[1] Leonhardt U. Optical conformal mapping[J]. Science, 312, 1777-1780(2006).

[2] Pendry J B, Schurig D, Smith D R. Controlling electromagnetic fields[J]. Science, 312, 1780-1782(2006).

[3] Li J, Pendry J B. Hiding under the carpet: a new strategy for cloaking[J]. Physical Review Letters, 101, 203901(2008). http://www.ncbi.nlm.nih.gov/pubmed/19113341

[4] Lai Y, Ng J, Chen H et al. Illusion optics: the optical transformation of an object into another object[J]. Physical Review Letters, 102, 253902(2009). http://europepmc.org/abstract/MED/19659076

[5] Chen H Y, Chan C T, Sheng P. Transformation optics and metamaterials[J]. Nature Materials, 9, 387-396(2010).

[6] Cheng Q, Cui T J, Jiang W X et al. An omnidirectional electromagnetic absorber made of metamaterials[J]. New Journal of Physics, 12, 063006(2010).

[7] McCall M W, Favaro A, Kinsler P et al. A spacetime cloak, or a history editor[J]. Journal of Optics, 13, 024003(2011). http://www.ingentaconnect.com/content/iop/jopt2/2011/00000013/00000002/art024003

[8] Chen H, Zheng B, Shen L et al. Ray-optics cloaking devices for large objects in incoherent natural light[J]. Nature Communications, 4, 2652(2013). http://europepmc.org/abstract/med/24153410

[9] Mitchell-Thomas R C, McManus T M, Quevedo-Teruel O et al. Perfect surface wave cloaks[J]. Physical Review Letters, 111, 213901(2013).

[10] Han T, Bai X, Gao D et al. Experimental demonstration of a bilayer thermal cloak[J]. Physical Review Letters, 112, 054302(2014). http://europepmc.org/abstract/med/24580600

[11] Smolyaninov I I, Narimanov E E. Metric signature transitions in optical metamaterials[J]. Physical Review Letters, 105, 067402(2010).

[12] Smolyaninov I I, Hwang E, Narimanov E. Hyperbolic metamaterial interfaces: hawking radiation from Rindler horizons and spacetime signature transitions[J]. Physical Review B, 85, 235122(2012).

[13] Zhukovsky S V, Ozel T, Mutlugun E et al. Hyperbolic metamaterials based on quantum-dot plasmon-resonator nanocomposites[J]. Optics Express, 22, 18290-18298(2014).

[14] Smolyaninov I I, Hung Y J, Hwang E. Experimental modeling of cosmological inflation with metamaterials[J]. Physics Letters A, 376, 2575-2579(2012).

[15] Greenleaf A, Kurylev Y, Lassas M et al. Electromagnetic wormholes and virtual magnetic monopoles from metamaterials[J]. Physical Review Letters, 99, 183901(2007).

[16] Li M, Miao R X, Pang Y. More studies on metamaterials mimicking de Sitter space[J]. Optics Express, 18, 9026-9033(2010).

[17] Li M, Miao R X, Pang Y. Casimir energy, holographic dark energy and electromagnetic metamaterial mimicking de Sitter[J]. Physics Letters B, 689, 55-59(2010).

[18] Hu J W, Yu H W. Manipulating lightcone fluctuations in an analogue cosmic string[J]. Physics Letters B, 777, 346-350(2018).

[19] Sheng C, Liu H, Wang Y et al. Trapping light by mimicking gravitational lensing[J]. Nature Photonics, 7, 902-906(2013).

[20] Sheng C, Bekenstein R, Liu H et al. Wavefront shaping through emulated curved space in waveguide settings[J]. Nature Communications, 7, 10747(2016).

[21] Sheng C, Liu H, Chen H et al. Definite photon deflections of topological defects in metasurfaces and symmetry-breaking phase transitions with material loss[J]. Nature Communications, 9, 4271(2018).

[22] Zhong F, Li J, Liu H et al. Controlling surface plasmons through covariant transformation of the spin-dependent geometric phase between curved metamaterials[J]. Physical Review Letters, 120, 243901(2018).

[24] Batz S, Peschel U. Linear and nonlinear optics in curved space[J]. Physical Review A, 78, 043821(2008).

[25] Schultheiss V H, Batz S, Szameit A et al. Optics in curved space[J]. Physical Review Letters, 105, 143901(2010).

[26] Schultheiss V H, Batz S, Peschel U. Hanbury Brown and Twiss measurements in curved space[J]. Nature Photonics, 10, 106-110(2016).

[27] Bekenstein R, Kabessa Y, Sharabi Y et al. Control of light by curved space in nanophotonic structures[J]. Nature Photonics, 11, 664-670(2017).

[28] Zhu J, Liu Y, Liang Z et al. Elastic waves in curved space: mimicking a wormhole[J]. Physical Review Letters, 121, 234301(2018).

[29] Xu L, Wang X Y, Tyc T et al. Light rays and waves on geodesic lenses[J]. Photonics Research, 7, 1266-1272(2019).

[30] Xu L, He R Q, Yao K et al. Conformal singularities and topological defects from inverse transformation optics[J]. Physical Review Applied, 11, 034072(2019).

[31] Xu L, Ge H, Li J et al. Conformal landscape of a two-dimensional gradient refractive-index profile for geometrical optics[J]. Physical Review Applied, 13, 054007(2020).

[32] He R Q, Liang G H, Zhu S N et al. Simulation of giant tidal force of wormhole using curved optical spaces[J]. Physical Review Research, 2, 013237(2020).

[33] Liang G H, Cai R G, Ma Y Z et al. Mimicking an expanding universe by optical interference in a helicoid waveguide[J]. Optics Express, 28, 11406-11414(2020).