Effect of Pupil Beam in the Focal Region of High Numerical Aperture Objective Lens
J. Environ. Nanotechnol., Volume 4, No 1 (2015) pp. 76-79
Abstract
In this article, based on vector diffraction theory the focusing properties of double ring shaped higher order Laguerre - Gauss beam with radial varying polarization are investigated numerically. The numerical simulations show that the evolution of some interesting focal spot, focal split and focal patterns in the focal region by changing polarization rotation angle under tight focusing through the high NA lens. It is also shown that a subwavelength focal hole with a quite long depth of focus, multiple focal holes are achieved near the focus, when tuning β (is the ratio of the pupil radius to the beam waist) in the focal plane for different modes under tight focusing through the high NA lens. We found that when tuning, beam parameter or the polarization rotation angle of the incident beam, it is possible to generate some interesting novel focal patterns, including multiple intensity rings, dark hollow focus and cylindrical crust focus. Such kind of beams plays an important role in optical trapping, laser cutting and optical manipulation applications.
Full Text
Reference
Ashkin, A., Dziedzic, J. M., Bjorkholm, J. E. and Chu, S., Observation of a single-beam gradient force optical trap for dielectric particles, Opt. Lett., 11(5), 288–290 (1986).
doi:10.1364/OL.11.000288
Rittweger, E., Kyuyounghan, Irvines, E., Eggling, C. and Hells, W., STED microscopy reveals crystal colour centres with nanometric resolution, Nature Photonics, 3 (3), 144–147 (2009).
doi:10.1038/nphoton.2009.2
Visscher, K. and Brakenhoff, G. J., Theoretical study of optically induced forces on spherical particles in a single beam trap I: Rayleigh scatterers, Optik 89, 174–180 (1992).
Kuga, T., Torii, Y., Shiokawa, N., Hirano, T., Shimizu, Y. and Sasada, H., Novel optical trap of atoms with a doughnut beam, Phys. Rev. Lett., 78(25), 4713–4716 (1997).
doi:10.1103/PhysRevLett.78.4713
Suresh, P., Mariyal, C., Sivasubramonia Pillai, T. V., Rajesh, K. B. and Jaroszewicz, Z., Study on polarization effect of azimuthally polarized LG beam in high NA Lens system, Optik, 124(21), 5099– 5102 (2013).
doi:10.1016/j.ijleo.2013.03.139
Levenson, M. D., Ebihara, T., Dai, G., Morikawa, Y., Haayashi, N. and Tan, S. M., Optical vortex masks for via levels, Microlithogr. Micofabr. Microsyst., 3(2), 293-304 (2004).
Kozawa, Y. and Sato, S., Focusing property of a double-ring-shaped radially polarized beam, Opt. Lett., 31(6), 820–822 (2006).
doi:10.1364/OL.31.000820
Kozawa, Y. and Sato, S., Sharper focal spot formed by higher-order radially polarized laser beams, J. Opt. Soc. Am. A., 24(6), 1793 – 1798 (2007).
doi:10.1364/JOSAA.24.001793
Moser, T., Glur, H., Romano, V., Pigeon, F., Parriaux, O. and Ahmed, M. A., Polarization- selective grating mirrors used in the generation of radial polarization, Appl. Phys. B., 80(6), 707–13 (2005).
doi:10.1007/s00340-005-1794-5
Gao, X., Fu, R., Shen, H., Dong, X., Geng, T. and Zhuang, S., Focus shaping of Bessel–Gauss beam with radial varying polarization, Optica. Applicata., 42(3), 481– 491 (2012).
Gao, X., Hu, S., Li, J. S., Ding, Z. H., Guo, H. M. and Zhuang, S. L., Tunable optical gradient trap by radial varying polarization Bessel–Gauss beam, J. Biomedical Science and Engineering 3(5), 304–307 (2010).
doi:10.4236/jbise.2010.33041
Zhan, Q. and Leger, J. R., Focus shaping using cylindrical vector beams, Opt. Express, 10(7), 324–331 (2002).
doi:10.1364/OE.10.000324