Geometric metasurface for polarization synthesis and multidimensional multiplexing of terahertz converged vortices

Yang Zhu; Binbin Lu; Zhiyuan Fan; Fuyong Yue; Xiaofei Zang; Alexei V. Balakin; Alexander P. Shkurinov; Yiming Zhu; Songlin Zhuang

doi:10.1364/PRJ.455459

[1] L. Allen, M. W. Beijersbergen, R. J. Spreeuw, J. P. Woerdman. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. Phys. Rev. A, 45, 8185-8189(1992).

[2] F. Gori. Polarization basis for vortex beams. J. Opt. Soc. Am. A, 18, 1612-1617(2001).

[3] Q. Zhan. Cylindrical vector beams: from mathematical concepts to applications. Adv. Opt. Photon., 1, 1-57(2009).

[4] J. Wang, J.-Y. Yang, I. M. Fazal, N. Ahmed, Y. Yan, H. Huang, Y. Ren, Y. Yue, S. Dolinar, M. Tur, A. E. Willner. Terabit free-space data transmission employing orbital angular momentum multiplexing. Nat. Photonics, 6, 488-496(2012).

[5] Y. Yan, G. Xie, M. P. Lavery, H. Huang, N. Ahmed, C. Bao, Y. Ren, Y. Cao, L. Li, Z. Zhao, A. F. Molisch, M. Tur, M. J. Padgett, A. E. Willner. High-capacity millimetre-wave communications with orbital angular momentum multiplexing. Nat. Commun., 5, 4876(2014).

[6] K. Sueda, G. Miyaji, N. Miyanaga, M. Nakatsuka. Laguerre-Gaussian beam generated with a multilevel spiral phase plate for high intensity laser pulses. Opt. Express., 12, 3548-3553(2004).

[7] E. Karimi, B. Piccirillo, E. Nagali, L. Marrucci, E. Santamato. Efficient generation and sorting of orbital angular momentum eigenmodes of light by thermally tuned q-plates. Appl. Phys. Lett., 94, 231124(2009).

[8] M. W. Beijersbergen, L. Allen, H. E. L. O. van der Veen, J. P. Woerdman. Astigmatic laser mode converters and transfer of orbital angular momentum. Opt. Commun., 96, 123-132(1993).

[9] A. S. Ostrovsky, C. Rickenstorff-Parrao, V. Arrizón. Generation of the “perfect” optical vortex using a liquid-crystal spatial light modulator. Opt. Lett., 38, 534-536(2013).

[10] N. F. 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).

[11] L. L. Huang, X. Z. Chen, H. Muhlenbernd, G. X. Li, B. F. Bai, Q. F. Tan, G. F. Jin, T. Zentgraf, S. Zhang. Dispersionless phase discontinuities for controlling light propagation. Nano Lett., 12, 5750-5755(2012).

[12] X. Chen, L. Huang, H. Mühlenbernd, G. Li, B. Bai, Q. Tan, G. Jin, C. Qiu, S. Zhang, T. Zentgraf. Dual-polarity plasmonic metalens for visible light. Nat. Commun., 3, 1198(2012).

[13] 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(2015).

[14] M. Khorasaninejad, W. T. Chen, R. C. Devlin, J. Oh, A. Y. Zhu, F. Capasso. Metalenses at visible wavelengths: diffraction-limited focusing and subwavelength resolution imaging. Science, 352, 1190-1194(2016).

[15] 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, T. Li, S. N. Zhu, D. P. Tsai. Broadband achromatic optical metasurface devices. Nat. Commun., 8, 187(2017).

[16] W. T. Chen, A. Y. Zhu, V. Sanjeev, M. Khorasaninejad, Z. J. Shi, E. Lee, F. Capasso. A broadband achromatic metalens for focusing and imaging in the visible. Nat. Nanotechnol., 13, 220-226(2019).

[17] R. J. Lin, V.-C. Su, S. Wang, M. K. Chen, T. L. Chung, Y. H. Chen, H. Y. Kuo, J.-W. Chen, J. Chen, Y.-T. Huang, J.-H. Wang, C. H. Chu, P. C. Wu, T. Li, Z. Wang, S. Zhu, D. P. Tsai. Achromatic metalens array for full-colour light-field imaging. Nat. Nanotechnol., 14, 227-231(2019).

