[1] F. Zangeneh-Nejad, D. L. Sounas, A. Alù, R. Fleury. Analogue computing with metamaterials. Nat. Rev. Mater., 6, 207-225(2021).
[2] S. Abdollahramezani, O. Hemmatyar, A. Adibi. Meta-optics for spatial optical analog computing. Nanophotonics, 9, 4075-4095(2020).
[3] D. R. Solli, B. Jalali. Analog optical computing. Nat. Photonics, 9, 704-706(2015).
[4] A. Silva, F. Monticone, G. Castaldi, V. Galdi, A. Alù, N. Engheta. Performing mathematical operations with metamaterials. Science, 343, 160-163(2014).
[5] W. Zhang, C. Qu, X. Zhang. Solving constant-coefficient differential equations with dielectric metamaterials. J. Opt., 18, 075102(2016).
[6] N. M. Estakhri, B. Edwards, N. Engheta. Inverse-designed metastructures that solve equations. Science, 363, 1333-1338(2019).
[7] M. Camacho, B. Edwards, N. Engheta. A single inverse-designed photonic structure that performs parallel computing. Nat. Commun., 12, 1466(2021).
[8] X. Ding, Z. Wang, G. Hu, J. Liu, K. Zhang, H. Li, B. Ratni, S. N. Burokur, Q. Wu, J. Tan, C.-W. Qiu. Metasurface holographic image projection based on mathematical properties of Fourier transform. PhotoniX, 1, 16(2020).
[9] S. AbdollahRamezani, K. Arik, A. Khavasi, Z. Kavehvash. Analog computing using graphene-based metalines. Opt. Lett., 40, 5239-5242(2015).
[10] A. Pors, M. G. Nielsen, S. I. Bozhevolnyi. Analog computing using reflective plasmonic metasurfaces. Nano Lett., 15, 791-797(2015).
[11] A. Chizari, S. Abdollahramezani, M. V. Jamali, J. A. Salehi. Analog optical computing based on a dielectric meta-reflect array. Opt. Lett., 41, 3451-3454(2016).
[12] S. Abdollahramezani, A. Chizari, A. E. Dorche, M. V. Jamali, J. A. Salehi. Dielectric metasurfaces solve differential and integro-differential equations. Opt. Lett., 42, 1197-1200(2017).
[13] H. Kwon, D. Sounas, A. Cordaro, A. Polman, A. Alù. Nonlocal metasurfaces for optical signal processing. Phys. Rev. Lett., 121, 173004(2018).
[14] J. Zhou, H. Qian, C.-F. Chen, J. Zhao, G. Li, Q. Wu, H. Luo, S. Wen, Z. Liu. Optical edge detection based on high-efficiency dielectric metasurface. Proc. Natl. Acad. Sci. USA, 116, 11137-11140(2019).
[15] L. Wan, D. Pan, S. Yang, W. Zhang, A. A. Potapov, X. Wu, W. Liu, T. Feng, Z. Li. Optical analog computing of spatial differentiation and edge detection with dielectric metasurfaces. Opt. Lett., 45, 2070-2073(2020).
[16] H. Kwon, A. Cordaro, D. Sounas, A. Polman, A. Alù. Dual-polarization analog 2D image processing with nonlocal metasurfaces. ACS Photon., 7, 1799-1805(2020).
[17] A. Youssefi, F. Zangeneh-Nejad, S. Abdollahramezani, A. Khavasi. Analog computing by Brewster effect. Opt. Lett., 41, 3467-3470(2016).
[18] D. Xu, S. He, J. Zhou, S. Chen, S. Wen, H. Luo. Optical analog computing of two-dimensional spatial differentiation based on the Brewster effect. Opt. Lett., 45, 6867-6870(2020).
[19] T. Zhu, Y. Zhou, Y. Lou, H. Ye, M. Qiu, Z. Ruan, S. Fan. Plasmonic computing of spatial differentiation. Nat. Commun., 8, 15391(2017).
[20] W. Yang, X. Yu, J. Zhang, X. Deng. Plasmonic transmitted optical differentiator based on the subwavelength gold gratings. Opt. Lett., 45, 2295-2298(2020).
[21] W. Zhang, X. Zhang. Backscattering-immune computing of spatial differentiation by nonreciprocal plasmonics. Phys. Rev. Appl., 11, 054033(2019).
[22] Y. Lou, Y. Fang, Z. Ruan. Optical computation of divergence operation for vector fields. Phys. Rev. Appl., 14, 034013(2020).
