Focusing characteristics of Riemann-Silberstein vortices of edge-dislocation Gaussian beam passing through a bifocal lens

Hongwei Yan

doi:10.11884/HPLPB202234.210317

[1] Heckenberg N R, McDuff R, Smith C P, et al. Generation of optical phase singularities by computer-generated holograms[J]. Opt Lett, 17, 221-223(1992).

[2] Dennis M R, O’Holleran K, Padgett M J. Chapter 5 singular optics: optical vortices and polarization singularities[J]. Prog Opt, 53, 293-363(2009).

[3] Nye J F, Hajnal J V. The wave structure of monochromatic electromagnetic radiation[J]. Proc Roy Soc A, 409, 21-36(1987).

[4] Bialynicki-Birula I, Bialynicka-Birula Z. Vortex lines of the electromagnetic field[J]. Phys Rev A, 67, 062114(2003).

[5] Kaiser G. Helicity, polarization and Riemann-Silberstein vortices[J]. J Opt A Pure Appl Opt, 6, S243-S245(2004).

[6] Berry M V. Riemann-Silberstein vortices for paraxial waves[J]. J Opt A Pure Appl Opt, 6, S175-S177(2004).

[7] Lian Xiaoxu, Deng Chunsheng, Lü Baida. Dynamic evolution of Riemann-Silberstein vortices for Gaussian vortex beams[J]. Opt Commun, 285, 497-502(2012).

[8] Chen Haitao, Gao Zenghui, Yang Huajun, et al. Propagation of Riemann-Silberstein vortices through an astigmatic lens[J]. J Opt Soc Am A, 29, 2406-2414(2012).

[9] Nye J F. The life-cycle of Riemann-Silberstein electromagnetic vortices[J]. J Opt, 19, 115002(2017).

[10] Nye J F. Perturbing the polarisation of Riemann-Silberstein electromagnetic vortices[J]. J Opt, 21, 015002(2019).

[11] Lü Baida. Laser optics[M]. 3rd ed. Beijing: Higher Education Press, 2003: 119122

[15] Molina-Terriza G, Recolons J, Torner L. The curious arithmetic of optical vortices[J]. Opt Lett, 25, 1135-1137(2000).