[18] Y. Wang, Q. Chen, W. Yang, Z. Ji, L. Jin, X. Ma, Q. Song, A. Boltasseva, J. Han, V. M. Shalaev, S. Xiao. High-efficiency broadband achromatic metalens for near-IR biological imaging window. Nat. Commun., 12, 5560(2021).

[19] N. Yu, F. Aieta, P. Genevet, M. A. Kats, Z. Gaburro, F. Capasso. A broadband, background-free quarter-wave plate based on plasmonic metasurfaces. Nano Lett., 12, 6328-6333(2012).

[20] N. K. Grady, J. E. Heyes, D. R. Chowdhury, Y. Zeng, M. T. Reiten, A. K. Azad, A. J. Taylor, D. A. Dalvit, H. T. Chen. Terahertz metamaterials for linear polarization conversion and anomalous refraction. Science, 340, 1304-1307(2013).

[21] P. C. Wu, W. Y. Tsai, W. T. Chen, Y. W. Huang, T. Y. Chen, J. W. Chen, C. Y. Liao, C. H. Chu, G. Sun, D. P. Tsai. Versatile polarization generation with an aluminum plasmonic metasurface. Nano Lett., 17, 445-452(2017).

[22] D. D. Wen, F. Y. Yue, C. M. Zhang, X. F. Zang, H. G. Liu, W. Wang, X. Z. Chen. Plasmonic metasurface for optical rotation. Appl. Phys. Lett., 111, 023102(2017).

[23] X. F. Zang, F. L. Dong, F. Y. Yue, C. M. Zhang, L. Xu, Z. Song, M. Chen, P. Y. Chen, G. S. Buller, Y. M. Zhu, S. L. Zhuang, W. G. Chu, S. Zhang, X. Z. Chen. Polarization encoded color image embedded in a dielectric metasurface. Adv. Mater., 30, 1707499(2018).

[24] X. F. Zang, H. H. Gong, Z. Li, J. Y. Xie, Q. Q. Cheng, L. Chen, A. P. Shkurinov, Y. M. Zhu, S. L. Zhuang. Metasurface for multi-channel terahertz beam splitters and polarization rotators. Appl. Phys. Lett., 112, 171111(2018).

[25] A. H. Dorrah, N. A. Rubin, A. Zaidi, M. Tamagnone, F. Capasso. Metasurface optics for on-demand polarization transformations along the optical path. Nat. Photonics, 15, 287-296(2021).

[26] L. Q. Cong, N. N. Xu, J. G. Han, W. L. Zhang, R. Singh. A tunable dispersion-free terahertz metadevice with Pancharatnam-Berry-phase-enabled modulation and polarization control. Adv. Mater., 27, 6630-6636(2015).

[27] L. Q. Cong, N. N. Xu, J. Q. Gu, R. Singh, J. G. Han, W. L. Zhang. Highly flexible broadband terahertz metamaterial quarter-wave plate. Laser Photon. Rev., 8, 626-632(2015).

[28] L. Q. Cong, W. Cao, X. Q. Zhang, Z. Tian, J. Q. Gu, R. Singh, J. G. Han, W. L. Zhang. A perfect metamaterial polarization rotator. Appl. Phys. Lett., 103, 171107(2013).

[29] X. B. Yin, Z. L. Ye, J. Rho, Y. Wang, X. Zhang. Photonic spin Hall effect at metasurfaces. Science, 339, 1405-1407(2013).

[30] X. H. Ling, X. X. Zhou, X. N. Yi, W. X. Shu, Y. C. Liu, S. Z. Chen, H. L. Luo, S. C. Wen, D. Y. Fan. Giant photonic spin Hall effect in momentum space in a structured metamaterial with spatially varying birefringence. Light Sci. Appl., 4, e290(2015).

[31] J. Zhou, H. Qian, G. Hu, H. Luo, S. Wen, Z. Liu. Broadband photonic spin Hall meta-lens. ACS Nano, 12, 82-88(2018).

[32] X. F. Zang, B. S. Yao, Z. Li, Y. Zhu, J. Y. Xie, L. Chen, A. V. Balakin, A. P. Shkurinov, Y. M. Zhu, S. L. Zhuang. Geometric phase for multidimensional manipulation of photonics spin Hall effect and helicity-dependent imaging. Nanophotonics, 9, 1501-1508(2020).

