OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 16, Iss. 7 — Mar. 31, 2008
  • pp: 5082–5094

Generation of vortex beams from lasers with controlled Hermite- and Ince-Gaussian modes

Takayuki Ohtomo, Shu-Chun Chu, and Kenju Otsuka  »View Author Affiliations


Optics Express, Vol. 16, Issue 7, pp. 5082-5094 (2008)
http://dx.doi.org/10.1364/OE.16.005082


View Full Text Article

Enhanced HTML    Acrobat PDF (696 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We report selective excitations of higher-order Hermite-Gaussian and Ince-Gaussian (IG) modes in a laser-diode-pumped microchip solid-state laser and controlled generation of corresponding higher-order and multiple optical vortex beams of different shapes using an astigmatic mode converter (AMC). Simply changing the pump-beam diameter, shape, and lateral off-axis position of the tight pump beam focus on the laser crystal within a microchip semispherical cavity can produce the desired optical vortex beams in a well controlled manner. Pattern changes featuring different IG and HG modes obtained by rotating the AMC are also demonstrated. Numerical simulation shows that the vortex structure is changed by controlled off-axis laser diode pumping, which could lead toward precise optical manipulation of small particles.

© 2008 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(140.3480) Lasers and laser optics : Lasers, diode-pumped
(140.3580) Lasers and laser optics : Lasers, solid-state
(260.6042) Physical optics : Singular optics

ToC Category:
Physical Optics

History
Original Manuscript: February 7, 2008
Revised Manuscript: March 18, 2008
Manuscript Accepted: March 24, 2008
Published: March 28, 2008

Citation
Takayuki Ohtomo, Shu-Chun Chu, and Kenju Otsuka, "Generation of vortex beams from lasers with controlled Hermite- and Ince-Gaussian modes," Opt. Express 16, 5082-5094 (2008)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-16-7-5082


