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Generation of ultra-long focal depth by tight focusing of double-ring-shaped azimuthally polarized beam

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Abstract

The intensity distribution in the focal region for a double-ring-shaped azimuthally polarized beam using complex phase mask with high NA lens axicon system is studied numerically on the basis of vector diffraction theory. A novel method is presented for generation of a subwavelength (0.492 λ) azimuthally polarized beam, which propagates without divergence over long distance about 100 λ in vacuum. It is also observed that the distribution of the electric field near the focus has little variation with the degree of truncation of the incident beam by a pupil. The authors expect such an ultra-long dark channel may find applications in optical data storage, biomedical imaging, laser drilling and atmospheric sciences.

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References

  1. N. Friedman, A. Kaplan, N. Davidson, Dark optical traps for cold atoms. Adv. At. Mol. Opt. Phys. 48, 99–151 (2002)

    Article  ADS  Google Scholar 

  2. T. Cizmar, L.C.D. Romero, K. Dholakia, D.L. Andrews, Multiple optical trapping and binding: new routes to self-assembly. J. Phys. B 43, 102001 (2010)

    Article  ADS  Google Scholar 

  3. T. Watanabe, Y. Iketaki, T. Omatsu, K. Yamamoto, M. Sakai, M. Fuji, Two point separation in super-resolution fluorescence microscope based on up-conversion fluorescence depletion technique. Opt. Express 11, 3271–3276 (2003)

    Article  ADS  Google Scholar 

  4. J. Arlt, M. Padgett, Generation of a beam with a dark focus surrounded by regions of higher intensity: the optical bottle beam. Opt. Lett. 25, 191–193 (2000)

    Article  ADS  Google Scholar 

  5. L. Isenhower, W. Williams, A. Dally, M. Saffman, Atom trapping in an interferometrically generated optical bottle beam. Opt. Lett. 34, 1159–1161 (2009)

    Article  ADS  Google Scholar 

  6. V.G. Shvedov, A.V. Rode, Y.V. Izdebskaya, A.S. Desyatnikov, W. Krolikowski, Y.S. Kivshar, Selective trapping of multiple particles by volume speckle field. Opt. Express 18, 3137–3142 (2010)

    Article  ADS  Google Scholar 

  7. B. Richards, E. Wolf, Electromagnetic diffraction in optical systems, II. Structure of the image field in an aplanatic system. Proc. R. Soc. Lond. A Math. Phys. Sci. 253, 358–379 (1959)

    Article  ADS  MATH  Google Scholar 

  8. T.A. Klar, E. Engel, S.W. Hell, Breaking Abbe’s diffraction resolution limit in fluorescence microscopy with stimulated emission depletion beams of various shapes. Phys. Rev. E. 64, 066613 (2001)

    Article  ADS  Google Scholar 

  9. E. Engel, N. Huse, T.A. Klar, S.W. Hell, Creating λ/3 focal holes with a Mach-Zehnder interferometer. Appl. Phys. B 77, 11–17 (2003)

    Article  Google Scholar 

  10. L.E. Helseth, Focusing of atoms with strongly confined light potentials. Opt. Commun. 212, 343–352 (2002)

    Article  ADS  Google Scholar 

  11. B. Tian, J. Pu, Tight focusing of a double-ring-shaped, azimuthally polarized beam. Opt. Lett. 36, 2014–2016 (2011)

    Article  ADS  Google Scholar 

  12. K. Lalithambigai, P. Suresh, V. Ravi, K. Prabakaran, Z. Jaroszewicz, K.B. Rajesh, P.M. Anbarasan, T.V.S. Pillai, Generation of sub wavelength super-long dark channel using high NA lens axicon. Opt. Lett. 37, 999–1001 (2012)

    Article  ADS  Google Scholar 

  13. J.H. McLeod, The axicon: a new type of optical element. J. Opt. Soc. Am. 44, 592–597 (1954)

    Article  ADS  Google Scholar 

  14. N. Davidson, A.A. Friesem, E. Hasman, Holographic axilens: high resolution and long focal depth. Opt. Lett. 16, 523–525 (1991)

    Article  ADS  Google Scholar 

  15. M.A. Golub, V. Shurman, I. Grossinger, Extended focus diffractive optical element for Gaussian laser beams. Appl. Opt. 45, 144–150 (2006)

    Article  ADS  Google Scholar 

  16. K.B. Rajesh, Z. Jaroszewicz, P.M. Anbarasan, Improvement of lens axicon’s performance for longitudinally polarized beam generation by adding a dedicated phase transmittance. Opt. Express 18, 26799–26805 (2010)

    Article  ADS  Google Scholar 

  17. K. Prabakaran, K.B. Rajesh, T.V.S. Pillai, H.M. Pandya, Tight focusing of phase modulated double ring shaped radially polarized beam with high NA lens. J. Opt. 42, 382–387 (2013)

    Article  Google Scholar 

  18. K.S. Youngworth, T.G. Brown, Focusing of high numerical aperture cylindrical-vector beams. Opt. Express 7, 77–87 (2000)

    Article  ADS  Google Scholar 

  19. Z. Jaroszewicz, J. Morales, Lens axicons: systems com- posed of a diverging aberrated lens and a perfect converging lens. J. Opt. Soc. Am. A 15, 2383–2390 (1998)

    Article  ADS  Google Scholar 

  20. H. Wang, L. Shi, B. Lukyanchuk, C. Sheppard, C.T. Chong, Creation of a needle of longitudinally polarized light in vacuum using binary optics. Nat. Photon. 2, 501–505 (2008)

    Article  Google Scholar 

  21. X. Liu, L. Liu, D. Liu, L. Bai, Design and application of three-zone annular filters. Optik 117, 453–461 (2006)

  22. H. Guo, X. Weng, X. Dong, G. Sui, X. Gao, S. Zhuang, Three dimensional optical cage formed by TEM01 mode radially polarized Laguerre-Gaussian beam. J. Opt. 40, 206–212 (2011)

    Article  Google Scholar 

  23. J. Cao, Q. Chen, H. Guo, Creation of a controllable three dimensional optical chain by TEM01 mode radially polarized Laguerre–Gaussian beam. Optik 124, 2033–2036 (2013)

    Article  ADS  Google Scholar 

  24. C. Kuang, X. Hao, X. Liu, T. Wang, Y. Ku, Formation of sub-half-wavelength focal spot with ultra long depth of focus. Opt. Commun. 284, 1766–1769 (2011)

    Article  ADS  Google Scholar 

  25. M. Kraus, M.A. Ahmed, A. Michalowski, A. Voll, R. Weber, T. Graf, Microdrilling in steel using ultrashort pulsed laser beams with radial and azimuthal polarization. Opt. Express 18, 22305–22313 (2010)

    Article  ADS  Google Scholar 

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Acknowledgments

One of the authors K. Lalithambigai expresses her sincere thanks to UGC-Basic Scientific Research (BSR), New Delhi, India (UGC Letter No. 11-142/2008(BSR)) for financial support.

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Correspondence to K. Lalithambigai.

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Lalithambigai, K., Anbarasan, P.M. & Rajesh, K.B. Generation of ultra-long focal depth by tight focusing of double-ring-shaped azimuthally polarized beam. J Opt 43, 278–283 (2014). https://doi.org/10.1007/s12596-014-0216-7

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  • DOI: https://doi.org/10.1007/s12596-014-0216-7

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