# Space charge in linear machines

- Institution: CERN
- Department: CAS - CERN Accelerator School
- Speaker: Massimo Ferrario
- Year: 2024
- Level: Graduate
- Language: English
- Subjects: Physics, Astronomy and space
- Source: [CERN](https://videos.cern.ch/record/3022748)
- Licence: [CERN](https://copyright.web.cern)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

Space charge forces are those generated directly by the charge distribution within th bunch. In this lecture we introduce, from basic principles, the main concepts of beam focusing and transport in high brightness linacs and injectors under the effects of space charge forces using the beam envelope equation as a convenient mathematical tool. Matching conditions suitable for preserving beam quality are derived from the model for significant beam dynamics regimes.

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## Lectures

1. [Space charge in linear machines](https://invisiblenetwork.ai/learn/cern/3022748/db62551f5f0d), 55 min (CERN's player)