresnel wave surface \(\mathcal{H}(\mathbf{k},k_{0})=0\) and the optics of crystals by [PERSON] in 1822 [15]. This work was supported by the prediction of conical refraction by [PERSON] in 1832 [16], who discovered it while developing his Hamiltonian geometrical optics [17]. In 1845, the Faraday rotation effect was discovered by [PERSON] and gave rise to the studies of gyroelectromagnetic materials [18]. The electromagnetism of moving media has a tremendous impact on modern science. The Fresnel-Fizeau drag, aberration of light, moving magnet and conductor problem, and negative ether drift tests formed the basis of [PERSON]'s development of the theory of relativity [19]. In 1888, [PERSON] discovered that a dielectric moving through an electric field creates magnetic field, the first observation of bianisotropy in moving media in the form of Roentgen interaction, i.e., Roentgen hidden momentum [20]. In 1905, [PERSON] demonstrated the electrical polarization of a dielectric, moving in a magnetic field, which was later associated with Shockley hidden momentum [21]. It has been demonstrated that even isotropic media appear bianisotropic to moving observers [22]. Stationary bianisotropic crystals were first studied by [PERSON], [PERSON], and [PERSON] in 1957-1959 [23; 24]. For several decades now, the field of bianisotropics and metamaterials has occupied the central role in optics [25; 26; 27; 28; 29], with refraction in both isotropic [30; 31] and isotropy-broken media [32; 33] being one of the foci of research. Fresnel wave surfaces of generic bianisotropic materials with arbitrary material parameters are quartic surfaces in k-space and are described by Tamm-Rubilar tensors \(T_{ijlm}\)[34; 35; 36]:  
\[\mathcal{H}(\mathbf{k},k_{0})=\sum_{i+j+l+m=4}[T_{ijlm}k_{x}^{i}k_{y}^{j}k_{z}^{l} k_{0}^{m}]=0 \tag{1}\]  
Topological asymptotic skeletons of the iso-frequency surfaces (Equation (1)) can be found in the high-k limit \(k\gg k_{0}\). The quasistatic high-k waves in materials tend to the conical surfaces given by [PERSON] high-k characteristic function [32; 33; 37]:  
\[h(\mathbf{k})=\mathcal{H}(k\rightarrow\infty,k_{0})=\sum_{i+j+l=4}[T_{ijl0}k_{x}^{ i}k_{y}^{j}k_{z}^{l}]=\left(\mathbf{k}^{\tau}\mathbf{\varepsilon}\mathbf{k}\right)\left( \mathbf{k}^{\tau}\mathbf{\beta}\mathbf{k}\right)-\left(\mathbf{k}^{T}\mathbf{\hat{X}}\mathbf{k}\right) \left(\mathbf{k}^{T}\mathbf{\hat{Y}}\mathbf{k}\right)=0 \tag{2}\]  
By investigating the properties of Equation (2), [PERSON] et al.