Derivation, cross-validation, and comparison of analytic formulas for electrostatic deflector aberrations
Eremey Valetov⁎; Martin Berz Michigan State University, East Lansing, MI, United States⁎Corresponding author. email address: eremey@valetov.com
Abstract
We derived first and second order analytic aberration formulas in the horizontal transverse plane for an electrostatic deflector specified by the reference orbit radius, the central angle spanning the deflector, and its inhomogeneity coefficients. The derivation was performed using an iterative order-by-order perturbation method in a Frenet–Serret beamline coordinate system. We produced a C program edabrt for calculation of the first and second order aberrations using the formulas ...
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