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Generation of multi-axis Laguerre–Gaussian beams from geometric modes of a hemiconfocal cavity

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Abstract

We study the transformation of multi-axis Laguerre–Gaussian beams from optical beams comprising Hermite–Gaussian modes with ray–wave duality. By use of cylindrical lenses, Hermite–Gaussian modes can be transformed into Laguerre–Gaussian modes possessing optical orbital angular momentum. The superposed Hermite–Gaussian modes localized on geometric trajectories are generated from a degenerate hemiconfocal cavity and transformed into multi-axis Laguerre–Gaussian beams. Experimental results of the structured beams are systematically manipulated and in good agreement with theoretical analyses.

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References

  1. M.S. Soskin, M.V. Vasnetsov, in Progress in Optics, vol. 42, ed. by E. Wolf (ed.) (Elsevier, Amsterdam, 2001), pp. 219–276

    Google Scholar 

  2. D. Rozas, C.T. Law, G.A. Swartzlander, J. Opt. Soc. Am. B 14, 3054 (1997)

    Article  ADS  Google Scholar 

  3. Y. Izdebskaya, T. Fadeyeva, V. Shvedov, A. Volyar, Opt. Lett. 31, 2523 (2006)

    Article  ADS  Google Scholar 

  4. S.M. Baumann, D.M. Kalb, L.H. MacMillan, E.J. Galvez, Opt. Express 17, 9818 (2009)

    Article  ADS  Google Scholar 

  5. K.T. Kapale, J.P. Dowling, Phys. Rev. Lett. 95, 173601 (2005)

    Article  ADS  Google Scholar 

  6. M.F. Andersen, C. Ryu, P. Cladé, V. Natarajan, A. Vaziri, K. Helmerson, W.D. Phillips, Phys. Rev. Lett. 97, 170406 (2006)

    Article  ADS  Google Scholar 

  7. T.P. Simula, N. Nygaard, S.X. Hu, L.A. Collins, B.I. Schneider, K. Mølmer, Phys. Rev. A 77, 015401 (2008)

    Article  ADS  Google Scholar 

  8. K.C. Wright, L.S. Leslie, N.P. Bigelow, Phys. Rev. A 77, 041601 (2008)

    Article  ADS  Google Scholar 

  9. K.T. Gahagan, G.A. Swartzlander Jr., Opt. Lett. 21, 827 (1996)

    Article  ADS  Google Scholar 

  10. N.B. Simpson, K. Dholakia, L. Allen, M.J. Padgett, Opt. Lett. 22, 52 (1997)

    Article  ADS  Google Scholar 

  11. H. Adachi, S. Akahoshi, K. Miyakawa, Phys. Rev. A 75, 063409 (2007)

    Article  ADS  Google Scholar 

  12. J.C. Garcia-Escartin, P. Chamorro-Posada, Phys. Rev. A 78, 062320 (2008)

    Article  ADS  Google Scholar 

  13. E. Nagali, F. Sciarrino, F. Martini, L. Marrucci, B. Piccirillo, E. Karimi, E. Santamato, Phys. Rev. Lett. 103, 013601 (2009)

    Article  ADS  Google Scholar 

  14. L. Chen, W. She, New J. Phys. 11, 103002 (2009)

    Article  ADS  Google Scholar 

  15. D.L. Andrews, Structured Light and its Applications: An Introduction to Phase-Structured Beams and Nanoscale Optical Forces (Academic Press/Elsevier, Burlington, 2008)

    Google Scholar 

  16. D. Dangoisse, D. Hennequin, C. Lepers, E. Louvergneaux, P. Glorieux, Phys. Rev. A 46, 5955 (1992)

    Article  ADS  Google Scholar 

  17. E. Louvergneaux, D. Hennequin, D. Dangoisse, P. Glorieux, Phys. Rev. A 53, 4435 (1996)

    Article  ADS  Google Scholar 

  18. G. D’Alessandro, F. Papoff, E. Louvergneaux, P. Glorieux, Phys. Rev. E 69, 066212 (2004)

    Article  ADS  Google Scholar 

  19. X. Hachair, S. Barbay, T. Elsass, I. Sagnes, R. Kuszelewicz, Opt. Express 16, 9519 (2008)

    Article  ADS  Google Scholar 

  20. Ch. Tamm, Phys. Rev. A 38, 5960 (1988)

    Article  ADS  Google Scholar 

  21. M. Brambilla, F. Battipede, L.A. Lugiato, V. Penna, F. Prati, C. Tamm, C.O. Weiss, Phys. Rev. A 43, 5090 (1991)

    Article  ADS  Google Scholar 

  22. M.C. Cross, P.C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993)

    Article  ADS  Google Scholar 

  23. A.B. Coates, C.O. Weiss, C. Green, E.J. D’Angelo, J.R. Tredicce, M. Brambilla, M. Cattaneo, L.A. Lugiato, R. Pirovano, F. Prati, A.J. Kent, G.-L. Oppo, Phys. Rev. A 49, 1452 (1994)

