标题： 用于在均匀和非均匀头部幻影中无接触 SAR 评估的正则化边界元公式 显示英文标题

标题： A Regularized Boundary Element Formulation for Contactless SAR Evaluations within Homogeneous and Inhomogeneous Head Phantoms

摘要： 本工作提出了用于无接触电磁场评估的边界元方法（BEM）公式。 新方案基于正则化BEM方法，仅需使用电测量。 正则化是通过将Calderon技术扩展到矩形系统，从而得到与离散化密度无关的良态问题。 这使得可以使用高度离散化的Huygens表面，并且可以将其放置在辐射源非常接近的位置。 此外，新的正则化方案与基于表面均匀和体积非均匀正向BEM求解器相结合，并采用快速矩阵-向量乘法方案进行加速。 这允许快速有效的剂量评估，并允许使用非均匀和现实的人头模型。 数值结果验证了理论并确认了所有新提出的公式的实际有效性。 显示英文摘要

摘要： This work presents a Boundary Element Method (BEM) formulation for contactless electromagnetic field assessments. The new scheme is based on a regularized BEM approach that requires the use of electric measurements only. The regularization is obtained by leveraging on an extension of Calderon techniques to rectangular systems leading to well-conditioned problems independent of the discretization density. This enables the use of highly discretized Huygens surfaces that can be consequently placed very near to the radiating source. In addition, the new regularized scheme is hybridized with both surfacic homogeneous and volumetric inhomogeneous forward BEM solvers accelerated with fast matrix-vector multiplication schemes. This allows for rapid and effective dosimetric assessments and permits the use of inhomogeneous and realistic head phantoms. Numerical results corroborate the theory and confirms the practical effectiveness of all newly proposed formulations.