The 3D Vector Potential, Magnetic Field and Stored Energy in a Thin cos2 theta Coil Array [electronic resource].
- Published:
- Berkeley, Calif. : Lawrence Berkeley National Laboratory, 1997.
Oak Ridge, Tenn. : Distributed by the Office of Scientific and Technical Information, U.S. Dept. of Energy. - Additional Creators:
- Lawrence Berkeley National Laboratory
United States. Department of Energy. Office of Scientific and Technical Information - Access Online:
- www.osti.gov
- Summary:
- The vector potential and the magnetic field have been derived for an arrays of quadrupole magnets with thin Cos(2θ) current sheet placed at r = R.{sup bc}. The field strength of each coil within the array, varies purely as a Fourier sinusoidal series of the longidutinal coordinate z in proportion to ω{sub m}z, where ω{sub m} = (2m-1)π/L, L denotes the half-period, and m = 1,2,3 etc. The analysis is based on the expansion of the vector potential in the region external to the windings of a linear 3D quad, and a revision of that expansion by the application of the 'Addition Theorem' from that around the coil center to that around any arbitrary point in space.
- Note:
- Published through SciTech Connect.
07/09/1997.
"lbnl-40564"
Caspi, S.
Accelerator&
Fusion Research Division - Funding Information:
- DE-AC02-05CH11231
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