Designing refractive beam shapers via aberration theory

Alexander Laskin; David Shealy

doi:10.1117/12.2063388

25 September 2014 Designing refractive beam shapers via aberration theory

Alexander Laskin, David Shealy

Proceedings Volume 9194, Laser Beam Shaping XV; 91940T (2014) https://doi.org/10.1117/12.2063388
Event: SPIE Optical Engineering + Applications, 2014, San Diego, California, United States

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.

Citation Download Citation

Alexander Laskin and David Shealy "Designing refractive beam shapers via aberration theory", Proc. SPIE 9194, Laser Beam Shaping XV, 91940T (25 September 2014); https://doi.org/10.1117/12.2063388

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