Comparison of two methods for magnetic field synthesis on a solenoid’s axis
 Marcin Ziolkowski
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Abstract
Magnetic field synthesis problems have been discussed at length in scientific literature but they still remain as a topic of research in electrical engineering, physics and medical applications. In these disciplines, there is often a need to design an electromagnetic arrangement which can generate a magnetic field of required distribution. Such an arrangement can also work as an active shield. The aim of an active shield is to generate a specified magnetic field which counteracts the external magnetic fields in a protected region. The idea of active shielding is to construct a suitable arrangement of coils, excited with currents that generate an opposite magnetic field sufficient to cancel out the unwanted external fields. The opposite field must have the same frequency and amplitude as the external field. If the incident field presents a wide bandwidth, the final aim is to generate an opposite field in the same frequency range or at least in a range as large as possible. Two independent methods of magnetic fields synthesis, i.e. iteratively regularized Gauss–Newton method and Genetic Algorithm coupled with Bezier curvesbased method, are discussed and compared in this paper.
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 Title
 Comparison of two methods for magnetic field synthesis on a solenoid’s axis
 Open Access
 Available under Open Access This content is freely available online to anyone, anywhere at any time.
 Journal

Electrical Engineering
Volume 93, Issue 4 , pp 227235
 Cover Date
 20111201
 DOI
 10.1007/s0020201102084
 Print ISSN
 09487921
 Online ISSN
 14320487
 Publisher
 SpringerVerlag
 Additional Links
 Topics
 Keywords

 Magnetic field synthesis
 Nonlinear inverse problems
 Iterative methods
 Genetic algorithms
 Active shields
 Industry Sectors
 Authors

 Marcin Ziolkowski ^{(1)}
 Author Affiliations

 1. Faculty of Electrical Engineering, West Pomeranian University of Technology, Sikorskiego 37, 70313, Szczecin, Poland