Control of phase, polarization, and amplitude based on geometric phase in a racemic helix array

Chao Wu; Quan Li; Zhihui Zhang; Song Zhao; Hongqiang Li

doi:10.1364/PRJ.440166

[1] M. V. Berry. Quantal phase factors accompanying adiabatic changes. Proc. R. Soc. London A, 392, 45-57(1984).

[2] J. Anandan. The geometric phase. Nature, 360, 307-313(1992).

[3] E. Cohen, H. Larocque, F. Bouchard, F. Nejadsattari, Y. Gefen, E. Karimi. Geometric phase from Aharonov–Bohm to Pancharatnam–Berry and beyond. Nat. Rev. Phys., 1, 437-449(2019).

[4] Y. Aharonov, D. Bohm. Significance of electromagnetic potentials in the quantum theory. Phys. Rev., 115, 485-491(1959).

[5] M. R. Pahlavani, F. D. Zela. The Pancharatnam-Berry phase: theoretical and experimental aspects. Theoretical Concepts of Quantum Mechanics(2012).

[6] S. Pancharatnam. Generalized theory of interference and its applications. Proc. Indian Acad. Sci. A, 44, 247-262(1956).

[7] G. Li, S. 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).

[8] X. Xie, M. Pu, J. Jin, M. Xu, Y. Guo, X. Li, P. Gao, X. Ma, X. Luo. Generalized Pancharatnam-Berry phase in rotationally symmetric meta-atoms. Phys. Rev. Lett., 126, 183902(2021).

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

[10] 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).

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

[12] M. Q. Mehmood, S. Mei, S. Hussain, K. Huang, S. Y. Siew, L. Zhang, T. Zhang, X. Ling, H. Liu, J. Teng, A. Danner, S. Zhang, C. W. Qiu. Visible-frequency metasurface for structuring and spatially multiplexing optical vortices. Adv. Mater., 28, 2533-2539(2016).

[13] A. N. Gabriel Biener, V. Kleiner, E. Hasman. Formation of helical beams by use of Pancharatnam–Berry phase optical elements. Opt. Express, 27, 1875-1877(2002).

[14] R. C. Devlin, A. Ambrosio, D. Wintz, S. L. Oscurato, A. Y. Zhu, M. Khorasaninejad, J. Oh, P. Maddalena, F. Capasso. Spin-to-orbital angular momentum conversion in dielectric metasurfaces. Opt. Express, 25, 377-393(2017).

[15] E. Karimi, S. A. Schulz, I. De Leon, H. Qassim, J. Upham, R. W. Boyd. Generating optical orbital angular momentum at visible wavelengths using a plasmonic metasurface. Light Sci. Appl., 3, e167(2014).

[16] Y. Guo, S. Zhang, M. Pu, Q. He, J. Jin, M. Xu, Y. Zhang, P. Gao, X. Luo. Spin-decoupled metasurface for simultaneous detection of spin and orbital angular momenta via momentum transformation. Light Sci. Appl., 10, 63(2021).

[17] G. Ruffato, P. Capaldo, M. Massari, E. Mafakheri, F. Romanato. Total angular momentum sorting in the telecom infrared with silicon Pancharatnam-Berry transformation optics. Opt. Express, 27, 15750-15764(2019).

[18] B. Wang, Y. Wen, J. Zhu, Y. Chen, S. Yu. Sorting full angular momentum states with Pancharatnam-Berry metasurfaces based on spiral transformation. Opt. Express, 28, 16342-16351(2020).

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

[20] G.-Y. Lee, G. Yoon, S.-Y. Lee, H. Yun, J. Cho, K. Lee, H. Kim, J. Rho, B. Lee. Complete amplitude and phase control of light using broadband holographic metasurfaces. Nanoscale, 10, 4237-4245(2018).

[21] G. Ding, K. Chen, X. Luo, G. Qian, J. Zhao, T. Jiang, Y. Feng. Direct routing of intensity-editable multi-beams by dual geometric phase interference in metasurface. Nanophotonics, 9, 2977-2987(2020).

[22] L. Wu, J. Tao, G. X. Zheng. Controlling phase of arbitrary polarizations using both the geometric phase and the propagation phase. Phys. Rev. B, 97, 245426(2018).

[23] W. L. Guo, G. M. Wang, X. Y. Luo, K. Chen, H. P. Li, Y. Feng. Dual-phase hybrid metasurface for independent amplitude and phase control of circularly polarized wave. IEEE Trans. Antennas Propag., 68, 7705-7710(2020).

[24] Z.-L. Deng, M. Jin, X. Ye, S. Wang, T. Shi, J. Deng, N. Mao, Y. Cao, B.-O. Guan, A. Alù, G. Li, X. Li. Full-color complex-amplitude vectorial holograms based on multi-freedom metasurfaces. Adv. Funct. Mater., 30, 1910610(2020).

[25] Q. Jiang, L. Cao, L. Huang, Z. He, G. Jin. A complex-amplitude hologram using an ultra-thin dielectric metasurface. Nanoscale, 12, 24162-24168(2020).

[26] H.-X. Xu, Y. Wang, C. Wang, M. Wang, S. Wang, F. Ding, Y. Huang, X. Zhang, H. Liu, X. Ling, W. Huang. Deterministic approach to achieve full-polarization cloak. Research, 2021, 6382172(2021).

