9 September 2006 Analytic beam shaping for flattened output irradiance profile
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Abstract
A flattened Lorentzian irradiance profile, which was introduced by Brenner in 2003, offers prospects for analytic design of beam shaping optics when transforming a Gaussian beam into a soft-flat-top profile. It is shown that for the flattened Lorentzian profile the output power integral and the ray mapping function are analytic functions. This paper presents a systematic derivation of the flattened Lorentzian profile from the super-Lorentzian profile and exploration of properties of the flattened Lorentzian profile and compares its behavior to the super-Gaussian, flattened Gaussian, and Fermi-Dirac profiles. Details are presented for evaluation of the FL profile normalization, profile matching conditions, ray mapping function, and M2.
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David L. Shealy, David L. Shealy, John A. Hoffnagle, John A. Hoffnagle, Karl-Heinz Brenner, Karl-Heinz Brenner, } "Analytic beam shaping for flattened output irradiance profile", Proc. SPIE 6290, Laser Beam Shaping VII, 629006 (9 September 2006); doi: 10.1117/12.681114; https://doi.org/10.1117/12.681114
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