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Efficient higher‐order discretization of the magnetic field integral equation by means of vector spaces with a solenoidal‐no solenoidal decomposition
Author(s) -
Gil José M.,
CondePumpido Fernando
Publication year - 2020
Publication title -
microwave and optical technology letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.304
H-Index - 76
eISSN - 1098-2760
pISSN - 0895-2477
DOI - 10.1002/mop.32299
Subject(s) - solenoidal vector field , discretization , mathematics , basis function , integral equation , electric field integral equation , curl (programming language) , mathematical analysis , vector potential , magnetic field , linear subspace , vector field , convergence (economics) , basis (linear algebra) , physics , geometry , computer science , quantum mechanics , programming language , economics , economic growth
In this work, we apply curl and divergence conforming basis functions to the discretization of the magnetic field integral equation. The bases are hierarchical of any order, for 3D curved surfaces. The convergence of the method is tested for high and low‐order basis functions by using some canonical examples. This approach, because of the splitting subspaces, allows a better modeling of the component star of the current at very low frequencies. Improvements for the calculation of far field, made by using this formulation at the low frequency regime, are finally shown. Presented results lead to a better performance of the combined fields integral equation (CFIE) when the suggested higher‐order bases are applied.