ArticleIEEE transactions on antennas and propagation2022
Novel Numerical Basis Sets for Electromagnetic Field Expansion in Arbitrary Inhomogeneous Objects.
Article in IEEE transactions on antennas and propagation, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 8 papers.
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Who cites it
8 citing papers in PubMed.
- An Open-Source Software Toolbox for Rapid Radiofrequency Coil Design and Evaluation in MRI.Magnetic resonance in medicine · 2026Article
- Ultimate Intrinsic SNR in the Torso of Realistic Body Models.Magnetic resonance in medicine · 2026Article
- Global Maxwell Tomography Using the Volume-Surface Integral Equation for Improved Estimation of Electrical Properties.IEEE transactions on bio-medical engineering · 2025Article
- An Optimization Framework for the Design of Radiofrequency Coils for Magnetic Resonance Imaging.bioRxiv : the preprint server for biology · 2025Article
- RF coil design strategies for improving SNR at the ultrahigh magnetic field of 10.5T.Magnetic resonance in medicine · 2025Article
- Performance of receive head arrays versus ultimate intrinsic SNR at 7 T and 10.5 T.Magnetic resonance in medicine · 2024Article
- Computational methods for the estimation of ideal current patterns in realistic human models.Magnetic resonance in medicine · 2024Article
- PIFON-EPT: MR-Based Electrical Property Tomography Using Physics-Informed Fourier Networks.IEEE journal on multiscale and multiphysics computational techniques · 2024Article
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Authors and funding
4 authors.
Funding
Abstract
We investigated how to construct low-order subspace basis sets to accurately represent electromagnetic fields generated within inhomogeneous arbitrary objects by radio-frequency sources external to a Huygen's surface. The basis generation relies on the singular value decomposition of Green's functions integro-differential operators which makes it feasible to derive a reduced-order yet stable model. We present a detailed study of the theoretical and numerical requisites for generating such basis, and show how it can be used to calculate performance limits in magnetic resonance imaging applications. Finally, we propose a novel numerical framework for the computation of characteristic modes of arbitrary inhomogeneous objects. We validated accuracy and convergence properties of the numerical basis against a complete analytical basis in the case of a uniform spherical object. We showed that the discretization of the Huygens's surface has a minimal effect on the accuracy of the calculations, which mainly depended on the electromagnetic solver resolution and order of approximation.
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