180
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

A novel exact analytical expression for the magnetic field of a solenoid

, , , &
Pages 1977-1991 | Received 29 Feb 2020, Accepted 19 Oct 2020, Published online: 05 Nov 2020

References

  • Ferrario M, Alesini D, Bacci A, et al.Direct measurement of the double emittance minimum in the beam dynamics of the SPARC high-brightness photoinjector. Phys Rev Lett. 2007;99(23):234801.
  • Migliorati M, Dattoli G. Transport matrix of a solenoid with linear fringe field. Nuovo Cimento Soc Ital Fis B Gen Phys Relativ Astron Math Phys Meth. 2009;124(4):385.
  • Stratakis D, Gallardo JC, Palmer RB. Effects of external magnetic fields on the operation of high-gradient accelerating structures. Nucl Instrum Methods Phys Res A Accel Spectrom Detect Assoc Equip. 2010;620(2–3):147–154.
  • Nezhevenko OA, Yakovlev VP, Hirshfield JL, et al. 34.3 GHz accelerating structure for high gradient tests. PACS2001. Proceedings of the 2001 Particle Accelerator Conference (Cat. No. 01CH37268); Vol. 5, IEEE; 2001.
  • Behtouei M, Faillace L, Ferrario M, et al. Initial design of a high-power Ka-band klystron. J Phys: Conference Series. Vol. 1596, No. 1. IOP Publishing; 2020.
  • Brady LW, Yaeger TE. Encyclopedia of radiation oncology; 2013.
  • Pappas PT. The original Ampere force and Biot-Savart and lorentz forces. Il Nuovo Cimento B (1971–1996). 1983;76(2):189–197.
  • Jackson JD. Classical electrodynamics. 3rd ed. New York: John Wiley & Sons, Inc.; 1999. p. 841–842.
  • Bassetti M, Biscari C, Analytical formulae for magnetic multipoles. Part Accel. 1996;52:221–250.
  • Caspi S, Help M, Laslett LJ. 3D Field harmonics. LBL report SC-MAG-328; 1991.
  • Caspi S, Helm M, Laslett LJ, et al. An approach to 3D magnetic field calculation using numerical and differential algebra methods No. LBL-32624; SC-MAG-395. Berkeley (CA): Lawrence Berkeley Lab; 1992.
  • Caspi S, Helm M, Laslett LJ. The use of harmonics in 3-D magnetic fields. IEEE Trans Magn. 1994;30(4):2419–2422.
  • Leleux G. Complements sur la physique des acc 'el' erateurs, 'dea de physique et technologie des grands instruments, rapport CEA/DSM/LNS/86-101, CEA, Saclay, Tech. Rep.; 1986
  • Caciagli A, Baars RJ, Philipse AP. Exact expression for the magnetic field of a finite cylinder with arbitrary uniform magnetization. J Magn Magn Mater. 2018;456:423–432.
  • Bassetti M. Analytical formula for the centrifugal space charge effects. No. CERN-LEP-TH-86-13; 1986.
  • Caputo M. Linear models of dissipation whose Q is almost frequency independent?II. Geophys J Int. 1967;13(5):529–539.
  • Lovoie JL, Osler TJ, Tremblay R. Fractional derivatives and special functions. SIAM Rev. 1976;18(2):240–268.
  • Osler TJ. The fractional derivative of a composite function. SIAM J Math Anal. 1970;1(2):288–293.
  • Amaldi E. Fisica sperimentale II. Liguori, editor; 1988.
  • Mencuccini C, Silvestrini V. Fisica II (elettromagnetismo, ottica). Liguori, editor; 1988.
  • Cst studio suite 2018; 1988. Availabe from: www.cst.com.
  • Available from: http://www.wolfram.com/Mathematica.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.