Polarization singularities in planar electromagnetic resonators with rotation and mirror symmetries

Jie Yang; Xuezhi Zheng; Jiafu Wang; Anxue Zhang; Tie Jun Cui; Guy A. E. Vandenbosch

doi:10.1364/PRJ.485625

[1] J. F. Nye. Lines of circular polarization in electromagnetic wave fields. Proc. R. Soc. A, 389, 279-290(1983).

[2] J. F. Nye. Polarization effects in the diffraction of electromagnetic waves: the role of disclinations. Proc. R. Soc. A, 387, 105-132(1983).

[3] T. Bauer, P. Banzer, E. Karimi, S. Orlov, A. Rubano, L. Marrucci, E. Santamato, R. W. Boyd, G. Leuchs. Observation of optical polarization Möbius strips. Science, 347, 964-966(2015).

[4] E. Pisanty, G. J. Machado, V. Vicuña-Hernández, A. Picón, A. Celi, J. P. Torres, M. Lewenstein. Knotting fractional order knots with the polarization state of light. Nat. Photonics, 13, 569-574(2019).

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

[6] Y. Shen, X. Wang, Z. Xie, C. Min, X. Fu, Q. Liu, M. Gong, X. Yuan. Optical vortices 30 years on: OAM manipulation from topological charge to multiple singularities. Light Sci. Appl., 8, 90(2019).

[7] G. Milione, H. I. Sztul, D. A. Nolan, R. R. Alfano. Higher-order Poincaré sphere, Stokes parameters, and the angular momentum of light. Phys. Rev. Lett., 107, 053601(2011).

[8] H. M. Doeleman, F. Monticone, W. den Hollander, A. Alù, A. F. Koenderink. Experimental observation of a polarization vortex at an optical bound state in the continuum. Nat. Photonics, 12, 397-401(2018).

[9] 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).

[10] Z. Che, Y. Zhang, W. Liu, M. Zhao, J. Wang, W. Zhang, F. Guan, X. Liu, W. Liu, L. Shi, J. Zi. Polarization singularities of photonic quasicrystals in momentum space. Phys. Rev. Lett., 127, 043901(2021).

[11] E. N. Bulgakov, D. N. Maksimov. Bound states in the continuum and polarization singularities in periodic arrays of dielectric rods. Phys. Rev. A, 96, 063833(2017).

[12] W. Liu, W. Liu, L. Shi, Y. Kivshar. Topological polarization singularities in metaphotonics. Nanophotonics, 10, 1469-1486(2021).

[13] W. Chen, Y. Chen, W. Liu. Singularities and Poincaré indices of electromagnetic multipoles. Phys. Rev. Lett., 122, 153907(2019).

[14] W. Chen, Y. Chen, W. Liu. Line singularities and Hopf indices of electromagnetic multipoles. Laser Photon. Rev., 14, 2000049(2020).

[15] M. V. Berry, M. R. Dennis. The optical singularities of birefringent dichroic chiral crystals. Proc. R. Soc. A, 459, 1261-1292(2003).

[16] W. Chen, Q. Yang, Y. Chen, W. Liu. Extremize optical chiralities through polarization singularities. Phys. Rev. Lett., 126, 253901(2021).

[17] R. P. Senthilkumaran, S. K. Pal. Phase singularities to polarization singularities. Int. J. Opt., 2020, 2812803(2020).

[18] J. V. Hajnal. Observations of singularities in the electric and magnetic fields of freely propagating microwaves. Proc. R. Soc. A, 430, 413-421(1990).

[19] A. M. Yao, M. J. Padgett. Orbital angular momentum: origins, behavior and applications. Adv. Opt. Photon., 3, 161-204(2011).

[20] Y. Kozawa, S. Sato. Optical trapping of micrometer-sized dielectric particles by cylindrical vector beams. Opt. Express, 18, 10828-10833(2010).

[21] P. Shi, L. Du, X. Yuan. Structured spin angular momentum in highly focused cylindrical vector vortex beams for optical manipulation. Opt. Express, 26, 23449-23459(2018).

[22] G. Situ, G. Pedrini, W. Osten. Spiral phase filtering and orientation-selective edge detection/enhancement. J. Opt. Soc. Am. A, 26, 1788-1797(2009).

[23] B. S. B. Ram, P. Senthilkumaran, A. Sharma. Polarization-based spatial filtering for directional and nondirectional edge enhancement using an S-waveplate. Appl. Opt., 56, 3171-3178(2017).

[24] B. S. B. Ram, P. Senthilkumaran. Edge enhancement by negative Poincare–Hopf index filters. Opt. Lett., 43, 1830-1833(2018).

[25] J. Bravo-Abad, M. Ibanescu, J. D. Joannopoulos, M. Soljacic. Observation of polarization singularities at the nanoscale. Phys. Rev. A, 74, 053619(2006).

[26] I. Fushman, D. Englund, A. Faraon, N. Stoltz, P. Petroff, J. Vuckovic. Controlled phase shifts with a single quantum dot. Science, 320, 769-772(2008).

[27] S. Tsesses, E. Ostrovsky, K. Cohen, B. Gjonaj, N. H. Lindner, G. Bartal. Optical skyrmion lattice in evanescent electromagnetic fields. Science, 361, 993-996(2018).

