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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 25, Iss. 12 — Dec. 1, 2008
  • pp: 3067–3076

On design of free-form refractive beam shapers, sensitivity to figure error, and convexity of lenses

Vladimir Oliker  »View Author Affiliations


JOSA A, Vol. 25, Issue 12, pp. 3067-3076 (2008)
http://dx.doi.org/10.1364/JOSAA.25.003067


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Abstract

The problem of design of a two-lens 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 free-form two-lens optical systems without any a priori symmetry assumptions on radiance profiles and beam cross sections. The obtained equations are applied to derive an equation defining sensitivity of the output radiation intensity to figure errors. This equation is applied to analyze sensitivity in several cases, including rotationally symmetric reshapers with nonrotationally symmetric figure error. 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 one lens is always concave or convex and the second is convex or concave, while in the second design the lenses may be neither convex nor concave. Since, in general, the surface lenses are aspherical, the availability of a design with convex/concave lenses is particularly important for fabrication.

© 2008 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:
Optical Design and Fabrication

History
Original Manuscript: August 29, 2008
Manuscript Accepted: September 28, 2008
Published: November 24, 2008

Citation
Vladimir Oliker, "On design of free-form refractive beam shapers, sensitivity to figure error, and convexity of lenses," J. Opt. Soc. Am. A 25, 3067-3076 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-12-3067

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