### 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 |

State | Published - Apr 1988 |

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### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Optik (Jena)*,

*79*(1), 33-40.

**FIFTH-ORDER RELATIVISTIC ABERRATION THEORY FOR ELECTROMAGNETIC FOCUSING SYSTEMS INCLUDING SPHERICAL CATHODE LENSES.** / Ai Kecong, Kecong; Szilagyi, Miklos N.

Research output: Contribution to journal › Article

*Optik (Jena)*, vol. 79, no. 1, pp. 33-40.

}

TY - JOUR

T1 - FIFTH-ORDER RELATIVISTIC ABERRATION THEORY FOR ELECTROMAGNETIC FOCUSING SYSTEMS INCLUDING SPHERICAL CATHODE LENSES.

AU - Ai Kecong, Kecong

AU - Szilagyi, Miklos N

PY - 1988/4

Y1 - 1988/4

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0023997045&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0023997045&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0023997045

VL - 79

SP - 33

EP - 40

JO - Optik

JF - Optik

SN - 0030-4026

IS - 1

ER -