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Improvised Algorithm for Emittance Calculation in Phase Space without Absorbers

This project outlines a makeshift algorithm that is integrated into stepping actions to analyze emittance in phase space. The algorithm detects if the stepping action crosses a virtual plane and performs linear interpolation if it does. Initial results show a 5.5π emittance, with various configurations assessed: (a) no absorbers or electrostatics, (b) including electrostatic fields but no absorbers, (c) absorbers without electrostatics, and (d) both absorbers and electrostatics in the system. This could lead to valuable data for understanding magnetic lattice configurations.

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Improvised Algorithm for Emittance Calculation in Phase Space without Absorbers

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  1. Dodgy Hack Virtual Planes • Have written an algorithm directly into the stepping action • Takes either end of step, tests to see if it straddles a virtual plane • If yes, performs linear interpolation over the step • Rubbish hack, but I need data.

  2. Results - 5.5pi emittance Turquoise - phase space emittance Pink - unnormalised trace space emittance (I think)

  3. Results - equilibrium emittance & full magnetic lattice(a) no absorbers or electrostatics (b) electrostatic field but no absorbers (c) absorbers but no electrostatics (d) absorbers & electrostatics

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