Relations between Projected Emittances and Eigenemittances

2013/05/07 by V. Balandin, Balandin, V., W. Decking +3
Engineering · Mathematics · Physics and Astronomy · #Accelerator Physics (physics.acc-ph) #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #Mathematical Physics (math-ph) #Particle Accelerators and Free-Electron Lasers #Particle accelerators and beam dynamics #math-ph #math.MP #physics.acc-ph

paper · pdf · doi:10.48550/arxiv.1305.1532

3 pages, IPAC13

arxiv created 2013/05/07 · openalex publication_date 2013/05/07 · arxiv updated 2013/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give necessary and sufficient conditions that two sets of positive real numbers must satisfy in order to be realizable as eigenemittances and projected emittances of a beam matrix. The information provided by these conditions sets limits on what one can to achieve when designing a beam line to perform advanced emittance manipulations.

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