[27] W. Liu, Z. Li, Z. Li, H. Cheng, C. Tang, J. Li, S. Chen, J. Tian. Energy-tailorable spin-selective multifunctional metasurfaces with full Fourier components. Adv. Mater., 31, 1901729(2019).

[28] Y. Zhao, M. A. Belkin, A. Alu. Twisted optical metamaterials for planarized ultrathin broadband circular polarizers. Nat. Commun., 3, 870(2012).

[29] J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. von Freymann, S. Linden, M. Wegener. Gold helix photonic metamaterial as broadband circular polarizer. Science, 325, 1513-1515(2009).

[30] C. Wu, H. Li, X. Yu, F. Li, H. Chen, C. T. Chan. Metallic helix array as a broadband wave plate. Phys. Rev. Lett., 107, 177401(2011).

[31] J. Kaschke, L. Blume, L. Wu, M. Thiel, K. Bade, Z. Yang, M. Wegener. A helical metamaterial for broadband circular polarization conversion. Adv. Opt. Mater., 3, 1411-1417(2015).

[32] R. Barboza, U. Bortolozzo, M. G. Clerc, S. Residori. Berry phase of light under Bragg reflection by chiral liquid-crystal media. Phys. Rev. Lett., 117, 053903(2016).

[33] M. Rafayelyan, G. Agez, E. Brasselet. Ultrabroadband gradient-pitch Bragg-Berry mirrors. Phys. Rev. A, 96, 043862(2017).

[34] M. Rafayelyan, E. Brasselet. Bragg-Berry mirrors: reflective broadband q-plates. Opt. Lett., 41, 3972-3975(2016).

[35] Z. Gong, C. Wu, C. Fang, S. Zhao, A. Sun, Z. Wei, H. Li. Broadband efficient vortex beam generation with metallic helix array. Appl. Phys. Lett., 113, 071104(2018).

[36] C. Fang, C. Wu, Z. Gong, S. Zhao, A. Sun, Z. Wei, H. Li. Broadband and high-efficiency vortex beam generator based on a hybrid helix array. Opt. Lett., 43, 1538-1541(2018).

[37] Q. Wang, E. Plum, Q. Yang, X. Zhang, Q. Xu, Y. Xu, J. Han, W. Zhang. Reflective chiral meta-holography: multiplexing holograms for circularly polarized waves. Light Sci. Appl., 7, 25(2018).

[38] I. Faniayeu, V. Asadchy, I. Fanyaev. Polarization control with helical metasurfaces. Crystals, 10, 726(2020).

[39] M. Wang, R. Salut, H. Lu, M.-A. Suarez, N. Martin, T. Grosjean. Subwavelength polarization optics via individual and coupled helical traveling-wave nanoantennas. Light Sci. Appl., 8, 76(2019).

[40] J. K. Gansel, M. Wegener, S. Burger, S. Linden. Gold helix photonic metamaterials: a numerical parameter study. Opt. Express, 18, 1059-1069(2010).

[41] C. Wu, H. Li, Z. Wei, X. Yu, C. T. Chan. Theory and experimental realization of negative refraction in a metallic helix array. Phys. Rev. Lett., 105, 247401(2010).

[42] C. Menzel, C. Rockstuhl, F. Lederer. Advanced Jones calculus for the classification of periodic metamaterials. Phys. Rev. A, 82, 053811(2010).

[43] F. Tamburini, G. Anzolin, G. Umbriaco, A. Bianchini, C. Barbieri. Overcoming the Rayleigh criterion limit with optical vortices. Phys. Rev. Lett., 97, 163903(2006).

[44] M. Ritsch-Marte. Orbital angular momentum light in microscopy. Philos. Trans. R. Soc. A, 375, 20150437(2017).

[45] M. Padgett, R. Bowman. Tweezers with a twist. Nat. Photonics, 5, 343-348(2011).

[46] V. Bobkova, J. Stegemann, R. Droop, E. Otte, C. Denz. Optical grinder: sorting of trapped particles by orbital angular momentum. Opt. Express, 29, 12967-12975(2021).

[47] Y. R. Nenad Bozinovic, Y. Yue, M. Tur, P. Kristensen, H. Huang, A. E. Willner, S. Ramachandran. Terabit-scale orbital angular momentum mode division multiplexing in fibers. Science, 340, 1545-1548(2013).

[48] 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).

[49] J. Wang. Twisted optical communications using orbital angular momentum. Sci. China Phys. Mech. Astron., 62, 34201(2018).

[50] E.-Y. Song, G.-Y. Lee, H. Park, K. Lee, J. Kim, J. Hong, H. Kim, B. Lee. Compact generation of airy beams with C-aperture metasurface. Adv. Opt. Mater., 5, 1601028(2017).

[51] W. Guo, K. Chen, G. Wang, X. Luo, T. Cai, C. Zhang, Y. Feng. Airy beam generation: approaching ideal efficiency and ultra wideband with reflective and transmissive metasurfaces. Adv. Opt. Mater., 8, 2000860(2020).

[52] H. Li, W. Hao, X. Yin, S. Chen, L. Chen. Broadband generation of airy beams with hyperbolic metamaterials. Adv. Opt. Mater., 7, 1900493(2019).

[53] M. N. Miskiewicz, M. J. Escuti. Direct-writing of complex liquid crystal patterns. Opt. Express, 22, 12691-12706(2014).