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Relations between Elements of Transfer Matrices due to the Condition of Symplecticity

Abstract

Relations are derived between elements of transfer matrices. These relations result from the fact that the motion of charged particles from one profile plane to another can be described as a canonical transformation. The derived four first order relations are already known. Similarly, the higher order relations are very useful to check results of numerical ion optical calculations.

H. Wollnik, M. Berz, Nuclear Instruments and Methods A238 (1985) 127-140

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