[1] Y. Shen, N. C. Harris, S. Skirlo, M. Prabhu, T. Baehr-Jones, M. Hochberg, X. Sun, S. Zhao, H. Larochelle, D. Englund, M. Soljačić. Deep learning with coherent nanophotonic circuits. Nat. Photonics, 11, 441-446(2017).

[2] X. Lin, Y. Rivenson, N. T. Yardimci, M. Veli, Y. Luo, M. Jarrahi, A. Ozcan. All-optical machine learning using diffractive deep neural networks. Science, 361, 1004-1008(2018).

[3] E. Khoram, A. Chen, D. Liu, L. Ying, Q. Wang, M. Yuan, Z. Yu. Nanophotonic media for artificial neural inference. Photon. Res., 7, 823-827(2019).

[4] N. Yu, P. Genevet, M. A. Kats, F. Aieta, J.-P. Tetienne, F. Capasso, Z. Gaburro. Light propagation with phase discontinuities: generalized laws of reflection and refraction. Science, 334, 333-337(2011).

[5] N. Yu, F. Capasso. Flat optics with designer metasurfaces. Nat. Mater., 13, 139-150(2014).

[6] C. C. Yann. MNIST handwritten digit database, Yann LeCun, Corinna Cortes and Chris Burges(2015).

[7] R. Pestourie, C. Pérez-Arancibia, Z. Lin, W. Shin, F. Capasso, S. G. Johnson. Inverse design of large-area metasurfaces. Opt. Express, 26, 33732-33747(2018).

[8] F. Aieta, P. Genevet, M. A. Kats, N. Yu, R. Blanchard, Z. Gaburro, F. Capasso. Aberration-free ultrathin flat lenses and axicons at telecom wavelengths based on plasmonic metasurfaces. Nano Lett., 12, 4932-4936(2012).

[9] A. Arbabi, E. Arbabi, Y. Horie, S. M. Kamali, A. Faraon. Planar metasurface retroreflector. Nat. Photonics, 11, 415-420(2017).

[10] M. Khorasaninejad, W. T. Chen, A. Y. Zhu, J. Oh, R. C. Devlin, C. Roques-Carmes, I. Mishra, F. Capasso. Visible wavelength planar metalenses based on titanium dioxide. IEEE J. Sel. Top. Quantum Electron., 23, 43-58(2017).

[11] F. Aieta, M. A. Kats, P. Genevet, F. Capasso. Multiwavelength achromatic metasurfaces by dispersive phase compensation. Science, 347, 1342-1345(2015).

[12] M. Khorasaninejad, F. Aieta, P. Kanhaiya, M. A. Kats, P. Genevet, D. Rousso, F. Capasso. Achromatic metasurface lens at telecommunication wavelengths. Nano Lett., 15, 5358-5362(2015).

[13] M. Khorasaninejad, Z. Shi, A. Y. Zhu, W. T. Chen, V. Sanjeev, A. Zaidi, F. Capasso. Achromatic metalens over 60 nm bandwidth in the visible and metalens with reverse chromatic dispersion. Nano Lett., 17, 1819-1824(2017).

[14] E. Arbabi, A. Arbabi, S. M. Kamali, Y. Horie, A. Faraon. Controlling the sign of chromatic dispersion in diffractive optics with dielectric metasurfaces. Optica, 4, 625-632(2017).

[15] V.-C. Su, C. H. Chu, G. Sun, D. P. Tsai. Advances in optical metasurfaces: fabrication and applications [Invited]. Opt. Express, 26, 13148-13182(2018).

[16] B. Groever, C. Roques-Carmes, S. J. Byrnes, F. Capasso. Substrate aberration and correction for meta-lens imaging: an analytical approach. Appl. Opt., 57, 2973-2980(2018).

[17] A. Y. Piggott, J. Lu, K. G. Lagoudakis, J. Petykiewicz, T. M. Babinec, J. Vučković. Inverse design and demonstration of a compact and broadband on-chip wavelength demultiplexer. Nat. Photonics, 9, 374-377(2015).

[18] D. P. Kingma, J. Ba. Adam: a method for stochastic optimization(2017).

[19] A. Taflove, S. C. Hagness. Computational Electrodynamics: The Finite-Difference Time-Domain Method(2005).