Abstract
Based on the vector diffraction theory, the effect of phase modulation on the intensity distribution of double ring shaped radially polarized beam(R-TEM11*) in the focal region of high NA lens is investigated theoretically. It is observed that a properly designed complex phase filter can generate a sub wavelength focal spot having FWHM of 0.3λ with an extended focal depth of 10λ. Apart from generating focal spot segment with large focal depth, it is also observed that a properly designed complex phase filter also generate optical cage, multiple focal spot segment useful for the manipulation of optical trapping.
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K.S. Youngworth, T.G. Brown, Focusing of high numerical aperture cylindrical-vector beams. Opt. Express 7, 77–87 (2000)
S. Quabis, R. Dorn, M. Eberler, O. Glöckl, G. Leuchs, Focusing light to a tighter spot. Opt. Commun. 179, 1–7 (2000)
R.D. Romea, W.D. Kimura, Modeling of inverse Cerenkov laser acceleration with axicon laser-beam focusing. Phys. Rev. D 42, 1807–1818 (1990)
L. Novotny, M.R. Beversluis, K.S. Youngworth, T.G. Brown, Continuum generation from single gold nanostructures through near-field mediated intraband transitions. Phys. Rev. B 68, 115433–115443 (2003)
E. Yew, C. Sheppard, Second harmonic generation microscopy with tightly focused linearly and radially polarized beams. Opt. Commun. 275, 453–457 (2007)
N. Hayazawa, Y.S. Saito, S. Kawata, Detection and characterizationof longitudinal field for tip-enhanced Raman spectroscopy. Appl. Phys. Lett. 85, 6239–6241 (2004)
C.J.R. Sheppard, A. Choudhury, Annular pupils, radial polarization, and superresolution. Appl. Opt. 43, 4322–4327 (2004)
W. Chen, Q. Zhan, Three-dimensional focus shaping with cylindrical vector beams. Opt. Commun. 265, 411–417 (2006)
N. Bokor, N. Davidson, A three dimensional dark focal spot uniformly surrounded by light. Opt. Commun. 279, 229–234 (2007)
T. Moser, H. Glur, V. Romano, F. Pigeon, Q. Parriaux, M.A. Ahmed et al., Polarization-selective grating mirrors used in the generation of radial polarization. Appl. Phys. B 80, 707–713 (2005)
Y. Kozawa, S. Sato, Generation of a radially polarized laser beam by use of a conical Brewster prism. Opt. Lett. 30, 3063–3065 (2005)
K. Yonezawa, Y. Kozawa, S. Sato, Generation of a radially polarized laser beam by use of the birefringence of a c-cut Nd: YVO4 crystal. Opt. Lett. 31, 2151–2153 (2006)
Y. Kozawa, S. Sato, Focusing property of a double-ring-shaped radiallypolarized beam. Opt. Lett. 31, 820–822 (2006)
Y. Kozawa, S. Sato, Sharper focal spot formed by higher-order radially polarized laser beams. J. Opt. Soc. Am. A 24, 1793–1798 (2007)
A. Ashkin, J.M. Dziedzic, J.E. Bjorkholm, S. Chu, Observation of a single-beam gradient force optical trap for dielectric particles. Opt. Lett. 11, 288–290 (1986)
B.T. Unger, P.L. Marston, Optical levitation of bubbles in water by the radiation pressure of a laser beam: an acoustically quiet levitator. J. Acoust. Soc. Am. 83, 970–975 (1988)
J.C. Crocker, D. Grier, Microscopic measurement of the pair interaction potential of charge-stabilized colloid. Phys. Rev. Lett. 73, 352–355 (1994)
W.H. Wright, G. Sonek, Y. Tadir, M.W. Berns, Laser trapping in cell biology. IEEE J. Quantum Electron. 26, 2148–2157 (1990)
Y. Tadir, W.H. Wright, O. Vafa, T. Ord, R.H. Asch, M.W. Berns, Micromanipulation of sperm by a laser generated optical trap. Fertil. Steril. 52, 870–873 (1989)
H. Kawauchi, K. Yonezawa, Y. Kozawa, Calculation of optical trapping forces on a dielectric sphere in the ray optics regime produced by a radially polarized laser beam. Opt. Lett. 32, 1839–1841 (1989)
Q.W. Zhan, Trapping metallic Rayleigh particles with radial polarization. Opt. Express 12, 3377–3382 (2004)
K. Huang, P. Shi, G.W. Cao, K. Li, X.B. Zhang, Y.P. Li, Vector-vortex Bessel–Gauss beams and their tightly focusing properties. Opt. Lett. 36, 888–890 (2011)
H. Guo, X. Dong, X. Weng, G. Sui, N. Yang, S. Zhuang, Multifocus with small size, uniform intensity, and nearly circular symmetry. Opt. Lett. 36, 2200–2202 (2011)
R.L. Eriksen, P.C. Mogensen, J. Glückstad, Multiple-beam optical tweezers generated by the generalized phase-contrast method. Opt. Lett. 27, 267–269 (2002)
A. Casaburi, G. Pesce, P. Zemánek, Two- and three-beam interferometric optical tweezers. Opt. Commun. 251, 393–404 (2005)
S. Yan, B. Yao, W. Zhao, M. Lei, Generation of multiple spherical spots with a radially polarized beam in a 4πfocusing system. J. Opt. Soc. Am. A 27, 2033–2037 (2010)
Y. Zhang, B. Ding, T. Suyama, Trapping two types of particles using a double-ring-shaped radially polarized beam. Phys. Rev. A 81, 023831–023835 (2010)
B. Richards, E. Wolf, Electromagnetic diffraction in optical systems, II. Structure of the image field in an aplanatic system. Proc. R. Soc. Lond. Ser. A 253, 358–379 (1959)
K.B. Rajesh, N. Veerabagu Suresh, P.M. Anbarasan, K. Gokulakrishnan, G. Mahadevan, Tight focusing of double ring shaped radially polarized beam with high NA lens axicon. J. Opt. Laser Technol. 43, 1037–1040 (2011)
T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, H. Sasada, Novel optical trap of atoms with a doughnut beam. Phys. Rev. Lett. 78, 4713–4716 (1997)
R. Ozeri, L. Khaykovich, N. Friedman, N. Davidson, Large-volume single-beam dark optical trap for atoms using binary phase elements. J. Opt. Soc. Am. B 17, 1113–1116 (2000)
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Prabakaran, K., Rajesh, K.B., Pillai, T.V.S. et al. Tight focusing of phase modulated double ring shaped radially polarized beam with high NA lens. J Opt 42, 382–387 (2013). https://doi.org/10.1007/s12596-013-0139-8
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DOI: https://doi.org/10.1007/s12596-013-0139-8