Title :
Vector potential and stored energy of a quadrupole magnet array
Author_Institution :
Lawrence Berkeley Nat. Lab., CA, USA
Abstract :
The vector potential, magnetic field and stored energy of a quadrupole magnet array are derived. Each magnet within the array is a current sheet with a current density proportional to the azimuthal angle 2θ and the longitudinal periodicity (2m-1)π/L. Individual quadrupoles within the array are oriented in a way that maximizes the field gradient. The array does not have to be of equal spacing and can be of a finite size, however when the array is equally spaced and is of infinite size the solution can be simplified, We note that whereas, in a single quadrupole magnet with a current density proportional to cos2θ the gradient is pure, such purity is not preserved in a quadrupole array
Keywords :
accelerator magnets; linear accelerators; magnetic fields; magnetostatics; superconducting magnets; current density; magnetic field; quadrupole magnet array; stored energy; vector potential; Acceleration; Azimuthal angle; Current density; Ion accelerators; Linear particle accelerator; Magnetic fields; Particle beams; Potential energy; Superconducting coils; Superconducting magnets;
Conference_Titel :
Particle Accelerator Conference, 1999. Proceedings of the 1999
Conference_Location :
New York, NY
Print_ISBN :
0-7803-5573-3
DOI :
10.1109/PAC.1999.792940
