A novel exact analytical expression for the magnetic field of a solenoid. Issue 4 (4th July 2022)

• Record Type: Journal Article
• Authors: Behtouei, Mostafa; Faillace, Luigi; Spataro, Bruno; Variola, Alessandro; Migliorati, Mauro
• Is Part Of: Waves in random and complex media. Volume 32:Issue 4(2022)
• Page Start: 1977
• Page End: 1991
• Publication Date: 2022-07-04
• Subjects: Particle acceleration -- linear accelerators -- accelerator applications -- accelerator subsystems and technologies -- mathematical physics; Electromagnetic waves -- Periodicals; Electromagnetic waves -- Scattering -- Periodicals; 531.1133
• DOI: 10.1080/17455030.2020.1842554
• Languages: English
• ISSNs: 1745-5030

Abstract

Abstract : In this paper we present the analytical calculations to derive the magnetic field of a solenoid by solving exactly a fractional integral with the use of a novel method. Starting from the Biot-Savart law, we consider a coil of negligible thickness with a stationary electric current. We derive the expressions of the on- and off-axes magnetic field components. The results have been compared to some simplified and known analytical formulae as well as to a commercial numerical code showing a good agreement.