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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Franco Gori
  • Vol. 31, Iss. 2 — Feb. 1, 2014
  • pp: 373–378

Tight focusing of quasi-cylindrically polarized beams

Zhongsheng Man, Changjun Min, Siwei Zhu, and X.-C. Yuan  »View Author Affiliations

JOSA A, Vol. 31, Issue 2, pp. 373-378 (2014)

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Based on vectorial diffraction theory, tight focusing properties of quasi-cylindrical polarized beams (QCPBs) composed of equal fan-shaped sectors with linear polarization are investigated. We find that, for quasi-radially polarized illumination, a weak azimuthal component emerges and the circular symmetry of focus is traded in when the total number of sector N is small, but when N8 it is approaching that of a perfect radially polarized beam with a deviation smaller than 5.3% and a ratio of maximum total intensity larger than 95.5%. Meanwhile, for quasi-azimuthal polarized illumination, although weak radial and longitudinal components emerge, it is also close to that of the perfect azimuthally polarized beam when N8 with deviation smaller than 5.3% and a ratio larger than 95.0%. These results not only reveal a deep understanding of the focusing properties of QCPBs, but also provide an important contribution toward optimization of the monolithic methods for generating vector beams.

© 2014 Optical Society of America

OCIS Codes
(110.2990) Imaging systems : Image formation theory
(140.3300) Lasers and laser optics : Laser beam shaping
(260.5430) Physical optics : Polarization

ToC Category:
Physical Optics

Original Manuscript: September 24, 2013
Revised Manuscript: December 12, 2013
Manuscript Accepted: December 19, 2013
Published: January 23, 2014

Zhongsheng Man, Changjun Min, Siwei Zhu, and X.-C. Yuan, "Tight focusing of quasi-cylindrically polarized beams," J. Opt. Soc. Am. A 31, 373-378 (2014)

