Mathematical Physics


Electromagnetic-Power-based Modal Classification, Modal Expansion, and Modal Decomposition for Perfect Electric Conductors

Authors: Renzun Lian

Traditionally, all working modes of a perfect electric conductor are classified into resonant modes, inductive modes, and capacitive modes, and the resonant modes are further classified into internal resonant modes and external resonant modes. In this paper, the resonant modes are alternatively classified into intrinsically resonant modes and non-intrinsically resonant modes, and the intrinsically resonant modes are further classified into non-radiative intrinsically resonant modes and radiative intrinsically resonant modes. Based on the modal expansion corresponding to this new modal classification, an alternative modal decomposition method is proposed. In addition, it is also proved that: all intrinsically resonant modes and all non-radiative intrinsically resonant modes constitute linear spaces respectively, but all resonant modes and all radiative intrinsically resonant modes cannot constitute spaces respectively.

Comments: 5 Pages.

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Submission history

[v1] 2018-02-15 07:40:11

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