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Resonances of Characteristic Modes for Perfectly Conducting Objects
- Source :
- IEEE Transactions on Antennas and Propagation. 65:5332-5339
- Publication Year :
- 2017
- Publisher :
- Institute of Electrical and Electronics Engineers (IEEE), 2017.
-
Abstract
- Resonances, i.e., extrema of the eigenvalues of characteristic modes for closed perfectly conducting objects are investigated. The characteristic modal solutions based on the electric, magnetic, and combined field integral operators (EFIO, MFIO, and CFIO) are studied and compared with analytical solutions for a sphere. All these formulations are found to capture both external (radiating) and internal (cavity) resonances predicted by the analytical expressions. At the internal resonances, the eigenvalues obtained with the EFIO- and MFIO-based approaches are not correct, and the corresponding modes are nonunique. These solutions also exhibit a strong duality between the electric (TM) and magnetic (TE) type modes. A connection is found between the external and internal resonances and the condition numbers of the matrices. The modal expansion of the CFIO-based solution is correct, even though it also experiences the nonuniqueness of the EFIO- and MFIO-based solutions.
- Subjects :
- perfect electric conductor
Field (physics)
010103 numerical & computational mathematics
02 engineering and technology
Type (model theory)
01 natural sciences
Magnetic resonance imaging
internal resonance
0202 electrical engineering, electronic engineering, information engineering
Strong duality
0101 mathematics
Electrical and Electronic Engineering
Electric field integral operator
Integral equations
Cavity resonators
Eigenvalues and eigenvectors
Mathematics
Resonant frequency
Eigenvalues and eigenfunctions
ta114
Mathematical analysis
magnetic field integral operator
020206 networking & telecommunications
theory of characteristic modes
Integral equation
Connection (mathematics)
Maxima and minima
Antennas
Perfect conductor
external resonance
Subjects
Details
- ISSN :
- 15582221 and 0018926X
- Volume :
- 65
- Database :
- OpenAIRE
- Journal :
- IEEE Transactions on Antennas and Propagation
- Accession number :
- edsair.doi.dedup.....02210b245e3b1e2ff0ff69b4b82050eb