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. A. Bandres and J. C. Gutiérrez-Vega, "Ince-Gaussian beams," Opt. Lett. 29, 144 (2004). [CrossRef] [PubMed]
  2. M. A. Bandres and J. C. Gutiérrez-Vega, "Ince-Gaussian modes of the paraxial wave equation and stable resonators," J. Opt. Soc. Am. A 21, 873 (2004). [CrossRef]
  3. U. T. Schwarz, M. A. Bandres, and J. C. Gutiérrez-Vega, "Observation of Ince-Gaussian modes in stable resonators," Opt. Lett. 291870 (2004). [CrossRef] [PubMed]
  4. K. Otsuka, K. Nemoto, K. Kamikariya, and S.-C. Chu, "Linearly-polarized, single-frequency oscillations of laser-diode-pumped microchip ceramic Nd:YAG lasers with forced Ince-Gaussian mode operations," Jpn. J. Appl. Phys. 46, 5865 (2007). [CrossRef]
  5. T. Ohtomo, K. Kamikariya, K. Otsuka, and S.-C. Chu, "Single-frequency Ince-Gaussian mode operations of laser-diode-pumped microchip solid-state lasers," Opt. Express 15, 10705 (2007), http://www.opticsinfobase.org/abstract.cfm?URI=oe-15-17-10705. [CrossRef] [PubMed]
  6. S.-C. Chu and K. Otsuka, ""Numerical study for selective excitation of Ince-Gaussian modes in end-pumped solid-state lasers," Opt. Express 15, 16506 (2007). [CrossRef] [PubMed]
  7. M. Mansuripur, Classical Optics and its Applications (Cambridge University Press, 2001) pp. 200-211.
  8. N. B. Simpson, K. Dholakia, L. Allen, and M. J. Padgett, "Mechanical equivalence of spin and orbital angular momentum of light: an optical spanner," Opt. Lett. 22, 52 (1997). [CrossRef] [PubMed]
  9. E. Santamato, A. Sasso, B. Piccirillo, and A. Vella, "Optical angular momentum transfer to transparent isotropic particles using laser beam carrying zero average angular momentum," Opt. Express 10, 871 (2002). [PubMed]
  10. K. T. Gahagan and G. A. Swartzlander, Jr., "Optical vortex trapping of particles," Opt. Lett. 21, 827 (1996). [CrossRef] [PubMed]
  11. L. Paterson, M. P. MacDonald, J. Arlt, W. Sibbett, P. E. Bryant, and K. Dholakia, "Controlled rotation of optically trapped microscopic particles," Science 292, 912 (2001). [CrossRef] [PubMed]
  12. M. P. MacDonald, "Revolving interference pattern for the rotation of optically trapped particles," Opt. Commun. 201, 21 (2002). [CrossRef]
  13. Y. Song, D. Milam, and W. T. Hill, "Long, narrow all-light atom guide," Opt. Lett. 24, 1805 (1999). [CrossRef]
  14. X. Xu, K. Kim, W. Jhe, and N. Kwon, "Efficient optical guiding of trapped cold atoms by a hollow laser beam," Phy. Rev. A 63, 3401 (2001). [CrossRef]
  15. T. Kuga, Y. Torii, N. Shiokawa, T. Hirano, Y. Shimizu, and H. Sasada, "Novel optical trap of atoms with a doughnut beam," Phys. Rev. Lett. 78, 4713 (1997). [CrossRef]
  16. J. Courtial, D. A. Robertson, K. Dholakia, L. Allen, and M. J. Padgett, "Rotational frequency shift of a light beam," Phys. Rev. Lett. 81, 4828 (1998). [CrossRef]
  17. J. Courtial, K. Dholakia, D. A. Robertson, L. Allen, and M. J. Padgett, "Measurement of the rotational frequency shift imparted to a rotating light beam possessing orbital angular momentum," Phys. Rev. Lett. 80, 013601 (1998). [CrossRef]
  18. A. Mair, A. Vaziri, G. Weihs, and A. Zeilinger, "Entanglement of the orbital angular momentum states of photons," Nature 412, 313 (2001). [CrossRef] [PubMed]
  19. M. W. Beijersbergen, R. P. C. Coerwinkel, M. Kristensen, and J. P. Woerdman, "Helical-wavefront laser beams produced with a spiral phase plate," Optics Commun. 112, 321 (1994). [CrossRef]
  20. N. R. Heckenberg, R. McDuff, C. P. Smith, and A. G. White, "Generation of optical phase singularities by computer-generated holograms," Opt. Lett. 17, 221 (1992). [CrossRef] [PubMed]
  21. M. W. Beijersbergen, L. Allen, H. E. L. O. van der Veen, and J. P. Woerdman, "Astigmatic laser mode converters and transfer of orbital angular momentum," Opt. Commun. 96, 123 (1993). [CrossRef]
  22. I. Kimel and L. R. Elias, "Relations between Hermite and Laguerre Gaussian modes," IEEE J. Quantum Electron. 29, 2562 (1993). [CrossRef]
  23. L. Allen, M. W. Beijersbergen, R. J. C. Spreeuw, and J. P. Woerdman, "Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes," Phys. Rev. A 45, 8185 (1992). [CrossRef] [PubMed]
  24. A. T. O’Neil and J. Courtial, "Mode transformations in terms of the constituent Hermite-Gaussian or Laguerre-Gaussian modes and the variable-phase mode converter," Opt. Commun. 181, 35 (2000). [CrossRef]
  25. A. Bhowmik, "Closed-cavity solutions with partially coherent fields in the space-frequency domain," Appl. Opt. 22, 3338 (1983). [CrossRef] [PubMed]
  26. M. Endo, M. Kawakami, K. Nanri, S. Takeda, and T. Fujioka, "Two-dimensional simulation of an unstable resonator with a stable core," Appl. Opt. 38, 3298 (1999). [CrossRef]
  27. J. W. Goodman, Introduction to Fourier Optics (Roberts and Company Publishers, 2004).
  28. S. -C. Chu and K. Otsuka, "Stable donut-like vortex beam generation from lasers with controlled Ince-Gaussian modes," Appl. Opt. 46, (2007). http://www.opticsinfobase.org/abstract.cfm?URI=ao-46-31-7709. [CrossRef] [PubMed]
  29. E. A. Sziklas and A. E. Siegman, "Mode calculations in unstable resonators with flowing saturable gain. 2: Fast Fourier transform method," Appl. Opt. 14, 1874 (1975), http://www.opticsinfobase.org/abstract.cfm?URI=ao-14-8-1874. [CrossRef] [PubMed]
  30. A. E. Siegman, Lasers (University Science Books, 1986), p. 29.
  31. J. B. Bentley, J. A. Davis, M. A. Bandres, and J. C. Gutiérrez-Vega, "Generation of helical Ince-Gaussian beams with a liquid-crystal display," Opt. Lett. 31, 649 (2006). [CrossRef] [PubMed]
  32. G. A. Swartzlander Jr., "The Optical vortex lens," Opt. Photonics News 17, 39 (2006). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Multimedia

Multimedia FilesRecommended Software
» Media 1: MOV (1883 KB)     
» Media 2: MOV (1838 KB)     
» Media 3: MOV (2032 KB)     
» Media 4: MOV (2058 KB)     
» Media 5: MOV (1877 KB)     

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited