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Phys. Rev. E 71, 066501 (2005) [7 pages]

Statistical approach to beam shaping

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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

Received 16 November 2004; published 23 June 2005

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.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.71.066501
DOI:
10.1103/PhysRevE.71.066501
PACS:
41.85.−p, 52.59.−f, 29.27.−a, 02.70.Rr