Vector Potential and Stored Energy of a Quadrupole Magnet Array
Conference
·
OSTI ID:1011420
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 2{theta} and the longitudinal periodicity (2m-1){pi}/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 cos2{theta} the gradient is pure, such purity is not preserved in a quadrupole array.
- Research Organization:
- Ernest Orlando Lawrence Berkeley National Laboratory, Berkeley, CA (US)
- Sponsoring Organization:
- Accelerator& Fusion Research Division
- DOE Contract Number:
- AC02-05CH11231
- OSTI ID:
- 1011420
- Report Number(s):
- LBNL-42510
- Country of Publication:
- United States
- Language:
- English
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