Analytic beam shaping for flattened output irradiance profile

David L. Shealy; John A. Hoffnagle; Karl-Heinz Brenner

doi:10.1117/12.681114

9 September 2006 Analytic beam shaping for flattened output irradiance profile

David L. Shealy, John A. Hoffnagle, Karl-Heinz Brenner

Proceedings Volume 6290, Laser Beam Shaping VII; 629006 (2006) https://doi.org/10.1117/12.681114
Event: SPIE Optics + Photonics, 2006, San Diego, California, United States

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.

Citation Download Citation

David L. Shealy, John A. Hoffnagle, and Karl-Heinz Brenner "Analytic beam shaping for flattened output irradiance profile", Proc. SPIE 6290, Laser Beam Shaping VII, 629006 (9 September 2006); https://doi.org/10.1117/12.681114

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