[33] X. J. Ni, A. V. Kildishev, V. M. Shalaev, M. Vladimir. Metasurface holograms for visible light. Nat. Commun., 4, 2807(2013).

[34] G. Zheng, H. Mühlenbernd, M. Kenney, G. Li, T. Zentgraf, S. Zhang. Metasurface holograms reaching 80% efficiency. Nat. Nanotechnol., 10, 308-312(2015).

[35] D. Wen, D. F. Yue, G. Li, G. Zheng, K. Chan, S. Chen, M. Chen, K. F. Li, P. W. H. Wong, K. W. Cheah, E. Y. B. Pun, S. Zhang, X. Chen. Helicity multiplexed broadband metasurface holograms. Nat. Commun., 6, 8241(2015).

[36] X. Li, L. W. Chen, Y. Li, X. H. Zhang, M. B. Pu, Z. Y. Zhao, X. L. Ma, Y. Q. Wang, M. H. Hong, X. G. Luo. Multicolor 3D meta-holography by broadband plasmonic modulation. Sci. Adv., 2, e1601102(2016).

[37] L. Jin, Z. Dong, S. Mei, Y. Yu, Z. Wei, Z. Pan, S. Rezaei, X. Li, A. I. Kuznetsov, Y. S. Kivshar, J. K. W. Yang, C. W. Qiu. Noninterleaved metasurface for (2⁶ − 1) spin- and wavelength-encoded holograms. Nano Lett., 18, 8016-8024(2018).

[38] L. Jin, Y. W. Huang, Z. Jin, R. C. Devlin, Z. Dong, S. Mei, M. Jiang, W. T. Chen, Z. Wei, H. Liu, J. Teng, A. Danner, X. Li, S. Xiao, S. Zhang, C. Yu, J. K. W. Yang, F. Capasso, C. W. Qiu. Dielectric multi-momentum meta-transformer in the visible. Nat. Commun., 10, 4789(2019).

[39] Q. Song, A. Baroni, R. Sawant, P. Ni, V. Brandli, S. Chenot, S. Vezian, B. Damilano, P. de Mierry, S. Khadir, P. Ferrand, P. Genevet. Ptychography retrieval of fully polarized holograms from geometric-phase metasurfaces. Nat. Commun., 11, 2651(2020).

[40] G. X. Li, S. M. Chen, N. Pholchai, B. Reineke, P. W. H. Wong, E. Y. B. Pun, K. W. Cheah, T. Zentgraf, S. Zhang. Continuous control of the nonlinearity phase for harmonic generations. Nat. Mater., 14, 607-612(2015).

[41] W. Ye, F. Zeuner, X. Li, B. Reineke, S. He, C. W. Qiu, J. Liu, Y. Wang, S. Zhang, T. Zentgraf. Spin and wavelength multiplexed nonlinear metasurface holography. Nat. Commun., 7, 11930(2016).

[42] Z. Li, W. Liu, Z. Li, C. Tang, H. Cheng, J. Li, X. Chen, S. Chen, J. Tian. Tripling the capacity of optical vortices by nonlinear metasurface. Laser Photon. Rev., 12, 1800164(2018).

[43] G. Hu, X. Hong, K. Wang, J. Wu, H.-X. Xu, W. Zhao, W. Liu, S. Zhang, F. Garcia-Vidal, B. Wang, P. Lu, C. W. Qiu. Coherent steering of nonlinear chiral valley photons with a synthetic Au–WS₂ metasurface. Nat. Photonics, 13, 467-472(2019).

[44] A. Arbabi, Y. Horie, M. Bagheri, A. Faraon. Dielectric metasurfaces for complete control of phase and polarization with subwavelength spatial resolution and high transmission. Nat. Nanotechnol., 10, 937-943(2015).

[45] H. Cheng, Z. Liu, S. Chen, J. Tian. Emergent functionality and controllability in few-layer metasurfaces. Adv. Mater., 27, 5410-5421(2015).

[46] E. Maguid, I. Yulevich, D. Veksler, V. Kleiner, M. L. Brongersma, E. Hasman. Photonic spin-controlled multifunctional shared-aperture antenna array. Science, 352, 1202-1206(2015).

