Eigenfunctions of Hermitian Iterated Operators with Application to Discrete and Continuous Radiating Systems
Abstract
In this report we study some properties and applications of Hermitian operators formed by the iteration of any given operator with its adjoint. Such a given operator might arise in array and aperture antenna theory and, as shown in examples, the eigenfunctions of the corresponding Hermitian iterated operator can be used to maximize power transferred from an array to a point, or from one aperture to a second aperture. Constraints, such as a normed power source radiating into a specified sector of space, may be incorporated into the theory as well, as illustrated by an example. The eigencurrents and fields of Hermitian iterated operators associated with perfectly conducting bodies are introduced and contrasted with the characteristic currents and fields of Garbacz, Harrington, and Mautz.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1981
- Accession Number
- ADA100591
Entities
People
- Naoki Inagaki
- Robert J. Garbacz
Organizations
- Ohio State University