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. Author manuscript; available in PMC: 2017 Jan 1.
Published in final edited form as: IEEE Trans Biomed Eng. 2016 Mar 4;64(1):70–77. doi: 10.1109/TBME.2016.2538279

TABLE III.

Analysis of Model approximations

Approximation Resulting model approximation error Estimation of Error Quantity Parametric Uncertainty B1 Simulation Error Estimation Method Error in B1 Simulation
Idealized Birdcage Coil Transmit B1 inhomogeneity Maximum transmit field variation in 2 x 4.5 cm slice (from BS B1+ maps) 14.9% (±3.6 μT) Simulations at ±3.6 μT: Error = deviation of peak B1 value 11.5%
Lumped Element Approximation of Coil and Cable Losses Additional mismatch, dissipative and sample loading losses Maximum deviation in impedance bench measurements at 5 different positions 6.3% (±2.1 Ω) Simulations with lumped element losses R1+ R2 ± Max error: Error = deviation of peak B1 value 2.3%
Planar Coil Approximation Variation in coil impedance Analytically – (πd-2d)/(2L+2πd) 1.7% ΔB1 ∝ ΔIind & vprop; ΔZcoil 1.7%
Net Maximum error 15.5%