Use of matrices to represent electron lenses. Matrices for the two-tube electrostatic lens

Abstract
The use of matrices to represent electron lenses is discussed. It is shown that it is more convenient and natural to represent a lens by a matrix and that the matrix elements show a more regular behavior than do the focal properties. Thus matrices are more convenient to use in computer programs. Matrix elements for the two‐tube electrostatic lens are presented and their properties discussed. A simple analytical form for the matrix elements of lenses with near‐unity voltage ratios is given.

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