Sensitivity analysis for active electromagnetic field manipulation in free space

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 exter...

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Published inApplied 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
LanguageEnglish
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
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Abstract 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.
AbstractList 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.
Author Chen, Jiefu
Egarguin, Neil Jerome A.
Qi, Chaoxian
Zeng, Shubin
Onofrei, Daniel
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Snippet This paper presents a detailed sensitivity analysis of the active manipulation scheme for electromagnetic (EM) fields in free space. The active EM fields...
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SubjectTerms 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
Title Sensitivity analysis for active electromagnetic field manipulation in free space
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