A mathematical discussion is introduced to describe the receiver coil characterizing a nuclear magnetic resonance for imaging, starting from a general shape of the conductor. A set of different inductance calculations have been introduced, varying the shape of the conductor. The inductance calculation led to a general expression of the magnetic field of a single coil characterized by a rectangular shape. A dynamic model of the receiver coil has been developed to represent the natural frequencies that characterize the operational bandwidth. A nonstationary control strategy is implemented to make a real time changing of the operational bandwidth. The frequency response of the coil generates the necessary conditional expression to let the peak of resonance move to a desired value of frequency.

引入数学讨论来描述接收器线圈，该接收器线圈从导体的一般形状开始表征用于成像的核磁共振。引入了一组不同的电感计算，从而改变了导体的形状。电感计算导致以矩形为特征的单个线圈的磁场的一般表达。已经开发出了接收器线圈的动态模型，以表示表征工作带宽的固有频率。实施了非平稳控制策略以实时更改操作带宽。线圈的频率响应会生成必要的条件表达式，以使共振峰移至所需的频率值。