Mathematical Tools to Define SAR Margins for Phased Array Coil In-Vivo Applications Given E-field Uncertainties

In high field MRI, a phased array coil comprising a large number of transmit elements appears more attractive with regard to local SAR reduction and to RF inhomogeneity mitigation. However, the linear combination of electric fields errors makes the total SAR error much more complex to estimate. Here, we propose mathematical tools and hypotheses to estimate the standard deviation of the SAR produced by multiple transmit elements, knowing the standard deviation of the error on the electrical field produced by each element. Thanks to these tools, the best margins can be applied to the final SAR, to ensure the safety of the patient in in-vivo experiments, without overconservative measures.

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