2012 · 55 citations · 10 references
Natural SciencesElectrical EngineeringPhysicsComputational ElectromagneticsElectromagneticsElectromagnetismElectromagnetic MethodsMagnetic CharacterizationMagnetic Circuit AnalysisMaxwell's EquationsAnalytical Modeling Of Magnetic DevicesField HomogeneityFlux Distribution AnalysisMagnetic Field CalculationMagnetic Field DistributionMagnetic Field HomogeneityMagnetic Field InhomogeneityMagnetic Field Simulations
This paper presents an analysis of magnetic field homogeneity of square and circular Helmholtz coils pairs. The analysis is based on the Bio-Savart law for which it performs a Taylor series approximation for the magnetic field at a point on the axis of symmetry, finding an approximate expression of the homogeneity with respect to the parameter radius / length. Finally, a computational model is performed in COMSOL and comparing the magnetic field distribution for both geometries.
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