hsanchez_R.pdf (646.83 kB)
Download file

Minimax Current Density Extended to E-Gradient Coil Design

Download (646.83 kB)
posted on 2023-05-12, 15:10 authored by Hector Sanchez LopezHector Sanchez Lopez, Min Shen, Yifan Zhang, Luyao Wang, Jinglong Wu, Zhilin Zhang

 In this study, an alternative gradient coil design method was developed to control the peak electric field induced in human tissues, and the trade-off between coil performance and winding complexity versus electric field control was investigated. The infinity norm of a current density induced in a highly conductive domain placed around the region of interest was minimized by using convex optimization. A set of transverse asymmetric and symmetric longitudinal gradient coils for head imaging was designed by varying the degree of electric field control over a highly conductive domain equivalent to a human head and torso. The coil performance, minimum gradient threshold stimulation, and electric field in a human model were used to assess the degree of electric field control versus coil performance. Transverse gradient coils with peak electric field control exhibited smaller concomitant fields than those without electric field control. The concomitant field remained unchanged for longitudinal gradient coils with electric field control. An overall reduction of 30% in the peak electric field in the human model was achieved by a transverse gradient coil, and a longitudinal coil achieved 18% reduction, while maintaining control over the winding complexity and coil performance. This study demonstrated the successful application of the minimax current density concept to control the peak electric fields in a human model induced by transverse and longitudinal head gradient coils. 


This work was supported by Chinese Academy of Sciences President’s International Fellowship Initiative. Grant No. 2023VEB0001


Email Address of Submitting Author

ORCID of Submitting Author


Submitting Author's Institution

Shenzhen Institute of Advanced Technology, Chinese Academy of Sciences, Shenzhen, Guangdong, China

Submitting Author's Country

  • Australia