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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. 7 — Jul. 1, 2014
  • pp: 1595–1603

Maxwell-Gaussian beams with cylindrical polarization

William E. Lewis and Reeta Vyas  »View Author Affiliations

JOSA A, Vol. 31, Issue 7, pp. 1595-1603 (2014)

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It is common practice to work in the approximation that beam-like radiation fields are polarized transverse to the propagation axis. However, even in the paraxial approximation, this fails to correctly describe beam polarization and propagation characteristics. We present here the paraxial Maxwell’s equations for beams having cylindrical polarization, which describe the full vector structure of these beams in the paraxial regime. The effect that these relations have on the polarization and propagation of cylindrically polarized Laguerre–Gauss and Bessel–Gauss beams is subsequently explored.

© 2014 Optical Society of America

OCIS Codes
(140.3430) Lasers and laser optics : Laser theory
(260.5430) Physical optics : Polarization
(080.4865) Geometric optics : Optical vortices

ToC Category:
Physical Optics

Original Manuscript: April 11, 2014
Revised Manuscript: May 21, 2014
Manuscript Accepted: May 21, 2014
Published: June 25, 2014

William E. Lewis and Reeta Vyas, "Maxwell-Gaussian beams with cylindrical polarization," J. Opt. Soc. Am. A 31, 1595-1603 (2014)

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  1. V. Kozawa and S. Sato, “Optical trapping of micrometer-sized dielectric particles by cylindrical vector beams,” Opt. Express 18, 10828–10833 (2010). [CrossRef]
  2. B. Roxworthy and K. Toussaint, “Optical trapping with p-phase cylindrical vector beams,” New J. Phys. 12, 073012 (2010). [CrossRef]
  3. Y. Salamin, “Low-diffraction direct particle acceleration by a radially polarized laser beam,” Phys. Lett. A 374, 4950–4953 (2010). [CrossRef]
  4. M. Kraus, M. Ahmed, A. Michalowski, A. Voss, R. Weber, and T. Graf, “Microdrilling in steel using ultrashort pulsed laser beams with radial and azimuthal polarization,” Opt. Express 18, 22305–22313 (2010). [CrossRef]
  5. N. Mojarad and M. Agio, “Tailoring the excitation of localized surface plasmon-polariton resonances by focusing radially-polarized beams,” Opt. Express 17, 117–122 (2009). [CrossRef]
  6. W. Chen, D. Abeysinghe, R. Nelson, and Q. Zhan, “Plasmonic lens made of multiple concentric metallic rings under radially polarized illumination,” Nano Lett. 9, 4320–4325 (2009). [CrossRef]
  7. A. Bouhelier, J. Reger, M. Beversluis, and L. Novotny, “Plasmon-coupled tip-enhanced near-field optical microscopy,” J. Microsc. 210, 220–224 (2003). [CrossRef]
  8. W. Chen, R. L. Nelson, and Q. Zhan, “Geometrical phase and surface plasmon focusing with azimuthal polarization,” Opt. Lett. 37, 581–583 (2012). [CrossRef]
  9. Q. Zhan, “Cylindrical vector beams: from mathematical concepts to applications,” Adv. Opt. Photon. 1, 1–57 (2009). [CrossRef]
  10. A. Tovar, “Production and propagation of cylindrically polarized Laguerre-Gaussian laser beams,” J. Opt. Soc. Am. A 15, 2705–2711 (1998). [CrossRef]
  11. D. Hall, “Vector-beam solutions of Maxwell’s wave equation,” Opt. Lett. 21, 9–11 (1996). [CrossRef]
  12. P. L. Green and D. G. Hall, “Properties and diffraction of vector Bessel-Gauss beams,” J. Opt. Soc. Am. A 15, 3020–3027 (1998). [CrossRef]
  13. F. Gori, “Polarization basis for vortex beams,” J. Opt. Soc. Am. A 18, 1612–1617 (2001). [CrossRef]
  14. M. Lax, W. H. Louisell, and W. B. McKnight, “From Maxwell to paraxial wave optics,” Phys. Rev. A 11, 1365–1370 (1975). [CrossRef]
  15. J. Lekner, “Polarization of tightly focused laser beams,” J. Opt. A 5, 6–14 (2003). [CrossRef]
  16. W. Erikson and S. Singh, “Polarization properties of Maxwell-Gaussian laser beams,” Phys. Rev. E 49, 5778–5786 (1994). [CrossRef]
  17. J. W. Moore, R. Vyas, and S. Singh, “The hidden side of a laser beam,” in Proceedings of Hall Symposium, J. C. Begquist, S. A. Diddams, L. Hollberg, C. Oates, J. Ye, and L. Kaleth, eds. (World Scientific, 2006), pp. 97–99.
  18. R. Vyas and S. Singh, “Cross polarization of Maxwell-Gaussian laser beams with orbital and spin angular momentum,” in Coherence and Quantum Optics IX, N. P. Bigelow, J. H. Eberly, and C. R. Stroud, eds. (AIP, 2008), pp. 344–345.
  19. J. Conry, R. Vyas, and S. Singh, “Cross-polarization of linearly polarized Hermite-Gauss laser beams,” J. Opt. Soc. Am. A 29, 579–584 (2012). [CrossRef]
  20. J. Conry, R. Vyas, and S. Singh, “Polarization of optical beams carrying orbital angular momentum,” J. Opt. Soc. Am. A 30, 821–824 (2013). [CrossRef]
  21. K. S. Youngworth and T. G. Brown, “Focusing of high numerical aperture cylindrical-vector beams,” Opt. Express 7, 77–87 (2000). [CrossRef]
  22. D. Deng, “Nonparaxial propagation of radially polarized light beams,” J. Opt. Soc. Am. B 23, 1228–1234 (2006). [CrossRef]
  23. K. Huang, P. Shi, G. W. Cao, K. Li, X. B. Zhang, and Y. P. Li, “Vector-vortex Bessel-Gauss beams and their tightly focusing properties,” Opt. Lett. 36, 888–890 (2011). [CrossRef]
  24. S. Yan and B. Yao, “Description of a radially polarized Laguerre-Gauss beam beyond the paraxial approximation,” Opt. Lett. 32, 3367–3369 (2007). [CrossRef]
  25. F. Olver, D. Lozier, R. Boisvert, and C. Clark, NIST Handbook of Mathematical Functions (Cambridge University, 2010).

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