ArticleMagnetic resonance in medicine2018
An analytic expression for the ultimate intrinsic SNR in a uniform sphere.
Article in Magnetic resonance in medicine, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 16 papers.
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Who cites it
16 citing papers in PubMed.
- Design of an 8-Channel Transmit 32-Channel Receive 11.7T Head Coil and Evaluation of SNR Gains.Magnetic resonance in medicine · 2026Article
- Ultimate Intrinsic SNR in the Torso of Realistic Body Models.Magnetic resonance in medicine · 2026Article
- An Optimization Framework for the Design of Radiofrequency Coils for Magnetic Resonance Imaging.bioRxiv : the preprint server for biology · 2025Article
- A 128-channel receive array with enhanced signal-to-noise ratio performance for 10.5T brain imaging.Magnetic resonance in medicine · 2025Article
- RF coil design strategies for improving SNR at the ultrahigh magnetic field of 10.5T.Magnetic resonance in medicine · 2025Article
- A Quantitative Comparison ofSensors (Basel, Switzerland) · 2024Article
- Performance of receive head arrays versus ultimate intrinsic SNR at 7 T and 10.5 T.Magnetic resonance in medicine · 2024Article
- A theoretical framework to investigate the effect of high permittivity materials in MRI using anatomy-mimicking cylinders.Magnetic resonance in medicine · 2024Article
- Comparison of tight-fitting 7T parallel-transmit head array designs using excitation uniformity and local specific absorption rate metrics.Magnetic resonance in medicine · 2024Article
- A 128-channel receive array for cortical brain imaging at 7 T.Magnetic resonance in medicine · 2023Article
- Magnetic field strength dependent SNR gain at the center of a spherical phantom and up to 11.7T.Magnetic resonance in medicine · 2022Article
- A Physical Framework to Interpret the Effects of High Permittivity Materials on Radiofrequency Coil Performance in Magnetic Resonance Imaging.IEEE transactions on bio-medical engineering · 2022Article
- Novel Numerical Basis Sets for Electromagnetic Field Expansion in Arbitrary Inhomogeneous Objects.IEEE transactions on antennas and propagation · 2022Article
- Scattering from Spheres: A New Look into an Old Problem.Electronics · 2021Article
- A formalism to investigate the optimal transmit efficiency in radiofrequency shimming.NMR in biomedicine · 2020Article
- Disentangling the effects of high permittivity materials on signal optimization and sample noise reduction via ideal current patterns.Magnetic resonance in medicine · 2019Article
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3 authors.
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Abstract
purposeThe ultimate intrinsic signal-to-noise ratio (UISNR) is normally calculated using electrodynamic simulations with a complete basis of modes. Here, we provide an exact solution for the UISNR at the center of a dielectric sphere and assess how accurately this solution approximates UISNR away from the center.
methodsWe performed a mode analysis to determine which modes contribute to central UISNR - ζ(r→0). We then derived an analytic expression to calculate ζ(r→0) and analyzed its dependence on main magnetic field strength, sample geometry, and electrical properties. We validated the proposed solution against an established method based on dyadic Green's function simulations.
resultsOnly one divergence-free mode contributes to ζ(r→0). The UISNR given by the exact solution matched the full simulation results for various parameter settings, whereas calculation speed was approximately 1000 times faster. We showed that the analytic expression can approximate the UISNR with <5% error at positions as much as 10-20% of the radius away from the center.
conclusionThe proposed formula enables rapid and direct calculation of UISNR in the central region of a sphere. The resulting UISNR value may be used, for example, as an absolute reference to assess the performance of head coils with spherical phantoms.
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