Generalization of Pancharatnam-Berry phase interference theory for fabricating phase-integrated liquid crystal optical elements

References

• Miyamoto K. Fish eye lens. J Opt Soc Am. 1964;54(8):1060–1061.
   Web of Science ®Google Scholar
• Koomen M, Scolnik R, Tousey R. A study of night Myopia. J Opt Soc Am. 1951;41(2):80–90.
   Web of Science ®Google Scholar
• Bomzon Z, Biener G, Kleiner V, et al. Space-variant Pancharatnam–Berry phase optical elements with computer-generated subwavelength gratings. Opt Lett. 2002;27(13):1141–1143.
   PubMed Web of Science ®Google Scholar
• Biener G, Niv A, Kleiner V, et al. Formation of helical beams by use of Pancharatnam–Berry phase optical elements. Opt Lett. 2002;27(21):1875–1877.
   PubMed Web of Science ®Google Scholar
• Zhou Y, Yin Y, Yuan Y, et al. Liquid crystal Pancharatnam-Berry phase lens with spatially separated focuses. Liq Cryst. 2019(46):995–1000.
   Web of Science ®Google Scholar
• Ke Y, Liu Y, Zhou J, et al. Optical integration of Pancharatnam-Berry phase lens and dynamical phase lens. Appl Phys Lett. 2016;108(10):101102.
   Web of Science ®Google Scholar
• Zhan T, Lee YH, Tan G, et al. Pancharatnam–Berry optical elements for head-up and near-eye displays. J Opt Soc Am B. 2019;36(5):D52–D65.
   Web of Science ®Google Scholar
• Ma HF, Chen X, Xu HS, et al. Experiments on high-performance beam-scanning antennas made of gradient-index metamaterials. Appl Phys Lett. 2009;95(9):094107.
   Web of Science ®Google Scholar
• Gao K, Cheng HH, Bhowmik AK, et al. Thin-film Pancharatnam lens with low f-number and high quality. Opt Express. 2015;23(20):26086–26094.
   PubMed Web of Science ®Google Scholar
• Chen X, Huang L, Mühlenbernd H, et al. Dual-polarity plasmonic metalens for visible light. Nat Commun. 2012;3:1198.
   PubMed Web of Science ®Google Scholar
• Slussarenko S, Murauski A, Du T, et al. Tunable liquid crystal q-plates with arbitrary topological charge. Opt Express. 2011;19(5):4085–4090.
   PubMed Web of Science ®Google Scholar
• Chen P, Wei BY, Ji W, et al. Arbitrary and reconfigurable optical vortex generation: a high-efficiency technique using director-varying liquid crystal fork gratings. Photonics Res. 2015;3(4):133–139.
   Web of Science ®Google Scholar
• Wei BY, Chen P, Hu W, et al. Polarization-controllable airy beams generated via a photoaligned director-variant liquid crystal mask. Sci Rep. 2015;5:17484.
   PubMed Web of Science ®Google Scholar
• Allen L, Beijersbergen MW, Spreeuw RJC, et al. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes. Phys Rev A. 1992;45(11):8185.
   PubMed Web of Science ®Google Scholar
• Marrucci L, Manzo C, Paparo D. Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media. Phys Rev Lett. 2006;96(16):163905.
   PubMed Web of Science ®Google Scholar
• Lin T, Zhou Y, Yuan Y, et al. Transflective spin-orbital angular momentum conversion device by three-dimensional multilayer liquid crystalline materials. Opt Express. 2018;26(22):29244–29252.
   PubMed Web of Science ®Google Scholar
• Li S, Wang J. Experimental demonstration of optical interconnects exploiting orbital angular momentum array. Opt Express. 2017;25(18):21537–21547.
   PubMed Web of Science ®Google Scholar
• Franke‐Arnold S, Allen L, Padgett M. Advances in optical angular momentum. Laser Photon Rev. 2008;2(4):299–313.
