Analytic beam shaping for flattened output irradiance profile

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

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Document Type: Conference or workshop publication
Year of publication: 2006
Book title: Laser beam shaping VII : 13 - 14 August 2006, San Diego, California, USA
The title of a journal, publication series: Proceedings of SPIE
Volume: 6290
Page range: 629006
Publisher: Dickey, Fred M.
Place of publication: Bellingham, Wash.
Publishing house: SPIE
ISBN: 0-8194-6369-8
Publication language: English
Institution: School of Business Informatics and Mathematics > Optoelektronik (Brenner 1999-2008)
Subject: 004 Computer science, internet
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 M 2.

Dieser Eintrag ist Teil der Universitätsbibliographie.

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