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  1. Q. Zhan, “Cylindrical vector beams: from mathematical concepts to applications,” Adv. Opt. Photon. 1, 1–57 (2009). [CrossRef]
  2. K. S. Youngworth and T. G. Brown, “Focusing of high numerical aperture cylindrical-vector beams,” Opt. Express 7, 77–87 (2000). [CrossRef]
  3. R. Dorn, S. Quabis, and G. Leuchs, “Sharper focus for a radially polarized light beam,” Phys. Rev. Lett. 91, 233901 (2003). [CrossRef]
  4. A. Cheng, J. T. Goncalves, P. Golshani, K. Arisaka, and C. Portera-Cailliau, “Simultaneous two-photon calcium imaging at different with spatiotemporal multiplexing,” Nat. Methods 8, 139–142 (2011). [CrossRef]
  5. Q. Zhan, “Evanescent Bessel beam generation via surface plasmon resonance excitation by a radially polarized beam,” Opt. Lett. 31, 1726–1728 (2006). [CrossRef]
  6. S. C. Tidwell, G. H. Kim, and W. D. Kimura, “Efficient radially polarized laser beam generation with a double interferometer,” Appl. Opt. 32, 5222–5229 (1993). [CrossRef]
  7. V. G. Niziv and A. V. Nesterov, “Influence of beam polarization on laser cutting efficiency,” J. Phys. D 32, 1455–1461 (1999). [CrossRef]
  8. J. R. Zurita-Sánchez and L. Novotny, “Multipolar interband absorption in a semiconductor quantum dot. II. Magnetic dipole enhancement,” J. Opt. Soc. Am. B 19, 2722–2726 (2002). [CrossRef]
  9. Q. Zhan, “Trapping metallic Rayleigh particles with radial polarization,” Opt. Express 12, 3377–3382 (2004). [CrossRef]
  10. K. T. Gahagan and G. A. Swartzlander, “Optical vortex trapping of particles,” Opt. Lett. 21, 827–829 (1996). [CrossRef]
  11. K. Sakai and S. Noda, “Optical trapping of metal particles in doughnut-shaped beam emitted by photonic-crystal laser,” Electron. Lett. 43, 107–108 (2007). [CrossRef]
  12. G. Machavariani, Y. Lumer, I. Moshe, A. Meir, and S. Jackel, “Efficient extracavity generation of radially and azimuthally polarized beams,” Opt. Lett. 32, 1468–1470 (2007). [CrossRef]
  13. G. Machavariani, Y. Lumer, I. Moshe, A. Meir, and S. Jackel, “Spatially-variable retardation plate for efficient generation of radially- and azimuthally-polarized beams,” Opt. Commun. 281, 732–738 (2008). [CrossRef]
  14. X.-L. Wang, J. Ding, W.-J. Ni, C.-S. Guo, and H.-T. Wang, “Generation of arbitrary vector beams with a spatial light modulator and a common path interferometric arrangement,” Opt. Lett. 32, 3549–3551 (2007). [CrossRef]
  15. H. Chen, J. Hao, B.-F. Zhang, J. Xu, J. Ding, and H.-T. Wang, “Generation of vector beam with space-variant distribution of both polarization and phase,” Opt. Lett. 36, 3179–3181 (2011). [CrossRef]
  16. Z. Bomzon, V. Kleiner, and E. Hasman, “Formation of radially and azimuthally polarized light using space-variant subwavelength metal stripe gratings,” Appl. Phys. Lett. 79, 1587–1589 (2001). [CrossRef]
  17. M. Stalder and M. Schadt, “Linearly polarized light with axial symmetry generated by liquid-crystal polarization converters,” Opt. Lett. 21, 1948–1950 (1996). [CrossRef]
  18. M. Beresna, M. Gecevičius, P. G. Kazansky, and T. Gertus, “Radially polarized optical vortex converter created by femtosecond laser nanostructuring of glass,” Appl. Phys. Lett. 98, 201101 (2011). [CrossRef]
  19. L. J. Guo, C. J. Min, G. H. Yuan, C. L. Zhang, J. G. Wang, Z. Shen, and X.-C. Yuan, “Optically stitched arbitrary fan-sectors with selective polarization states for dynamic manipulation of surface plasmon polaritons,” Opt. Express 20, 24748–24753 (2012). [CrossRef]
  20. R. Imai, N. Kanda, T. Higuchi, Z. Zheng, K. Konishi, and M. Kuwata-Gonokami, “Terahertz vector beam generation using segmented nonlinear optical crystals with threefold rotational symmetry,” Opt. Express 20, 21896–21904 (2012). [CrossRef]
  21. C. Maurer, A. Jesacher, S. Fürhapter, S. Bernet, and M. Ritsch-Marte, “Tailoring of arbitrary optical vector beams,” New J. Phys. 9, 78 (2007). [CrossRef]
  22. Z. Man, C. Min, Y. Zhang, Z. Shen, and X.-C. Yuan, “Arbitrary vector beams with selective polarization states patterned by tailored polarizing films,” Laser Phys. 23, 105001 (2013). [CrossRef]
  23. H. Guo, X. Dong, X. Weng, G. Sui, N. Yang, and S. Zhuang, “Multifocus with small size, uniform intensity, and nearly circular symmetry,” Opt. Lett. 36, 2200–2202 (2011). [CrossRef]
  24. H. Guo, G. Sui, X. Weng, X. Dong, Q. Hu, and S. Zhuang, “Control of the multifocal properties of composite vector beams in tightly focusing systems,” Opt. Express 19, 24067–24077 (2011). [CrossRef]
  25. B. Richards and E. Wolf, “Electromagnetic diffraction in optical systems II. Structure of the image field in an aplanatic system,” Proc. R. Soc. London Ser. A 253, 358–379 (1959). [CrossRef]
  26. Y. Kozawa and S. Sato, “Sharper focal spot formed by higher-order radially polarized laser beams,” J. Opt. Soc. Am. A 24, 1793–1798 (2007). [CrossRef]
  27. Y. Kozawa and S. Sato, “Focusing of higher-order radially polarized Laguerre–Gaussian beam,” J. Opt. Soc. Am. A 29, 2439–2443 (2012). [CrossRef]
  28. R. Wang, C. Zhang, Y. Yang, S. Zhu, and X.-C. Yuan, “Focused cylindrical vector beam assisted microscopic pSPR biosensor with an ultra-wide dynamic range,” Opt. Lett. 37, 2091–2093 (2012). [CrossRef]
  29. C. Zhang, R. Wang, C. Min, S. Zhu, and X.-C. Yuan, “Experimental approach to the microscopic phase-sensitive surface plasmon resonance biosensor,” Appl. Phys. Lett. 102, 011114 (2013). [CrossRef]

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