Investigation of the Early Time Resonance Region Scattering Problem.
Abstract
In addition to the pole series in the singularity expansion of a scatterer's response a 'possible entire function' contribution has been customarily included although considerable uncertainty surrounds the role of this reponse component. Entire functions are frequently found in the responses of circuits where they represent forced components. The results of this investigation indicate that in certain extreme system configurations, like circuits, the forced response to a time-limited excitation is an entire function. In certain less extreme configurations, like most scatterers, the forced response takes the form of a 'quasi-entire function' which is composed of highly-damped pole contributions. We demonstrate that true entire functions themselves can be represented by infinite pole series whose poles have become infinitely-damped. For many scatterers two groups of poles can be distinguished: the dominant poles and the highly-damped poles whose contributions comprise a quasi-entire function. The numerically-derived quasi-entire function components of a conducting sphere-capped cylinder and a conducting loop are determined by subtracting the dominant pole series from the total responses of these scatterers.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1986
- Accession Number
- ADA171475
Entities
People
- J. R. Auton
- M. L. Vanblaricum