Abstract
AbstractMethods of field and network theory are jointly applied to the problem of transverse aperture‐type discontinuities in cascade under the conditions of multimodal excitation and interaction. A space Fourier transformation (modal analysis) translates the field problem into a network problem, whereby discontinuities take the significance of Hilbert‐ports à la Zemanian. When a discontinuity is considered as enclosed by an ideal cavity, representing energy storage in the ‘localized’ modes, Foster's form of the reactance matrix of the discontinuity is recovered. The relationship with the variational method in computing the resonance matrix of the ‘accessible’ modes is illustrated. Green's function of cascaded apertures is obtained by finite network analysis. A few examples of thick interacting inductive irises in cascade are numerically investigated. Results show very good agreement with experiment.
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