We have developed an harmonic representation for the three dimensional field components within the windings of accelerator magnets. The form by which the field is presented is suitable for interfacing with other codes that make use of the 3D field components (particle tracking and stability). The field components can be calculated with high precision and reduced cup time at any location (r,{theta},z) inside the magnet bore. The same conductor geometry which is used to simulate line currents is also used in CAD with modifications more readily available. It is our hope that the format used here for magnetic fields can be used not only as a means of delivering fields but also as a way by which beam dynamics can suggest correction to the conductor geometry. 5 refs., 70 figs.
Caspi, S., Helm, M., and Laslett, L.J. 3D field harmonics. United States: N. p., 1991.
Web. doi:10.2172/5232433.
Caspi, S., Helm, M., & Laslett, L.J. 3D field harmonics. United States. doi:10.2172/5232433.
Caspi, S., Helm, M., and Laslett, L.J. Sat .
"3D field harmonics". United States.
doi:10.2172/5232433. https://www.osti.gov/servlets/purl/5232433.
@article{osti_5232433,
title = {3D field harmonics},
author = {Caspi, S. and Helm, M. and Laslett, L.J.},
abstractNote = {We have developed an harmonic representation for the three dimensional field components within the windings of accelerator magnets. The form by which the field is presented is suitable for interfacing with other codes that make use of the 3D field components (particle tracking and stability). The field components can be calculated with high precision and reduced cup time at any location (r,{theta},z) inside the magnet bore. The same conductor geometry which is used to simulate line currents is also used in CAD with modifications more readily available. It is our hope that the format used here for magnetic fields can be used not only as a means of delivering fields but also as a way by which beam dynamics can suggest correction to the conductor geometry. 5 refs., 70 figs.},
doi = {10.2172/5232433},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sat Mar 30 00:00:00 EST 1991},
month = {Sat Mar 30 00:00:00 EST 1991}
}