Modal basis method in radiation problems

被引：13

作者：

Tretyakov, O ^{[1
]}

Dumin, A ^{[1
]}

Dumina, O ^{[1
]}

Katrich, V ^{[1
]}

机构：

[1] VN Karazin Kharkiv Natl Univ, UA-61077 Kharkov, Ukraine

来源：

10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL METHODS IN ELECTROMAGNETIC THEORY, CONFERENCE PROCEEDINGS | 2004年

关键词：

D O I：

10.1109/MMET.2004.1397022

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

To solve radiation problems in time domain directly the modal representation of transient electromagnetic fields is considered. Using evolutionary approach the initial nonstationary three-dimensional electrodynamic problem is transformed into the problem for one-dimensional evolutionary equations. The modal basis for electromagnetic fields with arbitrary time dependence in spherical coordinate system is constructed. After elimination of the radial components of electrical and magnetic field from Maxwell equation system the four-dimensional differential operators are formed. It is proved that the operators are self-adjoint ones. The eigen-functions of the operators form the basis. The completeness of the basis is proved by means of Weyl Theorem about orthogonal splitting of Hilbert space. The expansion coefficients of transient electromagnetic field are found from the set of evolutionary equations.

引用

页码：312 / 314

页数：3