ArticleMagnetic resonance in medicine2022
Systematic Dimensional Analysis of the Scaling Relationship for Gradient and Shim Coil Design Parameters.
Article in Magnetic resonance in medicine, 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.
- Engineering clinical translation of OGSE diffusion MRI.Magnetic resonance in medicine · 2025Review
- Review
- Feasibility of brain intra-axonal microstructure imaging with ultrahigh B-encoding using MAGNUS ultra-high-performance gradients.Imaging neuroscience (Cambridge, Mass.) · 2025Article
- Theory and mitigation of motional eddy current in high-field eddy current shielding.Journal of applied physics · 2024Article
- Human prostate MRI at ultrahigh-performance gradient: A feasibility study.Magnetic resonance in medicine · 2024Article
- Evaluation of a compact 3 T MRI scanner for patients with implanted devices.Magnetic resonance imaging · 2023Article
- Generalized magnetostatic target field method for shielded magnetic field coils in a separable coordinate system.Journal of applied physics · 2023Article
- Calibration of concomitant field offsets using phase contrast MRI for asymmetric gradient coils.Magnetic resonance in medicine · 2023Article
Corrections and comments
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Authors and funding
2 authors.
Funding
Abstract
purposeTo demonstrate systematic, linear algebra-based, dimensional analysis to derive a scaling relationship among the design parameters of MRI gradient and harmonic shim coils. THEORY AND
methodsThe dimensions of five physical quantities relevant for gradient coil design (inductance, gradient amplitude, inner diameter [
resultsOnly when the unit of turns was included did the linear algebra-based analysis uniquely produce the known scaling relationship that gradient inductance is proportional to gradient efficiency squared times
conclusionSystematic application of linear algebra-based dimensional analysis can provide new insight in gradient and shim coil design by revealing fundamental scaling relations and helping to guide the design and comparison of coils with different diameters.
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