Sensitivity analysis for active electromagnetic field manipulation in free space

• Published in: Applied mathematics in science and engineering Vol. 30; no. 1; pp. 661 - 687
• Main Authors: Qi, Chaoxian, Egarguin, Neil Jerome A., Zeng, Shubin, Onofrei, Daniel, Chen, Jiefu
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis Ltd 31.12.2022; Taylor & Francis Group
• Subjects: Active control; active em field control; Current sources; debye potentials; Electromagnetic fields; Integral equations; Inverse problems; inverse source problem; Mathematical models; maxwell's equations; Regularization; Representations; Sensitivity analysis; Singular value decomposition
• ISSN: 2769-0911; 2769-0911
• DOI: 10.1080/27690911.2022.2118270

This paper presents a detailed sensitivity analysis of the active manipulation scheme for electromagnetic (EM) fields in free space. The active EM fields control strategy is designed to construct surface current sources (electric and/or magnetic) that can manipulate the EM fields in prescribed exterior regions. The active EM field control is formulated as an inverse source problem. We follow the numerical strategies in our previous works, which employ the Debye potential representation and integral equation representation in the forward modelling. We consider two regularization approaches to the inverse problem to approximate a current source, namely the truncated singular value decomposition (TSVD) and the Tikhonov regularization with the Morozov discrepancy principle. Moreover, we discuss the sensitivity of the active scheme (concerning power budget, control accuracy, and quality factor) as a function of the frequency, the distance between the control region and the source, the mutual distance between the control regions, and the size of the control region. The numerical simulations demonstrate some challenges and limitations of the active EM field control scheme.