Electrostatic Bender Fields, Optics, Aberrations, with Application to the Proton EDM Ring

R. Baartman

Electrostatic Bender Fields, Optics, Aberrations, with Application to the Proton EDM Ring

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arxiv 1508.00157 v1 pith:EBU2EMBD submitted 2015-08-01 physics.acc-ph

R. Baartman This is my paper

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keywords opticsorderfieldsbenderelectrostaticproposedprotonring

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Electrostatic bender optics are derived up to second order (third order in fields and the Hamiltonian) and applied to the proposed EDM proton ring. The results for linear optics agree with those already presented by V.\ Lebedev (Nov.\ 18, 2013). Second order optics is not sensitive to the shape of the fringe fields and formulas are given. It is shown that the proposed electrode shape that linearizes the vertical electric field is no advantage to this order.

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A new COSY-Infinity code, GES, for electrostatic toroidal bends with fringe fields agrees with GIOS and with the author's hard-edge theory, and shows that COSY's ESP routine misses a curvature-derivative fringe-field term.

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