Eigenvalue problem and Kennaugh´s optimal polarization for the asymmetric scattering matrix case

Author

Shi-Ming Lin

Author_Institution

Northwestern Polytech. Univ., Shaanxi, China

fYear

1990

fDate

7-11 May 1990

Firstpage

562

Abstract

The theory of eigenvalues is developed for the asymmetric scattering matrix. The basic properties of eigenvalues are studied. A method is proposed for finding the eigenvalues of such a matrix. It can be proved that the maximum of the magnitude of the eigenvalue is smaller than the maximum of the singular value for the asymmetric scattering matrix. It is shown that the matrix can be diagonalized in two different ways. It is shown that E.M. Kennaugh´s (1952) optimal polarization will involve the singular value problem of the asymmetric scattering matrix. On the basis of the spectral theory of matrices, Kennaugh´s optimal polarization for radar reflection can be found easily.<>

Keywords

S-matrix theory; eigenvalues and eigenfunctions; electromagnetic wave polarisation; electromagnetic wave scattering; radar theory; Kennaugh´s optimal polarization; asymmetric scattering matrix; eigenvalues; radar reflection; radar theory; singular value; spectral theory; Artificial intelligence; Computer aided software engineering; Eigenvalues and eigenfunctions; Erbium; Polarization; Scattering; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Antennas and Propagation Society International Symposium, 1990. AP-S. Merging Technologies for the 90's. Digest.

Conference_Location

Dallas, TX, USA

Type

conf

DOI

10.1109/APS.1990.115172

Filename

115172