[23] D. A. Bykov, L. L. Doskolovich, A. A. Morozov, V. V. Podlipnov, E. A. Bezus, P. Verma, V. A. Soifer. First-order optical spatial differentiator based on a guided-mode resonant grating. Opt. Express, 26, 10997-11006(2018).
[24] S. S. M. Khaleghi, P. Karimi, A. Khavasi. On-chip second-order spatial derivative of an optical beam by a periodic ridge. Opt. Express, 28, 26481-26491(2020).
[25] Y. Zhou, W. Wu, R. Chen, W. Chen, R. Chen, Y. Ma. Analog optical spatial differentiators based on dielectric metasurfaces. Adv. Opt. Mater., 8, 1901523(2019).
[26] T. Zhu, Y. Lou, Y. Zhou, J. Zhang, J. Huang, Y. Li, H. Luo, S. Wen, S. Zhu, Q. Gong, M. Qiu, Z. Ruan. Generalized spatial differentiation from spin Hall effect of light. Phys. Rev. Appl., 11, 034043(2019).
[27] D. Xu, S. He, J. Zhou, S. Chen, S. Wen, H. Luo. Goos-Hänchen effect enabled optical differential operation and image edge detection. Appl. Phys. Lett., 116, 211103(2020).
[28] T. Zhu, C. Guo, J. Huang, H. Wang, M. Orenstein, Z. Ruan, S. Fan. Topological optical differentiator. Nat. Commun., 12, 680(2021).
[29] Y. Zhou, H. Zheng, I. I. Kravchenko, J. Valentine. Flat optics for image differentiation. Nat. Photonics, 14, 316-323(2020).
[30] A. Cordaro, H. Kwon, D. Sounas, A. F. Koenderink, A. A. Alù, A. Polman. High-index dielectric metasurfaces performing mathematical operations. Nano Lett., 19, 8418-8423(2019).
[31] H. Wang, C. Guo, Z. Zhao, S. Fan. Compact incoherent image differentiation with nanophotonic structures. ACS Photon., 7, 338-343(2020).
[32] J. Zhou, S. Liu, H. Qian, Y. Li, H. Luo, S. Wen, Z. Zhou, G. Guo, B. Shi, Z. Liu. Metasurface enabled quantum edge detection. Sci. Adv., 6, eabc4385(2020).
[33] T. Zhu, J. Huang, Z. Ruan. Optical phase mining by adjustable spatial differentiator. Adv. Photon., 2, 016001(2020).
[34] M. L. Boas. Mathematical Methods in the Physical Sciences(2005).
[35] D. A. Bykov, L. L. Doskolovich, E. A. Bezus, V. A. Soifer. Optical computation of the Laplace operator using phase-shifted Bragg grating. Opt. Express, 22, 25084-25092(2014).
[36] C. Guo, M. Xiao, M. Minkov, Y. Shi, S. Fan. Photonic crystal slab Laplace operator for image differentiation. Optica, 5, 251-256(2018).
[37] C. W. Hsu, B. Zhen, A. D. Stone, J. D. Joannopoulos, M. Soljačić. Bound states in the continuum. Nat. Rev. Mater., 1, 16048(2016).
[38] C. Huang, C. Zhang, S. Xiao, Y. Wang, Y. Fan, Y. Liu, N. Zhang, G. Qu, H. Ji, J. Han, L. Ge, Y. Kivshar, Q. Song. Ultrafast control of vortex microlasers. Science, 367, 1018-1021(2020).
[39] X. Yin, J. Jin, M. Soljačić, C. Peng, B. Zhen. Observation of topologically enabled unidirectional guided resonances. Nature, 580, 467-471(2020).
[40] B. Wang, W. Liu, M. Zhao, J. Wang, Y. Zhang, A. Chen, F. Guan, X. Liu, L. Shi, J. Zi. Generating optical vortex beams by momentum-space polarization vortices centred at bound states in the continuum. Nat. Photonics, 14, 623-628(2020).
[41] Z. Liu, Y. Xu, Y. Lin, J. Xiang, T. Feng, Q. Cao, J. Li, S. Lan, J. Liu. High-
[42] K. Koshelev, S. Lepeshov, M. Liu, A. Bogdanov, Y. Kivshar. Asymmetric metasurfaces with high-
[43] E. Palik, G. Ghosh. Handbook of Optical Constants of Solids(1985).