Skip to main content

A theorem on high-order geometric spherical aberrations for Hutter`s electrostatic lens

Buy Article:

$28.45 plus tax (Refund Policy)


Abstract: In this paper third-, fifth-, seventh-, and ninth-order geometric spherical aberrations for Hutter's electrostatic lens have been studied analytically and calculated numerically by means of Mathematica. Therefore, a theorem on high-order geometric spherical aberrations has been established. In addition, in the present work we use the Hamiltonian function expansion method in stead of the generalized integration transformation method because it is more concise and simpler. The numerical results show that up to ninth-order spherical aberrations always keep the positive sign for Hutter's lenses at the condition of infinite magnification. This theoretical conclusion would be regarded as a complement of Scherzer's theorem on the third-order spherical aberration and may be helpful for estimating the effect of high-order spherical aberrations in electrostatic immersion lenses.

Keywords: Electrostatic lens; canonical aberration theory; spherical aberration

Document Type: Original Article


Affiliations: Department of Electronics, Peking University, Beijing 100871, P. R. China

Publication date: May 1, 2001


Access Key

Free Content
Free content
New Content
New content
Open Access Content
Open access content
Subscribed Content
Subscribed content
Free Trial Content
Free trial content
Cookie Policy
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more