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An extended Huygens' principle for modelling scattering from general discontinuities within hollow waveguides
Author(s) -
Ferrari Ronald L.
Publication year - 2001
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/jnm.421
Subject(s) - classification of discontinuities , huygens–fresnel principle , scattering , modal , electromagnetic field , physics , mathematical analysis , electromagnetism , waveguide , integral equation , field (mathematics) , modal analysis , optics , mathematics , calculus (dental) , finite element method , quantum mechanics , pure mathematics , chemistry , polymer chemistry , medicine , dentistry , thermodynamics
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.