## 3 Results and Discussion
### Polarization Switching between Different Types of QTMs in the Lattice of MoS\({}_{2}\) Disks  
Changing the polarization of the incident wave to \(E_{y}(k_{z})\) (see Figure 4a), we again observe three resonances in the studied spectral range, but their wavelengths shift to the values \(\lambda_{QTM1}^{m}=1545\) nm, \(\lambda_{2}^{m}~{}=~{}1583\) nm, and \(\lambda_{3}^{m}=1663\) nm; see Figure 4b. Analysis of the reasons for the appearance of these resonances shows that only for resonance at the wavelength \(\lambda_{QTM1}^{m}\), the condition \(U=\left|S_{z}^{\left(\mathrm{R}\right)}-\mathrm{Re}\left(\frac{1}{\alpha z^{ \mathrm{cr}}}\right)\right|=0\) is satisfied, and the resonant feature for \(m_{z}\) exists; therefore, this resonance is associated with the trapped mode excitation. However, in the considered case, the QTM resonance is determined by the induced bianisotropy (see Equations (11) and (12)) of the magnetic type in each disk. The multipole analysis shown in Figure 4c for the individual disk from the considered metasurface again demonstrates a similar mechanism for suppression of the reflection coefficient at wavelength \(\lambda_{QTM1}^{m}\). In particular, the resonant amplification of the \(m_{z}\) component of the magnetic dipole occurs in the QTM regime, which leads to the considerable decrease in the \(p_{y}\) component of the disk due to the bianisotropic coupling through the term \(\alpha_{zy}^{me}E_{y}\) in Equation (11). Note that the resonance at the wavelength \(\lambda_{3}^{m}\) is due to strong coupling between the magnetic dipole and electric quadrupole, which corresponds to the simultaneous and sharp increase in intensity of \(Qe_{yz}\) and \(m_{x}\) in the vicinity of the wavelength 1660 nm [32]. Multiresonance for \(\lambda_{2}^{m}\) has a more complex nature and is due to the secondary excitation of several multipoles at once, including the \(Qm_{zz}\) component of magnetic quadrupole at the wavelength 1583 nm; see Figure 4c. In practice, the presented triple resonance can be utilized for switching between the regimes of transmission/reflection of the metasurface at three wavelengths simultaneously. In particular, the change in the polarization of a normally incident wave from \(E_{x}(k_{z})\) to \(E_{y}(k_{z})\) leads to the switching of the reflection coefficient, for which the value of contrast can be defined as follows:  
\[V=\frac{\left|\mathrm{R}_{E_{x}}-\mathrm{R}_{E_{y}}\right|}{\mathrm{R}_{E_{x}} +\mathrm{R}_{E_{y}}}\times 100, \tag{21}\]  
where \(R_{E_{x}}(k_{z})\) corresponds to the reflection coefficients of the metasurface irradiated by the waves \(E_{x}(k_{z})\) or \(E_{y}(k_{z})\), respectively. In considered case, its values are equal to \(V_{1}=68\%\) for \(\lambda_{QTM1}=1553\) nm, \(V_{2}=82\%\) for \(\lambda_{QTM2}=1610\) nm, and \(V_{3}=45\%\) for \(\lambda_{QTM3}=1675\) nm. Finally, we studied the peculiarities of QTM resonances under irradiation by a normally incident wave with polarization oriented at a certain angle \(\varphi\) relative to the \(x\) axis of the lattice; see Figure 5a. Note that each feature degenerates into a double feature. This is due to the fact that each component (\(E_{x}\), \(E_{y}\)) of the incident wave excites a certain type of resonance. Moreover, such an excitation of the metasurface leads to the effect of birefringence owing to the asymmetry shape of MoS\({}_{2}\) disks with a hole. As a result, a cross-polarization effect is observed for the considered metasurface accompanied by partial energy transfer from the incident wave into the orthogonal component of the re  
Figure 4: (**a**) The model of the metasurface based on MoS\({}_{2}\) disks with a hole shifted from the disk’s center irradiated by normally incident wave \(E_{y}(k_{z})\). (**b**) Dependences of the reflection (R), transmission (T), and absorption (A) coefficients and parameter \(U_{n}=0.5U/\mathrm{max}(U)\), as well as (**c**) dependences of various multipole components excited in each disk of the metasurface on the wavelength.