Validity of the measured equation of invariance

Author

Xu, Yun-Sheng ; Chen, Hong-Ming

Author_Institution

Dept. of Electron. Eng. & Inf. Sci., Univ. of Sci. & Technol. of China, Hefei, China

Volume

47

Issue

12

fYear

1999

fDate

12/1/1999 12:00:00 AM

Firstpage

1814

Lastpage

1819

Abstract

The measured equation of invariance (MEI) is derived without any postulates. It is shown that the coefficients of the MEI are invariant to the field of excitation. However, the accuracy of the MEI solution is closely related to the number of nodes in the MEI. Coupling more nodes improves progressively the accuracy of the MEI solution. With increasing nodes, the matrix problem for the determination of the MEI coefficients becomes seriously ill conditioned and generally must be solved using multiple precision arithmetic. The consequences of the ill-conditioning phenomenon are discussed

Keywords

conducting bodies; electromagnetic wave scattering; finite difference methods; matrix algebra; EM wave scattering; FD-MEI matrix equation; MEI coefficients; MEI solution; accuracy; coefficients; excitation field; finite difference; ill conditioned matrix; matrix problem; measured equation of invariance; multiple precision arithmetic; nodes; perfectly conducting circular cylinders; scattering problems; Arithmetic; Computer errors; Electromagnetic measurements; Electromagnetic scattering; Engine cylinders; Equations; Finite difference methods; Finite element methods; Helium; Information science;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/8.817657

Filename

817657