Abstract
In this article, a simple method to tailor the focal patterns of high NA parabolic mirror by manipulating the position of vortex pair of opposite topological charge nested in an azimuthally polarized Gaussian beam is demonstrated numerically using Vector Diffraction Theory. It is observed that proper manipulation of position between the vortex pair generates novel focal patterns including focal hole, transversely polarized focal spot and flat top focus of sub wavelength scale are generated.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Barreiro, J.T., Wei, T.C., Kwiat, P.G.: Remote preparation of single-photon “hybrid’’ entangled and vector-polarization states. Phys. Rev. Lett. 105, 030407 (2010)
Bouhelier, A., Beversluis, M., Hartschuh, A., Novotny, L.: Near-field second-harmonic generation induced by local field enhancement. Phys. Rev. Lett. 90, 013903 (2003)
Brandao, P.A., Julião, C.S.: Symmetry breaking of optical vortices: birth and annihilation of singularities in the evanescent field. Opt. Lett. 36, 1563–1565 (2011)
Chen, Z., Pu, J., Zhao, D.: Tight focusing properties of linearly polarized Gaussian beam with a pair of vortices. Phys. Lett. A. 375, 2958–2963 (2011)
Cho, Seong-Woo, Kim, Hwi, Hahn, Joonku, Lee, Byoungho: Generation of multiple vortex-cones by direct-phase modulation of annular aperture array. Appl. Opt. 51, 7295–7302 (2012)
Davidson, N., Bokor, N.: High-numerical-aperture focusing of radially polarized doughnut beams with a parabolic mirror and a flat diffractive lens. Opt. Lett. 29, 1318–1320 (2004)
Dickey, F.M, Holswade, S.C.: Laser beam shaping: theory and techniques (Marcel Dekker, 2000)
Engel, E., Huse, N., Klar, T.A., Hell, S.W.: Creating λ/3 focal holes with a Mach–Zehnder interferometer. Appl. Phys. B 77, 11–17 (2003)
Fang, G., Tian, B., Pu, J.: Focusing properties of the double-vortex beams through a high numerical-aperture objective. Opt. Laser Technol. 44, 441–445 (2012)
Freund, I., Kessler, D.A.: Critical point trajectory bundles in singular wave fields. Opt. Commun. 187, 71–90 (2001)
Guo, L., Tang, Z., Liang, C., Tan, Z., Liu, J.: Focal properties of cylindrically polarized beams by a high numerical aperture parabolic mirror. Proc. SPIE 7517, 75170A–75171A (2009)
Hao, X., Kuang, C.F., Li, Y.H., Liu, X.: A focal spot with variable intensity distribution for optical tweezers. Laser Phys. Lett. 10, 045602 (2013)
Heckenberg, N.R., Vaupel, M., Malos, J.T., Weiss, C.O.: Optical-vortex pair creation and annihilation and helical astigmatism of a nonplanar ring resonator. Phys. Rev. A 54, 236–239 (1996)
Homburg, O., Mitra, T.: Gaussian-to-top-hat beamshaping: an overview of parameters, methods, and applications. Proc. SPIE 8236, 82360A (2012)
Huang, K., et al.: Optimization-free super-oscillatory lens using phase and amplitude masks. Laser Photon. Rev. 8, 152–157 (2014)
Klar, T.A., Engel, E., Hell, S.W.: Breaking Abbe’s diffraction resolution limit in fluorescence microscopy with stimulated emission depletion beams of various shapes. Phys. Rev. E 64, 066613 (2001)
Lalithambigai, K., Anbarasan, P.M., Rajesh, K.B.: Generation of needle of transversely polarized beam using complex spiral phase mask. Opt. Quantum Electron. 47, 1027–1033 (2015)
Lieb, M., Meixner, A.: A high numerical aperture parabolic mirror as imaging device for confocal microscopy. Opt. Express 8, 458–474 (2001)
Merenda, F., Rohner, J., Fournier, J.-M., Salathe, R.: Miniaturized high NA focusing-mirror multiple optical tweezers. Opt. Express 15(10), 6075–6086 (2007)
Qin, F., Huang, K., Wu, J., Jiao, J., Luo, X., Qiu, C., Hong, M.: Shaping a sub wavelength needle with ultra-long focal length by focusing azimuthally polarized light. Sci. Rep. 5, 9977 (2015)
Romero, L.A., Dickey, F.M.: Lossless laser beam shaping. J. Opt. Soc. Am. A 13, 751–760 (1996)
Roux, F.S.: Dynamical behaviour of optical vortices. Opt. Soc. Am. B. 12, 12–15 (1995)
Shu, G., Dietrich, M.R., Kurz, N., Blinov, B.B.: Trapped ion imaging with a high numerical aperture spherical mirror. J. Phys. B At. Mol. Phys. 42, 154005–154010 (2009)
Sick, B., Hecht, B., Novotny, L.: Orientational imaging of single molecules by annular illumination. Phys. Rev. Lett. 85, 4482 (2000)
Sundaram, C.M., Prabakaran, K., Anbarasan, P.M., Rajesh, K.B., Musthafa, A.M.: Creation of super long transversely polarized optical needle using azimuthally polarized multi Gaussian beam. Chin. Phys. Lett. 33(6), 64203–64206 (2016)
Suresh, P., Mariyal, C., Rajesh, K.B., Pillai, T.V.S., Jaroszewicz, Z.: Generation of a strong uniform transversely polarized no diffracting beam using a high-numerical-aperture lens axicon with a binary phase mask. Appl. Opt. 52, 849–853 (2013)
Varga, P., Török, P.: Focusing of electromagnetic waves by paraboloid mirrors. I. Theory. J. Opt. Soc. Am. A. 17, 2081–2089 (2000a)
Varga, P., Török, P.: Focusing of electromagnetic waves by paraboloid mirrors. II. Numerical results. J. Opt. Soc. Am. A. 17, 2090–2095 (2000b)
Ye, H., et al.: Creation of longitudinally polarized subwavelength hotspot with ultra-thin planar lens: vectorial Rayleigh–Sommerfeld method. Laser Phys. Lett. 10, 065004 (2013)
Youngworth, K.S., Brown, T.G.: Focusing of high numerical aperture cylindrical-vector beams. Opt. Express 7, 77–87 (2000)
Yuan, G.H., Wei, S.B., Yuan, X.C.: Generation of non-diffracting quasi-circular polarization beams using an amplitude modulated phase hologram. Opt. Lett. 36, 3479 (2011)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Janet, C.A.P., Udhayakumar, M., Rajesh, K.B. et al. Generating multiple focal structures with high NA parabolic mirror using azimuthally polarized pair of vortices. Opt Quant Electron 48, 521 (2016). https://doi.org/10.1007/s11082-016-0790-9
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s11082-016-0790-9