   Web of Science ®Google Scholar
• Paterson L, MacDonald MP, Arlt J, et al. Controlled rotation of optically trapped microscopic particles. Science. 2001;292(5518):912–914.
   PubMed Web of Science ®Google Scholar
• Ding DS, Zhang W, Zhou ZY, et al. Quantum storage of orbital angular momentum entanglement in an atomic ensemble. Phys Rev Lett. 2015;114(5):050502.
   PubMed Web of Science ®Google Scholar
• Toyoda K, Miyamoto K, Aoki N, et al. Using optical vortex to control the chirality of twisted metal nanostructures. Nano Lett. 2012;12(7):3645–3649.
   PubMed Web of Science ®Google Scholar
• Beijersbergen MW, Coerwinkel RPC, Kristensen M, et al. Helical-wavefront laser beams produced with a spiral phaseplate. Opt Commun. 1994;112(5–6):321–327.
   Web of Science ®Google Scholar
• Bazhenov VY, Vasnetsov MV, Soskin MS. Laser beams with screw dislocations in their wavefronts. Jetp Lett. 1990;52(8):429–431.
   Web of Science ®Google Scholar
• Heckenberg NR, McDuff R, Smith CP, et al. Generation of optical phase singularities by computer-generated holograms. Opt Lett. 1992;17(3):221–223.
   PubMed Web of Science ®Google Scholar
• Liu YJ, Sun XW, Luo D, et al. Generating electrically tunable optical vortices by a liquid crystal cell with patterned electrode. Appl Phys Lett. 2008;92(10):101114.
   Web of Science ®Google Scholar
• Zhan T, Xiong J, Lee YH, et al. Fabrication of Pancharatnam-Berry phase optical elements with highly stable polarization holography. Opt Express. 2019;27(3):2632–2642.
   PubMed Web of Science ®Google Scholar
• Li Y, Liu Y, Li S, et al. Single-exposure fabrication of tunable Pancharatnam-Berry devices using a dye-doped liquid crystal. Opt Express. 2019;27(6):9054–9060.
   PubMed Web of Science ®Google Scholar
• Wei B, Hu W, Ming Y, et al. Generating switchable and reconfigurable optical vortices via photopatterning of liquid crystals. Adv Mater. 2014;26(10):1590–1595.
   PubMed Web of Science ®Google Scholar
• Crawford GP, Eakin JN, Radcliffe MD, et al. Liquid-crystal diffraction gratings using polarization holography alignment techniques. J Appl Phys. 2005;98(12):123102.
   Web of Science ®Google Scholar
• Nersisyan SR, Tabiryan NV, Steeves DM, et al. Characterization of optically imprinted polarization gratings[J]. Appl Opt. 2009;48(21):4062–4067.
   PubMed Web of Science ®Google Scholar
• Tam AMW, Fan F, Du T, et al. Bifocal optical-vortex lens with sorting of the generated nonseparable spin-orbital angular-momentum states. Phys Rev Appl. 2017;7(3):034010.
   Web of Science ®Google Scholar
• Schadt M, Schmitt K, Kozinkov V, et al. Surface-induced parallel alignment of liquid crystals by linearly polymerized photopolymers. Jpn J Appl Phys. 1992;31(7R):2155.
   Web of Science ®Google Scholar
• Schadt M, Seiberle H, Schuster A. Optical patterning of multi-domain liquid-crystal displays with wide viewing angles. Nature. 1996;381(6579):212.
   Web of Science ®Google Scholar
• Ichimura K. Photoalignment of liquid-crystal systems. Chem Rev. 2000;100(5):1847–1874.
   PubMed Web of Science ®Google Scholar
• Liu D, Broer DJ. Liquid crystal polymer networks: preparation, properties, and applications of films with patterned molecular alignment. Langmuir. 2014;30(45):13499–13509.
   PubMed Web of Science ®Google Scholar
• Kim J, Li Y, Miskiewicz MN, et al. Fabrication of ideal geometric-phase holograms with arbitrary wavefronts. Optica. 2015;2(11):958–964.
   Web of Science ®Google Scholar