Statistical approach to beam shaping

Dmitry Varentsov, Igor M. Tkachenko, and Dieter H. H. Hoffmann
Phys. Rev. E 71, 066501 – Published 23 June 2005

Abstract

A method for beam shaping based on fitting the power moments of the final beam intensity distribution and independent of the optical system particularities is suggested. It is shown how one can analytically calculate any moment of the final phase space distribution using the moments of the initial distribution and the optical system transfer map. Numerical tests carried out for a final focus system have demonstrated the usefulness of the approach developed here.

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  • Received 16 November 2004

DOI:https://doi.org/10.1103/PhysRevE.71.066501

©2005 American Physical Society

Authors & Affiliations

Dmitry Varentsov1, Igor M. Tkachenko2, and Dieter H. H. Hoffmann1,3

  • 1Institut für Kernphysik, Technische Universität Darmstadt, Schlossgartenstraße 9, 64289 Darmstadt, Germany
  • 2Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, Camino de Vera s/n, 46022 Valencia, Spain
  • 3Gesellschaft für Schwerionenforschung, Planckstraße 1, 64291 Darmstadt, Germany

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Issue

Vol. 71, Iss. 6 — June 2005

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