NOTICE: Due to a lapse in annual appropriations, most of this website is not being updated. Learn more.
Form submissions will still be accepted but will not receive responses at this time. Sections of this site for programs using non-appropriated funds (such as NVLAP) or those that are excepted from the shutdown (such as CHIPS and NVD) will continue to be updated.
An official website of the United States government
Here’s how you know
Official websites use .gov
A .gov website belongs to an official government organization in the United States.
Secure .gov websites use HTTPS
A lock (
) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.
Use of Matrices to Represent Electron Lenses. Matrices for the Two-Tube Electrostatic Lens
Published
Author(s)
D DiChio, S Natali, C Kuyatt, A Galejs
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.
DiChio, D.
, Natali, S.
, Kuyatt, C.
and Galejs, A.
(1974),
Use of Matrices to Represent Electron Lenses. Matrices for the Two-Tube Electrostatic Lens, Review of Scientific Instruments
(Accessed October 16, 2025)