Analysis of beam loading in electrostatic columns

George J Caporaso, John J. Barnard

Research output: Chapter in Book/Report/Conference proceedingConference contribution


A lumped element circuit model is derived which accounts for both electric and magnetic coupling of the beam to the electrodes and drive circuitry of an electrostatic column. A modified one dimensional Poisson equation which incorporates two dimensional effects is discussed. An effective capacitance between the beam and the column electrodes which affects the electric coupling is estimated. Simple analytic cases which treat electric and magnetic coupling separately are solved and compared against a numerical simulation. Scaling laws are given for the magnitude of the beam loading.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Particle Accelerator Conference
Place of PublicationPiscataway, NJ, United States
PublisherPubl by IEEE
Number of pages3
ISBN (Print)0780312031
StatePublished - 1993
Externally publishedYes
EventProceedings of the 15th Biennial Particle Accelerator Conference. Part 1 (of 5) - Washington, DC, USA
Duration: May 17 1993May 20 1993


OtherProceedings of the 15th Biennial Particle Accelerator Conference. Part 1 (of 5)
CityWashington, DC, USA

ASJC Scopus subject areas

  • Engineering(all)


Dive into the research topics of 'Analysis of beam loading in electrostatic columns'. Together they form a unique fingerprint.

Cite this