[1] E. Abbe. Resolution of microscopes. Arch. Mikrosk. Anat, 9, 413-468(1873).

[2] J. B. Pendry. Negative refraction makes a perfect lens. Phys. Rev. Lett., 85, 3966-3969(2000).

[3] N. Fang, H. Lee, C. Sun, X. Zhang. Negative refraction makes a perfect lens. Science, 308, 534-537(2005).

[4] T. Taubner, D. Korobkin, Y. Urzhumov, G. Shvets, R. Hillenbrand. Near-field microscopy through a SiC superlens. Science, 313, 1595(2006).

[5] E. Cubukcu, K. Aydin, E. Ozbay, S. Foteinopoulou, C. M. Soukoulis. Subwavelength resolution in a two-dimensional photonic-crystal-based superlens. Phys. Rev. Lett., 91, 207401(2003).

[6] K. Aydin, I. Bulu, E. Ozbay. Subwavelength resolution with a negative-index metamaterial superlens. Appl. Phys. Lett., 90, 254102(2007).

[7] W. Cai, D. A. Genov, V. M. Shalaev. Superlens based on metal-dielectric composites. Phys. Rev. B, 72, 193101(2005).

[8] V. A. Podolskiy, E. E. Narimanov. Near-sighted superlens. Opt. Lett, 30, 75-77(2005).

[9] A. Salandrino, N. Engheta. Far-field subdiffraction optical microscopy using metamaterial crystals: theory and simulations. Phys. Rev. B, 74, 075103(2006).

[10] Z. Jacob, L. V. Alekseyev, E. Narmanov. Optical hyperlenses: far-field imaging beyond the diffraction limit. Opt. Express, 14, 8247-8256(2006).

[11] Z. W. Liu, H. Lee, Y. Xiong, C. Sun, X. Zhang. Far-field optical hyperlens magnifying sub-diffraction-limited objects. Science, 315, 1686(2007).

[12] J. B. Sun, M. I. Shalaev, N. M. Litchinitser. Experimental demonstration of a non-resonant hyperlens in the visible spectral range. Nat. Commun, 6, 7201(2015).

[13] J. Rho, Z. Ye, Y. Xiong, X. Yin, Z. W. Liu, H. Choi, G. Bartal, X. Zhang. Spherical hyperlens for two-dimensional sub-diffractional imaging at visible frequencies. Nat. Commun., 1, 143(2010).

[14] D. Z. Albert, L. Vaidman, Y. Aharonov. How the result of a measurement of a component of the spin of a spin-1/2 particle can turn out to be 100. Phys. Rev. Lett., 60, 1351-1354(1988).

[15] M. V. Berry. Evanescent and real waves in quantum billiards and Gaussian beams. J. Phys. A, 27, L391-L398(1994).

[16] M. V. Berry, S. Popescu. Evolution of quantum superoscillations and optical super resolution without evanescent waves. J. Phys. A, 39, 6965-6977(2006).

[17] K. Huang, H. P. Ye, J. H. Teng, S. P. Yeo, B. Luk’yanchuk, C.-W. Qiu. Optimization-free superoscillatory lens using phase and amplitude masks. Laser Photon. Rev., 8, 152-157(2014).

[18] E. T. F. Rogers, J. Lindberg, T. Roy, S. Savo, J. E. Chad, M. R. Dennis, N. I. Zheludev. A super-oscillatory lens optical microscope for subwavelength imaging. Nat. Mater., 11, 432-435(2012).

[19] K. S. Rogers, E. T. F. Rogers, N. I. Zheludev, G. Yuan. Far-field superoscillatory metamaterial superlens. Phys. Rev. Appl., 11, 024073(2019).

[20] Q. Zhang, F. Dong, H. Li, Z. Wang, G. Liang, Z. Zhang, Z. Wen, Z. Shang, G. Chen, L. Dai, W. Chu. High-numerical-aperture dielectric metalens for super-resolution focusing of oblique incident light. Adv. Opt. Mater., 8, 1901885(2020).

[21] R. Zuo, W. Liu, H. Cheng, S. Chen, J. Tian. Breaking the diffraction limit with radially polarized light based on dielectric metalenses. Adv. Opt. Mater., 6, 1800795(2018).

