### Abstract

A fifth-order relativistic aberration theory for rotationally symmetric electromagnetic focusing systems including spherical cathode lenses is developed by means of the variational principle. The charged particles are supposed to be emitted with definite initial energy and angular distributions; the object and image planes may have finite curvatures; the source is immersed in both magnetic and transversal electric fields. For this general case, universal formulas for fifth-order transversal geometrical and chromatic aberrations at an arbitrary image plane are given in explicit form. The aberrations are expressed in matrix form, and are thus suitable for computer calculations. These formulas can be applied for computer aided design of image tubes and other electron optical devices.

Original language | English (US) |
---|---|

Pages (from-to) | 33-40 |

Number of pages | 8 |

Journal | Optik (Jena) |

Volume | 79 |

Issue number | 1 |

Publication status | Published - Apr 1988 |

### Fingerprint

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Optik (Jena)*,

*79*(1), 33-40.