On magnetic field of ring current

Issue title: Atomic and molecular nonlinear optics: Theory, Experiment and Computation A homage to the pioneering work of Stanisław Kielich (1925-1993)

Guest editors: G. Maroulis, T. Bancewicz, B. Champagne and A.D. Buckingham

Article type: Research Article

Authors: Mestechkin, M. M.^{; *}

Affiliations: 12773 Seabreeze Farms Dr. # 33 San Diego, CA 92130, USA

Correspondence: [*] Corresponding author. E-mail: [email protected].

Abstract: The explicit expression for magnetic induction vector of a ring current at arbitrary point in toroidal coordinates is presented in terms of the full elliptic integral of the first kind and its derivative over integral modulus. There is a conjugated point for any observation point: it is an image of the latter in a sphere with the ring current as its equator. The conjugated point lies on the same vector and has the same integral modulus as the initial point.

Keywords: Ring current, magnetic induction vector, full elliptic integral, toroidal coordinates

DOI: 10.3233/JCM-2010-0336

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 10, no. 3-6, pp. 483-488, 2010