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RIS citation export for THPOA31: Sector Magnets or Transverse Electromagnetic Fields in Cylindrical Coordinates

AU - Zolkin, T.
ED - Schaa, Volker RW
ED - Power, Maria
ED - Shiltsev, Vladimir
ED - White, Marion
TI - Sector Magnets or Transverse Electromagnetic Fields in Cylindrical Coordinates
J2 - Proc. of NAPAC2016, Chicago, IL, USA, October 9-14, 2016
C1 - Chicago, IL, USA
T2 - North American Particle Accelerator Conference
T3 - 3
LA - english
AB - Laplace's equation in normalized cylindrical coordinates is considered for scalar and vector potentials describing electric or magnetic fields with invariance along the azimuthal coordinate (arXiv:1603.03451). A series of special functions are found which when expanded to lowest order in power series in radial and vertical coordinates (rho=1 and y=0) replicate harmonic homogeneous polynomials in two variables. These functions are based on radial harmonics found by Edwin M. McMillan forty years ago. In addition to McMillan's harmonics, a second family of radial harmonics is introduced to provide a symmetric description between electric and magnetic fields and to describe fields and potentials in terms of the same functions. Formulas are provided which relate any transverse fields specified by the coefficients in the power series expansion in radial or vertical planes in cylindrical coordinates with the set of new functions. This result is important for potential theory and for theoretical study, design and proper modeling of sector dipoles, combined function dipoles and any general sector element for accelerator physics and spectrometry.
CP - Geneva, Switzerland
SP - 1167
EP - 1170
KW - ion
KW - multipole
KW - dipole
KW - electromagnetic-fields
DA - 2017/01
PY - 2017
SN - 978-3-95450-180-9
DO - 10.18429/JACoW-NAPAC2016-THPOA31
UR - https://jacow.org/napac2016/papers/thpoa31.pdf
ER -