OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 46, Iss. 22 — Aug. 1, 2007
  • pp: 5489–5499

Off-axis mirror based optical system design for circularization, collimation, and expansion of elliptical laser beams

Mert Serkan, Hulya Kirkici, and Hakan Cetinkaya  »View Author Affiliations

Applied Optics, Vol. 46, Issue 22, pp. 5489-5499 (2007)

View Full Text Article

Enhanced HTML    Acrobat PDF (888 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



In this paper, we present two optical system design methods for beam circularization, collimation, and expansion of semiconductor laser output beam for possible application in LIDAR systems. Two different optical mirror systems are investigated: an off-axis hyperbolic∕parabolic mirror system and an off-axis parabolic mirror system. Equations specific to these mirror systems are derived and computer package programs such as ZEMAX and MATLAB are used to simulate the optical designs. The beam reshaping results are presented.

© 2007 Optical Society of America

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(080.2740) Geometric optics : Geometric optical design
(140.3300) Lasers and laser optics : Laser beam shaping
(140.5960) Lasers and laser optics : Semiconductor lasers
(230.4040) Optical devices : Mirrors
(280.3640) Remote sensing and sensors : Lidar

ToC Category:
Geometrical optics

Original Manuscript: March 12, 2007
Revised Manuscript: June 1, 2007
Manuscript Accepted: June 1, 2007
Published: July 23, 2007

Mert Serkan, Hulya Kirkici, and Hakan Cetinkaya, "Off-axis mirror based optical system design for circularization, collimation, and expansion of elliptical laser beams," Appl. Opt. 46, 5489-5499 (2007)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. A. V. Jelalian, Laser Radar Systems (Artech House, 1992), pp. 121-206.
  2. J. A. Reagan, H. Liu, and J. F. McCalmont, "Laser diode based new generation lidars," Geoscience and Remote Sensing Symposium (IEEE, 1996), (IGARSS'96) pp. 1535-1537.
  3. J. Alda, "Laser and Gaussian beam propagation and transformation," in Encyclopedia of Optical Engineering (Marcel Dekker, 2003), pp. 999-1013.
  4. K. Tatsuno and A. Arimoto, "Optical system for semiconductor laser," U.S. patent 4,564,268 (January 14, 1986).
  5. H. M. Presby and C. R. Giles, "Asymetric fiber microlenses for efficient coupling to elliptical laser beams," IEEE Photon. Tech. Lett. 5, 184-186 (1993). [CrossRef]
  6. S.-Y. Huang and C. Gaebe, "Astigmatic compensation for an anamorphic optical system," U.S. patent 6,301,059 (October 9, 2001).
  7. Z. Xiao-qun, B. N. K. Ann, and K. S. Seong, "Single aspherical lens for deastigmatism, collimation, and circularization of a laser beam," Appl. Opt. 39, 1148-1151 (2000). [CrossRef]
  8. C. E. Gaebe, S. Huang, K. A. Miller, T. Stanley, and G. T. Wiand, "Cruciform cylindrical lens for elliptical beam transformation," U.S. patent 5,973,853 (October 26, 1999).
  9. H. Hanada, "Beam shaping optical system," U.S. patent 4,318,594 (March 9, 1982).
  10. X. Zeng, C. Cao, and Y. An, "Asymmetrical prism for beam shaping of laser diode stacks," Appl. Opt. 44, 5408-5414 (2005). [CrossRef] [PubMed]
  11. P. Hello and C. N. Man, "Design of a low-loss off-axis beam expander," Appl. Opt. 35, 2534-2536 (1996). [CrossRef] [PubMed]
  12. D. L. Shealy and S.-H. Chao, "Geometric optics-based design of laser beam shapers," Opt. Eng. 42, 3123-3138 (2003). [CrossRef]
  13. H. Kogelnik, "Propagation of laser beams," in Applied Optics and Optical Engineering (Academic, 1979), Vol. VII, pp. 155-190.
  14. D. C. O'Shea, Elements of Modern Optical Design (Wiley, 1985), pp. 230-234.
  15. S. A. Self, "Focusing of Spherical Gaussian Beams," Appl. Opt. 22, 658-661 (1983). [CrossRef] [PubMed]
  16. W. A. E. Goethals, "Laser beam analysis by geometrical optics," in The Physics and Technology of Laser Resonators (IOP Publishing, 1989), pp. 143-153.
  17. L. A. Romero and F. M. Dickey, "Lossless laser beam shaping," J. Opt. Soc. Am. A 13, 751-760 (1996). [CrossRef]
  18. F. M. Dickey and S. C. Holswade, "Gaussian laser beam profile shaping," Opt. Eng. 35, 3285-3295 (1996). [CrossRef]
  19. F. M. Dickey and S. C. Holswade, Laser Beam Shaping Theory and Techniques (Marcel Dekker, 2000), pp. 12-13.
  20. J. A. Hoffnagle and C. M. Jefferson, "Beam shaping with a plano-aspheric lens pair," Opt. Eng. 42, 3090-3099 (2003). [CrossRef]
  21. R. R. Shannon, "Aspheric surfaces," Applied Optics and Optical Engineering (Academic, 1980), Vol. VIII, pp. 55-85.
  22. C. H. Edwards and D. E. Penney, Calculus and Analytic Geometry (Prentice Hall, Inc., 1988), pp. 504-548.
  23. A. E. Siegman, Lasers (University Science Books, 1986), pp. 663-674.
  24. ZEMAX Optical Design program, User's Guide (ZEMAX Development Corporation, 2004).
  25. ZEMAX Development Corporation Web site, www.zemax.com.

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