[22] L. Chen, J. Liu, X. Zhang, D. Tang. Achromatic super-oscillatory metasurface through optimized multiwavelength functions for sub-diffraction focusing. Opt. Lett., 45, 5772-5775(2020).

[23] Z. Wu, F. Dong, S. Zhang, S. Yan, G. Liang, Z. Zhang, Z. Wen, G. Chen, L. Dai, W. Chu. Broadband dielectric metalens for polarization manipulating and superoscillation focusing of visible light. ACS Photon., 7, 180-189(2020).

[24] D. Tang, C. Wang, Z. Zhao, Y. Wang, M. Pu, X. Li, P. Gao, X. Luo. Ultrabroadband superoscillatory lens composed by plasmonic metasurfaces for sub-diffraction light focusing. Laser Photon. Rev., 9, 713-719(2015).

[25] D. Tang, L. Chen, J. Liu. Visible achromatic super-oscillatory metasurfaces for sub-diffraction focusing. Opt. Express, 27, 12308-12316(2019).

[26] E. T. Rogers, N. I. Zheludev. Optical super-oscillations: sub-wavelength light focusing and super-resolution imaging. J. Opt., 15, 094008(2013).

[27] F. Qin, K. Huang, J. Wu, J. Teng, C.-W. Qiu, M. Hong. A supercritical lens optical label-free microscopy: sub-diffraction resolution and ultra-long working distance. Adv. Mater., 29, 1602721(2017).

[28] C. L. Hao, Z. Q. Nie, H. P. Ye, H. Li, Y. Luo, R. Feng, X. Yu, F. Wen, Y. Zhang, C. Y. Yu, J. H. Teng, B. Luk’yanchuk, C.-W. Qiu. Three-dimensional supercritical resolved light-induced magnetic holography. Sci. Adv., 3, e1701398(2017).

[29] K. Huang, H. Liu, F. J. Garcia-Vidal, M. H. Hong, B. Luk’yanchuk, J. H. Teng, C.-W. Qiu. Ultrahigh-capacity non-periodic photon sieves operating in visible light. Nat. Commun., 6, 7059(2015).

[30] X. Lu, Y. Guo, M. Pu, Y. Zhang, Z. Li, X. Ma, X. Luo. Broadband achromatic metasurfaces for sub-diffraction focusing in the visible. Opt. Express, 29, 5947-5958(2021).

[31] Y. J. Bao, J. C. Ni, C.-W. Qiu. A minimalist single-layer metasurface for arbitrary and full control of vector vortex beams. Adv. Mater., 32, 1905659(2020).

[32] S. Chen, Z. Li, W. Liu, H. Cheng, J. Tian. From single-dimensional to multidimensional manipulation of optical waves with metasurfaces. Adv. Mater., 31, 1802458(2019).

[33] S. Chen, W. W. Liu, Z. C. Li, H. Cheng, J. G. Tian. Metasurface-empowered optical multiplexing and multifunction. Adv. Mater., 32, 2070022(2020).

[34] S. Wang, P. C. Wu, V. C. Su, Y. C. Lai, M. K. Chen, H. Y. Kuo, B. H. Chen, Y. H. Chen, T. T. Huang, J. H. Wang. A broadband achromatic metalens in the visible. Nat. Nanotechnol, 13, 227-232(2018).

[35] A. Ndao, L. Y. Hsu, J. Ha, J.-H. Park, C. Chang-Hasnain, B. Kante. Octave bandwidth photonic fishnet-achromatic-metalens. Nat. Commun., 11, 3205(2020).

[36] X. Luo, D. Tsai, M. Gu, M. Hong. Extraordinary optical fields in nanostructures: from sub-diffraction-limited optics to sensing and energy conversion. Chem. Soc. Rev., 48, 2494-2548(2019).

[37] S. Shrestha, A. C. Overvig, M. Lu, A. Stein, N. Yu. Broadband achromatic dielectric metalenses. Light Sci. Appl., 7, 85(2018).

[38] S. Wang, P. C. Wu, V. C. Su, Y. C. Lai, C. H. Chu, J. W. Chen, S. H. Lu, J. Chen, B. Xu, C. H. Kuan. Broadband achromatic optical metasurface devices. Nat. Commun., 8, 187(2017).

