Off-axis expansion solution of Laplace's equation: Application to accurate and rapid calculation of coil magnetic fields

IEEE Transactions on Electron Devices

Volumn 46, Issue 5, 1999, Pages 1050-1062

  Jackson, Robert H ^a,b  

^a NAVAL RESEARCH LABORATORY   (United States)

^b NOKIA RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATOR MAGNETS; ALGORITHMS; ELECTRIC FIELDS; ELECTROMAGNETS; ELECTRON OPTICS; ELECTRON TUBES; LAPLACE TRANSFORMS; MAGNETIC FIELDS; PERMANENT MAGNETS;

OFF-AXIS EXPANSION;

SOLENOIDS;

EID: 0032656002     PISSN: 00189383     EISSN: None     Source Type: Journal    
DOI: 10.1109/16.760416     Document Type: Article

References (19)

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4. J.R. Vaughan IEEE Trans. Electron Devices vol. ED-19 pp. 144-151 Jan. 1972.
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11. J.R. Reitz and F.J. Milford Foundations Of Electromagnetic Theory 2nd ed. Reading MA: Addison-Wesley 1967.
12. Differentiation and symbolic manipulations were greatly facilitated by the use of the computational mathematics program Theorist a product of Waterloo Maple Software Waterloo Ont. Canada. This product has been renamed Math View.
13. G. Arfken Mathematical Methods for Physicists 3rd ed. New York: Academic 1985.
14. J.D. Jackson Classical Electrodynamics 2nd ed. New York: Wiley 1975.
15. S.J. Sackett EFFI - A code for calculating the electromagnetic field Force and Inductance in Coil Systems of Arbitrary Geometry Lawrence Livermore National Laboratory Rep. UCRL-52402 1978.
16. SCRIBe is a version of Dr.W.B. Herrmannsfeldt's EGUN code ca. 1977 which has been modified since that time by the Vacuum Electronics Branch at the Naval Research Laboratory to meet internal needs for simulation of electron optical systems. (Also see [3]).
17. The author is grateful to Dr.K. Nguyen for providing the data on the gyroklystron superconducting magnet.
18. Maxwell 2-D is a commercial finite-element method magnetics simulation code. It was developed and is available from Ansoft Corp. Four Station Square Suite 660 Pittsburgh PA 15219 USA.
19. The computation was performed on a Power Macintosh with an 80-MHz PPC601 CPU. The code which performed this calculation was written in Fortran and compiled with an MPW Fortran77 compiler from Absoft Corp. 2781 Bond St. Rochester Hills MI 48309 USA.