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A CAD Tool for Linear Optics Design: A Controls Engineer's Geometric Approach to Hill's Equation

2021/09/29 by J. Bengtsson, Bengtsson, J., Will Rogers +3
Engineering · #Accelerator Physics (physics.acc-ph) #Electromagnetic Simulation and Numerical Methods #FOS: Physical sciences #Particle Accelerators and Free-Electron Lasers #Particle accelerators and beam dynamics

paper · pdf · doi:10.48550/arxiv.2109.15066

openalex publication_date 2021/09/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The formulae relevant for the Linear Optics design of Synchrotrons are derived systematically from first principles, a straightforward exercise in Hamiltonian Dynamics. Equipped with these, the relevant "Use Cases" are then captured for a streamlined approach. This will enable professionals -- Software Engineers -- to efficiently prototype & architect a CAD Tool for ditto; something which has been available to Mechanical Engineers since the mid-1960s.

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