[28] L. Du, A. Yang, A. V. Zayats, X. Yuan. Deep-subwavelength features of photonic skyrmions in a confined electromagnetic field with orbital angular momentum. Nat. Phys., 15, 650-654(2019).

[29] Y. Dai, Z. Zhou, A. Ghosh, R. S. K. Mong, A. Kubo, C.-B. Huang, H. Petek. Plasmonic topological quasiparticle on the nanometre and femtosecond scales. Nature, 588, 616-619(2020).

[30] Q. Zhang, Z. Xie, L. Du, P. Shi, X. Yuan. Bloch-type photonic skyrmions in optical chiral multilayers. Phys. Rev. Res., 3, 023109(2021).

[31] S. Quabis, R. Dorn, M. Eberler, O. Glöckl, G. Leuchs. Focusing light to a tighter spot. Opt. Commun., 179, 1-7(2000).

[32] R. Dorn, S. Quabis, G. Leuchs. Sharper focus for a radially polarized light beam. Phys. Rev. Lett., 91, 233901(2003).

[33] L. E. Helseth. Smallest focal hole. Opt. Commun., 257, 1-8(2006).

[34] B. Hao, J. Burch, J. Leger. Smallest flattop focus by polarization engineering. Appl. Opt., 47, 2931-2940(2008).

[35] S. M. Mohammadi, L. K. S. Daldorff, J. E. S. Bergman, R. L. Karlsson, B. Thide, K. Forozesh, T. D. Carozzi, B. Isham. Orbital angular momentum in radio—a system study. IEEE Trans. Antennas Propag., 58, 565-572(2010).

[36] M. D. Williams, M. M. Coles, K. Saadi, D. S. Bradshaw, D. L. Andrews. Optical vortex generation from molecular chromophore arrays. Phys. Rev. Lett., 111, 153603(2013).

[37] M. M. Coles, M. D. Williams, K. Saadi, D. S. Bradshaw, D. L. Andrews. Chiral nanoemitter array: a launchpad for optical vortices. Laser Photon. Rev., 7, 1088-1092(2013).

[38] X. Cai, J. Wang, M. J. Strain, B. Johnson-Morris, J. Zhu, M. Sorel, J. L. O’Brien, M. G. Thompson, S. Yu. Integrated compact optical vortex beam emitters. Science, 338, 363-366(2012).

[39] P. Miao, Z. Zhang, J. Sun, W. Walasik, S. Longhi, N. M. Litchinitser, L. Feng. Orbital angular momentum microlaser. Science, 353, 464-467(2016).

[40] N. C. Zambon, P. St-Jean, M. Milicevic, A. Lemaître, A. Harouri, L. Le Gratiet, O. Bleu, D. D. Solnyshkov, G. Malpuech, I. Sagnes, S. Ravets, A. Amo, J. Bloch. Optically controlling the emission chirality of microlasers. Nat. Photonics, 13, 283-288(2019).

[41] 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).

[42] 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).

[43] N. Bozinovic, Y. Yue, Y. Ren, 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).

[44] J. W. Zhang, J. Y. Liu, L. Shen, L. Zhang, J. Luo, J. Liu, S. Y. Yu. Mode-division multiplexed transmission of wavelength-division multiplexing signals over a 100-km single-span orbital angular momentum fiber. Photon. Res., 8, 1236-1242(2020).

[45] W. Y. Tsai, J. S. Huang, C. B. Huang. Selective trapping or rotation of isotropic dielectric microparticles by optical near field in a plasmonic archimedes spiral. Nano Lett., 14, 547-552(2014).

[46] B. Zhen, C. W. Hsu, L. Lu, A. D. Stone, M. Soljačić. Topological nature of optical bound states in the continuum. Phys. Rev. Lett., 113, 257401(2014).

[47] J. Yang, X. Z. Zheng, J. F. Wang, Y. T. Pan, A. X. Zhang, T. J. Cui, G. A. E. Vandenbosch. Symmetry-protected spoof localized surface plasmonic skyrmion. Laser Photon. Rev., 16, 2200007(2022).

[48] J.-P. Serre. Linear Representations of Finite Groups(1977).

[49] M. Tinkham. Group Theory and Quantum Mechanics(2003).

[50] J. Yang, P. Y. Feng, F. Han, X. Z. Zheng, J. F. Wang, Z. W. Jin, N. Verellen, J. C. Ni, W. J. Chen, Y. J. Yang, A. X. Zhang, C. W. Qiu, G. A. E. Vandenbosch. Symmetry-compatible angular momentum conservation relation in plasmonic vortex lenses with rotational symmetries. arXiv(2022).

[51] J. Yang, X. Z. Zheng, J. F. Wang, A. X. Zhang, T. J. Cui, G. A. E. Vandenbosch. Customizing the topological charges of vortex modes by exploiting symmetry principles. Laser Photon. Rev., 16, 2100373(2022).

[52] Q. Wang, C. H. Tu, Y. N. Li, H. T. Wang. Polarization singularities: progress, fundamental physics, and prospects. APL Photon., 6, 040901(2021).

[53] I. Freund. Möbius strips and twisted ribbons in intersecting Gauss-Laguerre beams. Opt. Commun., 284, 3816-3845(2011).

[54] X. Lu, Z. Wu, W. Zhang, L. Chen. Polarization singularities and orbital angular momentum sidebands from rotational symmetry broken by the Pockels effect. Sci. Rep., 4, 4865(2014).

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