Optimization procedure for high homogeneity field systems design

Abstract

Two different approaches for homogeneous electrical field generation are presented in this paper. For this generation a primary cell which consists of toroidal electrodes is used. Potential distribution along the system axis is expanded into Taylor and Chebyshev series in the first approach. System dimensions are chosen by setting corresponding terms to zero value so that only linear term remains. In the second approach the synthesis of systems with axial potential linear distribution is performed. Optimization of the electrodes parameters was carried out using gradient method. A deviation of electric field intensity is used as a criterion of the level of obtained homogeneity.

Optmization of coils for field map synthesis

“…Typical examples are the coil systems used for the shimming of Magnetic Resonance Imaging apparatus (MRI) [1][2][3][4], or the magnets used for beam accelerators [5] or Thermonuclear Fusion Devices [6], while other examples are in [7][8][9].…”