An extended Huygens' principle for modelling scattering from general discontinuities within hollow waveguides
✍ Scribed by Ronald L. Ferrari
- Publisher
- John Wiley and Sons
- Year
- 2001
- Tongue
- English
- Weight
- 209 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0894-3370
- DOI
- 10.1002/jnm.421
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
The modal fields, generalized scattering matrix (GSM) theory and dyadic Green's functions relating to a general uniform hollow waveguide are briefly reviewed in a mutually consistent normalization. By means of an analysis linking these three concepts, an extended version of the mathematical expression of Huygens' principle is derived, applying to scattering from an arbitrary object within a hollow waveguide. The integral‐equation result expresses the total field in terms of the incident waveguide modal fields, the dyadic Green's functions and the tangential electromagnetic field on the surface of the object. It is shown how the extended principle may be applied in turn to perfect conductor, uniform material and inhomogeneous material objects using a quasi method of moments (MM) approach, coupled in the last case with the finite element method. The work reported, which indicates how the GSM of the object may be recovered, is entirely theoretical but displays a close similarity with established MM procedures. Copyright © 2001 John Wiley & Sons, Ltd.