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Proceedings Paper

Designing refractive beam shapers via aberration theory
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Paper Abstract

In this paper, we use aberration theory to design a refractive laser beam shaper in the configuration of two-aspheric lenses, whose analytical equations are known, but rather complicated. Specifically, we use results from third order aberration theory to obtain the parameters of the refracting laser beam shaper from the transverse aberration, which are then used as a starting point for further optimization by using optical design software. This approach was developed during the beginning of the twentieth century, works well for systems with a low numerical aperture, and allows one to define the following parameters of an optical system: radii of curvature, indices of refraction, thicknesses or air gaps, and conic constants of second order aspheric surfaces. We shall consider surfaces of the second-order spherical and conic sections and shall consider the example of designing of a two-lens beam shaper of the Keplerian 1-to-1 telescopic design providing a theoretical flat phase front and a flat-top irradiance profile of the output beam, where the ray mapping function from the input aperture to the output aperture is known from the literature. Explicit expression for third order longitudinal aberration and the Seidel coefficients are expressed in terms beam waist and input beam geometrical parameter, indices, lens radii and conic constants.

Paper Details

Date Published: 25 September 2014
PDF: 10 pages
Proc. SPIE 9194, Laser Beam Shaping XV, 91940T (25 September 2014); doi: 10.1117/12.2063388
Show Author Affiliations
Alexander Laskin, AdlOptica Optical Systems GmbH (Germany)
David Shealy, The Univ. of Alabama at Birmingham (United States)

Published in SPIE Proceedings Vol. 9194:
Laser Beam Shaping XV
Andrew Forbes; Todd E. Lizotte, Editor(s)

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