    Article  ADS  Google Scholar 

  24. S.J.M. Habraken, G. Nienhuis, Phys. Rev. A 75, 033819 (2007)

    Article  ADS  Google Scholar 

  25. A.A. Ishaaya, N. Davidson, A.A. Friesem, Opt. Express 13, 4952 (2005)

    Article  ADS  Google Scholar 

  26. M.P. Thirugnanasambandam, Yu. Senatsky, K. Ueda, Laser Phys. Lett. 7, 637–643 (2010)

    Article  ADS  Google Scholar 

  27. J.H. Poynting, Proc. R. Soc. Lond. Ser. A 82, 560 (1909)

    Article  ADS  MATH  Google Scholar 

  28. R.A. Beth, Phys. Rev. 50, 115 (1936)

    Article  ADS  Google Scholar 

  29. L. Allen, M.W. Beijersbergen, R.J.C. Spreeuw, J.P. Woerdman, Phys. Rev. A 45, 8185 (1992)

    Article  ADS  Google Scholar 

  30. E. Abramochkin, V. Volostnikov, Opt. Commun. 83, 123 (1991)

    Article  ADS  Google Scholar 

  31. M.W. Beijersbergen, L. Allen, H.E.L.O. van der Veen, J.P. Woerdman, Opt. Commun. 96, 123 (1993)

    Article  ADS  Google Scholar 

  32. J. Dingjan, M.P. van Exter, J.P. Woerdman, Opt. Commun. 188, 345 (2001)

    Article  ADS  Google Scholar 

  33. Y.F. Chen, C.H. Jiang, Y.P. Lan, K.F. Huang, Phys. Rev. A 69, 053807 (2004)

    Article  ADS  Google Scholar 

  34. J. Visser, N.J. Zelders, G. Nienhuis, J. Opt. Soc. Am. A 22, 1559 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  35. A.E. Siegman, Lasers (University Science Books, Mill Valley, 1986)

    Google Scholar 

  36. Y.F. Chen, T.H. Lu, K.W. Su, K.F. Huang, Phys. Rev. Lett. 96, 213902 (2006)

    Article  ADS  Google Scholar 

  37. M.S. Kumar, B. Dutta-Roy, J. Phys. A 41, 075306 (2008)

    Article  ADS  MathSciNet  Google Scholar 

  38. G. Nienhuis, L. Allen, Phys. Rev. A 48, 656 (1993)

    Article  ADS  Google Scholar 

  39. S. Danakas, P.K. Aravind, Phys. Rev. A 45, 1973 (1992)

    Article  ADS  Google Scholar 

  40. J. Visser, G. Nienhuis, Phys. Rev. A 70, 013809 (2004)

    Article  ADS  Google Scholar 

  41. T.H. Lu, Y.C. Lin, Y.F. Chen, K.F. Huang, Phys. Rev. Lett. 101, 233901 (2008)

    Article  ADS  Google Scholar 

  42. T.H. Lu, Y.C. Lin, Y.F. Chen, K.F. Huang, Opt. Express 17, 3007 (2009)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Department of Physics, National Taiwan Normal University, 88 Tingchou Road, Sec. 4, Taipei, 11677, Taiwan

    T. H. Lu

  2. Department of Electrophysics, National Chiao Tung University, Hsinchu, Taiwan

    Y. C. Lin, Y. F. Chen & K. F. Huang

Authors
  1. T. H. Lu
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  2. Y. C. Lin
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  3. Y. F. Chen
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  4. K. F. Huang
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Correspondence to T. H. Lu.

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Lu, T.H., Lin, Y.C., Chen, Y.F. et al. Generation of multi-axis Laguerre–Gaussian beams from geometric modes of a hemiconfocal cavity. Appl. Phys. B 103, 991–999 (2011). https://doi.org/10.1007/s00340-010-4313-2

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  • DOI: https://doi.org/10.1007/s00340-010-4313-2

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