Operator theory for solving the eigenvalue problem of electromagnetic field

Author

Xiaoyu, Ren ; Jifu, Ma ; Liyang, Zhang ; Song Wenmiao

Author_Institution

Inst. of Electron., Acad. Sinica, Beijing, China

fYear

1997

fDate

2-5 Dec 1997

Firstpage

769

Abstract

The boundary value problems of electromagnetic fields have been studied intensively but cannot be considered completely solved. In this paper, we explore the solution to the eigenvalue problem of electromagnetic field based on the vector partial differential operator theory. By means of this method, the problem can be separated into two eigenvalue problems of scalar field, which are the projection on the vector wave space. So an exact and accurate analytical or numerical solution to such problems is developed. This method can also be applied for other boundary value problems of electromagnetic fields

Keywords

boundary-value problems; eigenvalues and eigenfunctions; electromagnetic field theory; BVP; boundary value problem; eigenvalue problem; electromagnetic field; operator theory; scalar field; vector partial differential operator theory; vector wave space; Boundary conditions; Boundary value problems; Differential equations; Eigenvalues and eigenfunctions; Electromagnetic fields; Mathematics; Maxwell equations; Partial differential equations; Physics; Wave functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Microwave Conference Proceedings, 1997. APMC '97, 1997 Asia-Pacific

Print_ISBN

962-442-117-X

Type

conf

DOI

10.1109/APMC.1997.654655

Filename

654655