Size and host-medium effects on topologically protected surface states in bianisotropic three-dimensional optical waveguides

Abstract

We study the optical properties of bi-anisotropic optical waveguides with nontrivial topological structure in wavevector space, placed in an ordinary dielectric matrix. We derive an exact analytical description of the eigenmodes of the systems with arbitrary parameters that allows us to investigate topologically protected surface states (TPSS) in details. In particular, we find that the TPSS on the waveguides would disappear (1) if their radius is smaller than a critical radius due to the dimensional quantization of azimuthal wavenumber, and also (2) if the permittivity of the host-medium exceeds a critical value. Interestingly, we also find that the TPSS in the waveguides have negative refraction for some geometries. We have found a TPSS phase diagram that will pave the way for development of the topological waveguides for optical interconnects and devices.

Photonic Chern insulators made of gyromagnetic hyperbolic metamaterials

“…Another interesting property of the topological surface states of the GHM is negative refraction, similar to that of the CHM reported recently in Ref. [35]. As shown in Fig.…”

“…4(b)]. This is the signature of negative refraction 30,35 . On the contrary, the surface states on the GHM with γ = 0.8 in the k x < 0 region have v g,x < 0 and v ph,x < 0 [see upper panel of Fig.…”

Topologically Protected and Highly Localized Surface Waves in Gyro‐Electromagnetic Metamaterials

“…[11,[26][27][28] Therefore, it has been widely concerned in the study of topological protected surface waves on this kind of metamaterials. [21,[29][30][31][32][33][34][35] The gyro-electromagnetic system simultaneously possesses nonzero gyrotropic elements in the permittivity and permeability tensors, which can bring a number of unique dispersion features. [36][37][38][39][40] The optical scattering anomalies under the protection of parity, time inversion, and duality operators are reported recently.…”

“…[ 11,26–28 ] Therefore, it has been widely concerned in the study of topological protected surface waves on this kind of metamaterials. [ 21,29–35 ]…”