Mathematical Physics


Surface Formulations of the Electromagnetic-Power-based Characteristic Mode Theory for Material Bodies — Part II

Authors: Renzun Lian

Both the previous Part I and this Part II focus on the linear electromagnetic system constructed by a Single Homogeneous Material body (SHM), and the SHM can be electric and/or magnetic. The studies for the system constructed by Multiple Homogeneous Material bodies (MHM) will be finished in Part III. It is indispensable for the Surface formulations of the ElectroMagnetic-Power-based SHM Characteristic Mode Theory (Surf-SHM-EMP-CMT) to relate the surface equivalent electric and magnetic currents, and a boundary condition based method for establishing the relation has been provided in the Part I. In this Part II, some further studies for the boundary condition based method are done (such as the revelation for physical essence, the numerical analysis, and the improvement), and a new conservation law based method is given. As a supplement to the Part I, some new surface formulations for the output power of a SHM are developed in this Part II, and then some new surface formulations for constructing the Output power Characteristic Mode (OutCM) set and some new variational formulations for the scattering problem of a SHM are established. In addition, the power relation contained in the PMCHWT formulation for a SHM is analyzed. Then, it is clearly revealed that the physical essence of the PMCHWT formulation for the SHM scattering problem is the conservation law of energy; the power character of the CM set derived from the PMCHWT-based CMT is not always identical to the OutCM set derived from the Surf-SHM-EMP-CMT; the PMCHWT-based CMT can be viewed as a special case of the object-oriented EMP-CMT.

Comments: 13 Pages.

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Submission history

[v1] 2016-12-27 04:22:39

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