2020/02/21 by Behtouei, Mostafa, Faillace, Luigi, Spataro, Bruno +2
#Accelerator Physics (physics.acc-ph) #FOS: Physical sciences
paper · doi:10.48550/arxiv.2002.09444
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.