The canonical problem of designing the complex excitations feeding an array such to ensure a desired field intensity distribution inside a given region of interest, while keeping it under control in some other regions, is addressed. To this end, an auxiliary physics inspired model for the induced total field is proposed, whose off-line analysis allows a simplified approach to understand the convenient and non-convenient field interferences between canonical solutions for the induced total field, that are zero order Bessel functions. Moreover, its analysis drastically reduces the computational burden associated to the multi-control points based approaches. The problem at hand plays a key role in many different applications, including radio communications, wireless power transfer as well as hyperthermia treatment planning, and in this paper attention is paid to radiofrequency shimming in magnetic resonance imaging. In fact, the proposed model and tools are tailored to the challenging case of leveling of the magnetic field intensity within an MRI scanner and in case of a bidimensional realistic head phantom.

中文翻译：

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复杂环境中场振幅整形的简单辅助模型及其在 MRI 匀场中的应用

解决了设计馈送阵列的复杂激发的典型问题，以确保在给定的感兴趣区域内获得所需的场强分布，同时在其他一些区域中保持其处于控制之下。为此，提出了一种受物理启发的感应总场辅助模型，其离线分析允许一种简化的方法来理解感应总场的规范解之间的方便和非方便场干扰，即零阶贝塞尔功能。此外，它的分析大大减少了与基于多控制点的方法。手头的问题在许多不同的应用中起着关键作用，包括无线电通信、无线电力传输以及热疗治疗计划，本文重点关注磁共振成像中的射频匀场。事实上，所提出的模型和工具是针对 MRI 扫描仪内磁场强度调平的具有挑战性的情况以及二维真实头部模型的情况量身定制的。