Photonics Research, Volume. 9, Issue 9, 1758(2021)
Laplace metasurfaces for optical analog computing based on quasi-bound states in the continuum Editors' Pick
[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).
Get Citation
Copy Citation Text
Danping Pan, Lei Wan, Min Ouyang, Wei Zhang, Alexander A. Potapov, Weiping Liu, Zixian Liang, Tianhua Feng, Zhaohui Li, "Laplace metasurfaces for optical analog computing based on quasi-bound states in the continuum," Photonics Res. 9, 1758 (2021)
Category: Nanophotonics and Photonic Crystals
Received: Apr. 5, 2021
Accepted: Jun. 1, 2021
Published Online: Aug. 20, 2021
The Author Email: Tianhua Feng (thfeng@jnu.edu.cn), Zhaohui Li (lzhh88@sysu.edu.cn)