[39] S. M. Mansfield, G. S. Kino. Solid immersion microscope. Appl. Phys. Lett., 57, 2615-2616(1990).

[40] A. Bogucki, L. Zinkiewiz, M. Grzeszczyk, W. Pacuski, K. Nogajewski, T. Kazimierczuk, A. Rodek, J. Suffczynski, K. Watanabe, T. Taniguchi, P. Wasylczyk, M. Potemski, P. Kossacki. Ultra-long-working-distance spectroscopy of single nanostructures with aspherical solid immersion microlenses. Light Sci. Appl., 9, 48(2020).

[41] M.-S. Kim, T. Scharf, M. T. Haq, W. Nakagawa, H. P. Herzig. Subwavelength-size solid immersion lens. Opt. Lett., 36, 3930-3932(2011).

[42] J. Chen, X. Yuan, M. Chen, X. Cheng, A. Zhang, G. Peng, W. L. Song, D. Fang. Ultrabroadband three-dimensional printed radial perfectly symmetric gradient honeycomb all-dielectric dual-directional lightweight planar Luneburg lens. ACS Appl. Mater. Interfaces, 10, 38404-38409(2018).

[43] J. Chen, Y. Lin, G. Peng, Y. Huang, A. Zhang, W. L. Song, M. Chen, Z. Liu, D. Fang. An all-dielectric 3D Luneburg lens constructed by common-vertex coaxial circular cones. J. Phys. D, 53, 015110(2020).

[44] J. Chen, H. Chu, Y. Zhang, Y. Lai, M. Chen, D. Fang. Modified Luneburg lens for achromatic sub-diffraction focusing and directional emission. IEEE Trans. Antennas Propag.(2021).

[45] J. Chen, H. Chu, Y. Huang, Y. Lai, M. Chen, Z. Liu, D. Fang. Ultrabroadband compact lens antenna with high performance based on a transmission gradient index medium. J. Phys. D, 54, 175101(2020).

[46] J. Chen, H. Chu, Y. Lai, Z. Liu, H. Chen, M. Chen, D. Fang. Conformally mapped Mikaelian lens for broadband achromatic high resolution focusing. Laser Photon. Rev., 15, 2000564(2021).

[47] C. Guo, T. Urner, S. Jia. 3D light-field endoscopic imaging using a GRIN lens array. Appl. Phys. Lett., 116, 101105(2020).

[48] M. G. Scopelliti, M. Chamanzar. Ultrasonically sculpted virtual relay lens for in situ microimaging. Light Sci. Appl., 8, 65(2019).

[49] J. Nagar, S. D. Campbell, D. H. Werner. Apochromatic singlets enabled by metasurface-augmented GRIN lenses. Optica, 5, 99-102(2018).

[50] W. Jiang, C.-W. Qiu, T. Han, Q. Cheng, H. Ma, S. Zhang, T. Cui. Broadband all-dielectric magnifying lens for far-field high-resolution imaging. Adv. Mater., 25, 6963-6968(2013).

[51] W. Jiang, S. Ge, T. Han, S. Zhang, M. Mehmood, C.-W. Qiu, T. Cui. Shaping 3D path of electromagnetic waves using gradient-refractive-index metamaterials. Adv. Sci., 3, 1600022(2016).

[52] N. Zhang, W. X. Jiang, H. F. Ma, W. X. Tang, T. J. Cui. Compact high-performance lens antenna based on impedance-matching gradient-index metamaterials. IEEE. Trans. Antennas. Propag., 67, 1323-1328(2018).

[53] A. Forbes. Common elements for uncommon light: vector beams with GRIN lenses. Light Sci. Appl., 8, 111(2019).

[54] O. Bitton, R. Bruch, U. Leonhardt. Two-dimensional Maxwell fisheye for integrated optics. Phys. Rev. Appl., 10, 044059(2018).

[55] A. Arbabi, Y. Horie, A. J. Ball, M. Bagheri, A. Faraon. Subwavelength-thick lenses with high numerical apertures and large efficiency based on high-contrast transmitarrays. Nat. Commun., 6, 7069(2013).

[56] R. J. Potton. Reciprocity in optics. Rep. Prog. Phys., 67, 717-754(2004).

[57] D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, D. R. Smith. Metamaterial electromagnetic cloak at microwave frequencies. Science, 314, 977-980(2006).