Abstract
We specify the corresponding relationships between eigenmodes, natural modes, and characteristic modes of perfectly electric conducting (PEC) bodies. The internal resonant frequencies, external resonant frequencies, current distributions, and radiation patterns of the three kinds of modes are compared to identify the relationships. Firstly, we review the definitions of the three kinds of modes and discuss their characteristics of the electromagnetic power. After that, we illustrate the relationships between these modes with three typical structures, that is, the infinite circular cylinder, sphere, and rectangular plate.
Highlights
The fields radiated or scattered by perfectly electric conducting (PEC) bodies can be analyzed using modal analysis methods
The three modal analysis methods result in three different kinds of modes generally, that is, eigenmodes, natural modes, and characteristic modes, respectively
We found that the natural modes of arbitrary PEC bodies are related to electromagnetic power resonances
Summary
The fields radiated or scattered by perfectly electric conducting (PEC) bodies can be analyzed using modal analysis methods. We use the Poynting’s theorem in complex frequency domain [10] to specify the characteristics of electromagnetic power of natural modes for arbitrary PEC bodies for the first time. (10) indicates that eigenmodes do not hold the electromagnetic power orthogonality in general This makes it different from characteristic modes. We use the Poynting’s theorem in complex frequency domain [10] to specify the characteristics of the electromagnetic power of natural modes of arbitrary PEC bodies, to our best knowledge, for the first time. Notice that when the characteristic mode is external resonant, it does not generally satisfy the source-free condition This is quite different with natural modes.
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