Fig. 1. Geodesic lens of micron scale^[29]. (a) Spatial distribution of refractive index of four kinds of geodesic lenses and actual shapes of geodesic lenses; (b) sample morphology and coupled grating morphology under electron microscope; (c) beam propagation and comparison with theoretically calculated trajectory

Fig. 2. Conformal singularity experiment^[30]. (a) Refractive index distribution of core region and whole, and corresponding curved surface shape; (b) refractive index distribution of zero singularity core area and whole, and corresponding curved surface shape; (c) infinite singularity and zero optical simulation results of ingularity; (d) curved waveguide samples of infinite singularities and experimental images of beam propagation

Fig. 3. Conformal lens experiment^[31]. (a) Schematic of beam with multi-curved structure and corresponding refractive index distribution in virtual space; (b) convergence diagram of quasi-focusing curved lens and corresponding plane refractive in dex distribution diagram; (c) sample photos and experimental pictures of non-rotationally symmetric curved lens-like lenses

Fig. 4. Wormhole simulation experiment^[32]. (a) Embedding diagram of MT wormhole; (b) MT wormhole samples; (c) beam geodesic and experimental pictures of non-traversal condition; (d) geodesic and experimental images of beam under crossing condition

Fig. 5. Simulation experiment of cosmic expansion^[33]. (a) Schematic of parameters of rotating surface structure; (b) schematic of curved waveguide; (c) experimental light path; (d) incident light spots; (e) outgoing light spots