Symmetry and degeneracy of characteristic modes for conducting bodies
Loading...
Authors
Knorr, Jeffrey B.
Subjects
Advisors
Date of Issue
1972-06
Date
1972-06
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
The notion of symmetry groups is introduced and the representation of such groups is discussed. It is shown that the operator for the eigencurrents on a conducting body is invariant under the group of symmetry operations of the structure. The eigencurrents are shown to provide bases for the irreducible representations of the symmetry group. It is further proven that expansion of the current in terms of functions belonging to the irreducible representations of the symmetry group of the structure leads to block diagonalization of the matrix representations of the operator. Basis functions for bodies of revolution are discussed. Finally, perturbations are considered and it is argued that symmetry determines exactly the splitting of any degenerate resonances of the unperturbed conducting body. (Author)
Type
Technical Report
Description
Series/Report No
Department
Identifiers
NPS Report Number
NPS-52KO72061A
Sponsors
Office of Naval Research, Arlington, Virginia
Funder
Format
Citation
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.