OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 14 — Jul. 4, 2011
  • pp: 13105–13117

Improvement of Galilean refractive beam shaping system for accurately generating near-diffraction-limited flattop beam with arbitrary beam size

Haotong Ma, Zejin Liu, Pengzhi Jiang, Xiaojun Xu, and Shaojun Du  »View Author Affiliations


Optics Express, Vol. 19, Issue 14, pp. 13105-13117 (2011)
http://dx.doi.org/10.1364/OE.19.013105


View Full Text Article

Enhanced HTML    Acrobat PDF (1990 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We propose and demonstrate the improvement of conventional Galilean refractive beam shaping system for accurately generating near-diffraction-limited flattop beam with arbitrary beam size. Based on the detailed study of the refractive beam shaping system, we found that the conventional Galilean beam shaper can only work well for the magnifying beam shaping. Taking the transformation of input beam with Gaussian irradiance distribution into target beam with high order Fermi-Dirac flattop profile as an example, the shaper can only work well at the condition that the size of input and target beam meets R0≥1.3w0. For the improvement, the shaper is regarded as the combination of magnifying and demagnifying beam shaping system. The surface and phase distributions of the improved Galilean beam shaping system are derived based on Geometric and Fourier Optics. By using the improved Galilean beam shaper, the accurate transformation of input beam with Gaussian irradiance distribution into target beam with flattop irradiance distribution is realized. The irradiance distribution of the output beam is coincident with that of the target beam and the corresponding phase distribution is maintained. The propagation performance of the output beam is greatly improved. Studies of the influences of beam size and beam order on the improved Galilean beam shaping system show that restriction of beam size has been greatly reduced. This improvement can also be used to redistribute the input beam with complicated irradiance distribution into output beam with complicated irradiance distribution.

© 2011 OSA

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(120.5060) Instrumentation, measurement, and metrology : Phase modulation
(140.3300) Lasers and laser optics : Laser beam shaping
(220.2740) Optical design and fabrication : Geometric optical design

ToC Category:
Optical Design and Fabrication

History
Original Manuscript: March 21, 2011
Revised Manuscript: May 12, 2011
Manuscript Accepted: June 7, 2011
Published: June 22, 2011

Citation
Haotong Ma, Zejin Liu, Pengzhi Jiang, Xiaojun Xu, and Shaojun Du, "Improvement of Galilean refractive beam shaping system for accurately generating near-diffraction-limited flattop beam with arbitrary beam size," Opt. Express 19, 13105-13117 (2011)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-19-14-13105


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. F. M. Dickey, S. C. Holswade, and D. L. Shealy, eds., Laser Beam Shaping Applications (CRC Press, 2005).
  2. J. A. Hoffnagle and C. M. Jefferson, “Design and performance of a refractive optical system that converts a Gaussian to a flattop beam,” Appl. Opt. 39(30), 5488–5499 (2000). [CrossRef] [PubMed]
  3. D. L. Shealy and J. A. Hoffnagle, “Laser beam shaping profiles and propagation,” Appl. Opt. 45(21), 5118–5131 (2006). [CrossRef] [PubMed]
  4. P. W. Rhodes and D. L. Shealy, “Refractive optical systems for irradiance redistribution of collimated radiation: their design and analysis,” Appl. Opt. 19(20), 3545–3553 (1980). [CrossRef] [PubMed]
  5. M. Arif, M. M. Hossain, A. A. S. Awwal, and M. N. Islam, “Two-element refracting system for annular Gaussian-to-Bessel beam transformation,” Appl. Opt. 37(19), 4206–4209 (1998). [CrossRef] [PubMed]
  6. J. J. Kasinski and R. L. Burnham, “Near-diffraction-limited laser beam shaping with diamond-turned aspheric optics,” Opt. Lett. 22(14), 1062–1064 (1997). [CrossRef] [PubMed]
  7. B. R. Frieden, “Lossless conversion of a plane laser wave to a plane wave of uniform irradiance,” Appl. Opt. 4(11), 1400–1403 (1965). [CrossRef]
  8. C. C. Aleksoff, K. K. Ellis, and B. D. Neagle, “Holographic conversion of a Gaussian-beam to a near-field uniform beam,” Opt. Eng. 30(5), 537–543 (1991). [CrossRef]
  9. J. H. Li, K. J. Webb, G. J. Burke, D. A. White, and C. A. Thompson, “Design of near-field irregular diffractive optical elements by use of a multiresolution direct binary search method,” Opt. Lett. 31(9), 1181–1183 (2006). [CrossRef] [PubMed]
  10. G. Zhou, X. Yuan, P. Dowd, Y. L. Lam, and Y. C. Chan, “Design of diffractive phase elements for beam shaping: hybrid approach,” J. Opt. Soc. Am. A 18(4), 791–800 (2001). [CrossRef]
  11. J. M. Auerbach and V. P. Karpenko, “Serrated-aperture apodizers for high-energy laser systems,” Appl. Opt. 33(15), 3179–3183 (1994). [CrossRef] [PubMed]
  12. S. Zhang, G. Neil, and M. Shinn, “Single-element laser beam shaper for uniform flat-top profiles,” Opt. Express 11(16), 1942–1948 (2003). [CrossRef] [PubMed]
  13. S. Zhang, “A simple bi-convex refractive laser beam shaper,” J. Opt. A, Pure Appl. Opt. 9(10), 945–950 (2007). [CrossRef]
  14. C. Liu and S. Zhang, “Study of singular radius and surface boundary constraints in refractive beam shaper design,” Opt. Express 16(9), 6675–6682 (2008). [CrossRef] [PubMed]
  15. H. T. Ma, P. Zhou, X. L. Wang, Y. X. Ma, F. J. Xi, X. J. Xu, and Z. J. Liu, “Near-diffraction-limited annular flattop beam shaping with dual phase only liquid crystal spatial light modulators,” Opt. Express 18(8), 8251–8260 (2010). [CrossRef] [PubMed]
  16. H. T. Ma, Z. J. Liu, P. Zhou, X. L. Wang, Y. X. Ma, and X. J. Xu, “Generation of flat-top beam with phase-only liquid crystal spatial light modulators,” J. Opt. 12(4), 045704 (2010). [CrossRef]
  17. J. L. Kreuzer, “Coherent light optical system yielding an output beam of desired intensity distribution at a desired equiphase surface,” U.S. patent 3,476,463 (4 November 1969).
  18. J. W. Goodman, Introduction to Fourier Optics, 3rd ed. (Roberts & Company Publishers, 2005).

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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited