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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 12 — Dec. 1, 2007
  • pp: 3741–3752

Optical design of freeform two-mirror beam-shaping systems

Vladimir Oliker  »View Author Affiliations

JOSA A, Vol. 24, Issue 12, pp. 3741-3752 (2007)

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The problem of design of a two-mirror optical system for reshaping the irradiance distribution of a laser beam in a prescribed manner is considered in the geometrical optics approximation. The presented design equations are derived in a rigorous manner and are applicable to two-mirror optical systems not limited to radiance profiles and beam cross sections that are rotational or rectangular symmetric. The resulting mirrors are free-form surfaces not restricted by a priori constraints. Moreover, the presented approach shows also that even in the general case two different designs are available for the same data. In one of these designs the first mirror is always concave and the second is convex, while in the second design the resulting mirrors may be neither convex nor concave. Since, in general, the surface mirrors are aspherical, the availability of a design with convex and concave mirrors is particularly important for fabrication.

© 2007 Optical Society of America

OCIS Codes
(140.3300) Lasers and laser optics : Laser beam shaping
(220.1250) Optical design and fabrication : Aspherics
(220.2740) Optical design and fabrication : Geometric optical design

ToC Category:
Lasers and Laser Optics

Original Manuscript: August 20, 2007
Manuscript Accepted: September 23, 2007
Published: November 20, 2007

Vladimir Oliker, "Optical design of freeform two-mirror beam-shaping systems," J. Opt. Soc. Am. A 24, 3741-3752 (2007)

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