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Applied Optics

Applied Optics


  • Vol. 37, Iss. 19 — Jul. 1, 1998
  • pp: 4200–4205

Aberrated lenses for generating flattened laser irradiance

Jixiong Pu and Huihua Zhang  »View Author Affiliations

Applied Optics, Vol. 37, Issue 19, pp. 4200-4205 (1998)

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Expressions for describing Gaussian beams focused by a lens with spherical aberration have been derived. Numerical results show that, when the coefficient of the spherical aberration is negative, one can obtain flattened laser irradiance at two positions along the focused field. The larger the coefficient of negative spherical aberration, the larger the flatness is. The effect of the Fresnel number of the focusing lens on the flattened laser irradiance is also investigated.

© 1998 Optical Society of America

OCIS Codes
(140.3460) Lasers and laser optics : Lasers
(220.3630) Optical design and fabrication : Lenses

Original Manuscript: October 8, 1997
Revised Manuscript: March 12, 1998
Published: July 1, 1998

Jixiong Pu and Huihua Zhang, "Aberrated lenses for generating flattened laser irradiance," Appl. Opt. 37, 4200-4205 (1998)

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  1. C. S. Ih, “Absorption lens for producing uniform laser beams,” Appl. Opt. 11, 694–695 (1972). [CrossRef]
  2. P. E. Klingsporn, “Theoretical intensity uniformity from an anti-Gaussian collimating lens,” Appl. Opt. 15, 2355–2357 (1976). [CrossRef] [PubMed]
  3. S. K. Dew, R. R. Parsons, “Absorbing filter to flatten Gaussian beams,” Appl. Opt. 31, 3416–3419 (1992). [CrossRef] [PubMed]
  4. X. Deng, X. Liang, Z. Chen, W. Yu, R. Ma, “Uniform illumination of large targets using a lens array,” Appl. Opt. 25, 377–381 (1986). [CrossRef] [PubMed]
  5. R. M. Stevenson, M. J. Norman, T. H. Bett, D. A. Pepler, C. N. Danson, I. N. Ross, “Binary-phase zone plate arrays for generation of uniform focal profile,” Opt. Lett. 19, 363–365 (1994). [PubMed]
  6. S. N. Dixit, M. D. Feit, M. D. Perry, H. T. Powell, “Designing fully continuous phase screens for tailoring focal-plane irradiance profile,” Opt. Lett. 21, 1715–1717 (1996). [CrossRef] [PubMed]
  7. C. Xie, R. Gupta, H. Metcalf, “Beam profile flattener for Gaussian beams,” Opt. Lett. 18, 173–175 (1993). [CrossRef] [PubMed]
  8. W. B. Veldkamp, “Technique for generating focal-plane flattop beam profiles,” Rev. Sci. Instrum. 53, 294–297 (1982). [CrossRef]
  9. J. A. Ruff, A. E. Siegman, “Measurement of beam quality degradation due to spherical aberration in a simple lens,” Opt. Quant. Electron. 26, 629–632 (1994). [CrossRef]
  10. A. Yoshida, T. Asakura, “Propagation and focusing of Gaussian laser beams beyond conventional diffraction limit,” Opt. Commun. 123, 694–704 (1996). [CrossRef]
  11. R. Martinez-Herrero, P. M. Mejias, N. Hodgson, H. Weber, “Beam-quality changes generated by thermally induced spherical aberration in laser cavities,” IEEE J. Quantum Electron. 31, 2173–2176 (1995). [CrossRef]
  12. J. Pu, “Focusing Gaussian beams by an annular lens with spherical aberration,” J. Mod. Opt. 45, 239–247 (1998). [CrossRef]
  13. P. L. Overfelt, C. S. Kenney, “Comparison of the propagation characteristics of Bessel, Bessel–Gauss, and Gaussian beams diffracted by a circular aperture,” J. Opt. Soc. Am. A 8, 732–745 (1991). [CrossRef]

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