Abstract
An approach to the creation of corpuscular-optical devices for transforming charged particle beams is discussed. These devices are useful for the optimization and creation of the most convenient configuration of the ion path. The approach relies on an inverse dynamics problem formulated on the basis of the Hamilton–Jacobi equation. Motion in the symmetry plane of a three-dimensional field is considered. The problem is solved by analytical methods. An algorithm for the construction electric fields ensuring particle motion along the desired trajectories is described. It is based on the method of physical analogies. The procedure is illustrated by an example. The calculated two-dimensional potential is extended to the 3D-space by a power series on the transverse coordinate. A device embodiment example is demonstrated on the basis of the calculated field structure.
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