A harmonic expansion for the magnetic field of the helical solenoid
type: Item
instance of: scholarly article
title: A harmonic expansion for the magnetic field of the helical solenoid
zbMATH Open document ID: 0652.65093
DOI: 10.1016/0021-9991(88)90179-9
author: Henry Gardner
author: R. L. Dewar
published in: Journal of Computational Physics
publication date: 1988-01-01T00:00:00Z
review text: The authors study a boundary value problem for finding the scalar magnetic potentials inside and outside of a helically symmetric solenoid. The conventional Fourier-Bessel series for the interior and exterior potentials are introduced. Ignoring the question of convergence for the moment, the partial sums of series are used to approximate the potentials numerically. A Green's function integral representation for the series coefficients is derived and the asymptotic behaviour of these coefficients is calculated by the technique of saddle point integration in the complex plane. Two transcendental equations whose solutions are the radii of convergence of the series for the interior and exterior potentials are derived.
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65E05
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 85A30
Mathematics Subject Classification ID: 85-08
zbMATH DE Number: 4064428
zbMATH Keywords: harmonic expansion
zbMATH Keywords: magnetic potentials
zbMATH Keywords: helically symmetric solenoid
zbMATH Keywords: Fourier-Bessel series
zbMATH Keywords: Green's function integral representation
zbMATH Keywords: transcendental equations
zbMATH Keywords: convergence
MaRDI profile type: Publication
full work available at URL: 0021-9991(88)90179-9
OpenAlex ID: W1992871785
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description: scientific article; zbMATH DE number 4064428