This paper examines different models for calculating the magnetic field of solenoids. Accuracy and computation time are compared for a range of different simplified models: a current loop and a thin shell solenoid, and solenoids with finite length and thickness. There is no definitive answer to “what model is the best”, as it depends on the specific use case, but there are certain models that excel in speed or accuracy, and there are models that have very limited use. This paper serves as an overview and will help the reader make an informed choice of a model.

P. Granum, M. L. Madsen, J. T. K. McKenna, D. L. Hodgkinson, J. Fajans