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.

A novel exact analytical expression for the magnetic field of a solenoid / Behtouei, M.; Faillace, L.; Spataro, B.; Variola, A.; Migliorati, M.. - In: WAVES IN RANDOM AND COMPLEX MEDIA. - ISSN 1745-5030. - (2020), pp. 1-15. [10.1080/17455030.2020.1842554]

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

Behtouei M.;Faillace L.;Spataro B.;Migliorati M.
2020

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.
2020
accelerator applications; accelerator subsystems and technologies; linear accelerators; mathematical physics; Particle acceleration
01 Pubblicazione su rivista::01a Articolo in rivista
A novel exact analytical expression for the magnetic field of a solenoid / Behtouei, M.; Faillace, L.; Spataro, B.; Variola, A.; Migliorati, M.. - In: WAVES IN RANDOM AND COMPLEX MEDIA. - ISSN 1745-5030. - (2020), pp. 1-15. [10.1080/17455030.2020.1842554]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1461842
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