Derivation of coupled equations of motion in the accelerators

New equations of motion to describe the coupling phenomena between the transverse and longitudinal coordinates in the accelerators are derived from D’Alembert’s principle. To consider the longitudinal motion, the new coordinate system comoving with the ideal particle is suggested. The newly derived...

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Bibliographic Details
Published inJournal of the Korean Physical Society Vol. 81; no. 8; pp. 750 - 756
Main Authors Kim, Jun-hyoung, Park, Jeong-Wan, Park, Youngmin, Nam, Ki Moon, Parc, Yong Woon
Format Journal Article
LanguageEnglish
Published Seoul The Korean Physical Society 01.10.2022
Springer Nature B.V
Subjects
Coordinates
Coupling
Equations of motion
Free electron lasers
Mathematical analysis
Mathematical and Computational Physics
Original Paper - Fluids
Particle accelerators
Particle and Nuclear Physics
Physics
Physics and Astronomy
Plasma and Phenomenology
Storage rings (particle accelerators)
Theoretical
D’Alembert’s principle
Virtual work principle
Lever principle
Accelerator
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Summary:New equations of motion to describe the coupling phenomena between the transverse and longitudinal coordinates in the accelerators are derived from D’Alembert’s principle. To consider the longitudinal motion, the new coordinate system comoving with the ideal particle is suggested. The newly derived coupled equations of motion with the new coordinate system is useful in investigating the coupling not only in the storage ring but also in steady-state microbunching (SSMB) and in X-ray free-electron laser (XFEL).
ISSN:0374-4884
1976-8524
DOI:10.1007/s40042-022-00615-7