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Proceedings Paper

Matrizant method for an optimal synthesis of nonlinear magnetic and electrostatic focusing systems for a given beam current
Author(s): Alexander D. Dymnikov; Genoveva Martinez
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Paper Abstract

The Matrizant method for the synthesis of magnetic and electrostatic focusing systems, producing an optimal beam quality (a minimum spot size for a given beam current), is proposed. This method includes: the matrix method for the description of motion of a charged particle beam in the nonlinear approximation on the base of a general relativistic theory of charged particle beam motion along a curved optical axis, developed by one of the authors; the analytical model of the axial field or their derivatives; the method of the moments of the particle distribution function over the whole totality of the phase coordinates for finding the averaged radius of the beam; and the integral equation method to solve Laplace's equation for obtaining the parameters of the physical model which has the same axial field as the mathematical model. As an example, the developed Matrizant method is applied to minimize the beam spot size for a given beam emittance in a focusing system consisting of multiple cylinder lenses with equal diameter.

Paper Details

Date Published: 25 September 1997
PDF: 9 pages
Proc. SPIE 3155, Charged Particle Optics III, (25 September 1997); doi: 10.1117/12.287809
Show Author Affiliations
Alexander D. Dymnikov, Univ. Complutense de Madrid (Spain)
Genoveva Martinez, Univ. Complutense de Madrid (Spain)


Published in SPIE Proceedings Vol. 3155:
Charged Particle Optics III
Eric Munro, Editor(s)

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