发表机构
University of Bath（巴斯大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文整理阐明了将卷积定理用于二维磁逆问题的关键数学细节，着重推导毕奥-萨伐尔定律卷积核傅里叶变换的闭式解，进而得到傅里叶变换后的电流密度，为从磁场数据重构电流密度提供了方法支撑。
AI 中文摘要
本文对将卷积定理应用于求解二维磁逆问题（即从磁场数据重构电流密度）的方法关键数学细节进行了整理与阐明，特别着重于获取毕奥-萨伐尔定律中卷积核的傅里叶变换的闭式解，完成此步骤后，通过卷积定理，以经傅里叶变换的磁场数据及其他变量为函数，得到了经傅里叶变换的电流密度。
英文摘要
A collection and clarification is given of the key mathematical details of the method of applying the convolution theorem as part of the solution to the two-dimensional magnetic inverse problem: reconstructing current density from magnetic field data. Particular emphasis is given to obtaining a closed-form solution for the Fourier transform of the convolution kernel that features in the Biot-Savart law. Having done this, the Fourier-transformed current density is obtained, via the convolution theorem, as a function of Fourier-transformed magnetic field data and other variables.