[47] Y. Yuan, K. Zhang, B. Ratni, Q. Song, X. Ding, Q. Wu, S. N. Burokur, P. Genevet. Independent phase modulation for quadruplex polarization channels enabled by chirality-assisted geometric-phase metasurfaces. Nat. Commun., 11, 4186(2020).

[48] K. Zhang, Y. Yuan, X. Ding, H. Li, B. Ratni, Q. Wu, J. Liu, S. N. Burokur, J. Tan. Polarization-engineered noninterleaved metasurface for integer and fractional orbital angular momentum multiplexing. Laser Photon. Rev., 15, 2000351(2020).

[49] F. Yue, D. Wen, J. Xin, B. D. Gerardot, J. Li, X. Chen. Vector vortex beam generation with a single plasmonic metasurface. ACS Photon., 3, 1558-1563(2016).

[50] 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).

[51] Y. Zhang, W. Liu, J. Gao, X. Yang. Generating focused 3D perfect vortex beams by plasmonic metasurfaces. Adv. Opt. Mater., 6, 1701228(2018).

[52] J. Han, Y. Intaravanne, A. Ma, R. Wang, S. Li, Z. Li, S. Chen, J. Li, X. Chen. Optical metasurfaces for generation and superposition of optical ring vortex beams. Laser Photon. Rev., 14, 2000146(2020).

[53] M. Liu, P. Huo, W. Zhu, C. Zhang, S. Zhang, M. Song, S. Zhang, Q. Zhou, L. Chen, H. J. Lezec, A. Agrawal, Y. Lu, T. Xu. Broadband generation of perfect Poincaré beams via dielectric spin-multiplexed metasurface. Nat. Commun., 12, 2230(2021).

[54] J. Xie, H. Guo, S. Zhuang, J. Hu. Polarization-controllable perfect vortex beam by a dielectric metasurface. Opt. Express, 29, 3081-3089(2021).

[55] F. Yue, D. Wen, C. Zhang, B. D. Gerardot, W. Wang, S. Zhang, X. Chen. Multichannel polarization-controllable superpositions of orbital angular momentum states. Adv. Mater., 29, 1603838(2017).

[56] H. Zhao, B. Quan, X. Wang, C. Gu, J. Li, Y. Zhang. Demonstration of orbital angular momentum multiplexing and demultiplexing based on a metasurface in the terahertz band. ACS Photon., 5, 1726-1732(2017).

[57] Y. Li, X. Li, L. Chen, M. Pu, J. Jin, M. Hong, X. Luo. Orbital angular momentum multiplexing and demultiplexing by a single metasurface. Adv. Opt. Mater., 5, 1600502(2015).

[58] Y. Ou, M. Zhang, F. Zhang, J. Cai, H. Yu. All-dielectric metasurfaces for generation and detection of multi-channel vortex beams. Appl. Phys. Express, 12, 082004(2019).

[59] S. Zhang, P. Huo, W. Zhu, C. Zhang, P. Chen, M. Liu, L. Chen, H. J. Lezec, A. Agrawal, Y. Lu, T. Xu. Broadband detection of multiple spin and orbital angular momenta via dielectric metasurface. Laser Photon. Rev., 14, 2000062(2020).

[60] S. Liu, C. Li, J. Liu, L. Zhu, Z. Xu, J. Zhou, Q. Yang, J. Wang. Multiple orbital angular momentum (OAM) modes (de)multiplexer based on single complex phase mask. European Conference on Optical Communication (ECOC)(2014).

[61] P. Huo, C. Zhang, W. Zhu, M. Liu, S. Zhang, S. Zhang, L. Chen, H. J. Lezec, A. Agrawal, Y. Lu, T. Xu. Photonic spin-multiplexing metasurface for switchable spiral phase contrast imaging. Nano Lett., 20, 2791-2798(2020).

[62] J. Hu, D. Wang, D. Bhowmik, T. Liu, S. Deng, M. P. Knudson, X. Ao, T. W. Odom. Lattice-resonance metalenses for full reconfigurable imaging. ACS Nano, 13, 4613-4620(2019).

[63] S. Colburn, A. Zhan, A. Majumdar. Metasurface optics for full-color computational imaging. Sci. Adv., 4, eaar2114(2018).