Mode-matching analysis of the step discontinuity in elliptical waveguides

Matras, P.; Bunger, R.; Arndt, F.

doi:10.1109/75.481094

Cited by 31 publications

(6 citation statements)

References 10 publications

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“…The above step-discontinuity problem has not appeared in the literature so far; recently, the step discontinuity between two confocal elliptical waveguides has been considered in [7].…”

Section: A Theorymentioning

confidence: 98%

“…In the following, we will refer to a fairly standard scattering formulation of the step discontinuity between two waveguides with different cross sections, as given in [6, eq. (2)- (7)]. In the latter formulation, the transverse components of the electromagnetic field at both sides of the discontinuity are expressed as a modal sum of incident and reflected waves.…”

Section: A Theorymentioning

confidence: 99%

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Elliptical cavity resonators for dual-mode narrow-band filters

Accatino

Bertin

Mongiardo

1997

IEEE Trans. Microwave Theory Techn.

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A novel cavity resonator with elliptical cross section is proposed in order to realize dual-mode narrow-band filters without tuning and coupling elements. The absence of any discontinuity inside the cavities significantly enhances the unloaded Q, the ability to operate with higher power levels, and the ease of manufacturing. Proper choice of the ellipticity and of the inclination angle controls the desired coupling and tuning actions. Dual-mode coupling is generated by the step discontinuity between the input rectangular waveguide and an inclined elliptical waveguide. A rigorous full-wave electromagnetic model for this discontinuity has been developed and validated using a specialized hardware configuration. Experimental data compare very favorably with theoretical results. Representative prototypes of elliptical cavities exhibiting various degrees of coupling have been carefully measured proving the accuracy of the model and its applicability for narrow-band X-and Ku-band filter design. The full-wave analysis of a complete four-pole narrow-band elliptic filter at 12 GHz and the measured response of a corresponding prototype demonstrate the capability of achieving reliable results using the proposed approach.

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“…The above step-discontinuity problem has not appeared in the literature so far; recently, the step discontinuity between two confocal elliptical waveguides has been considered in [7].…”

Section: A Theorymentioning

confidence: 98%

Section: A Theorymentioning

confidence: 99%

Elliptical cavity resonators for dual-mode narrow-band filters

Accatino

Bertin

Mongiardo

1997

IEEE Trans. Microwave Theory Techn.

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“…Therefore, a proper transition, wherein a waveguide of certain shape is transformed into another waveguide of different shape, is essential to manage low loss and good matching at the discontinuity. There exist some modal techniques in literature (MacPhie & Wu, 1995;Matras et al, 1996) to compensate for signal degradation at the junctions of the waveguides, namely to achieve high electrical performance in the waveguide-to-waveguide transitions.…”

Section: Introductionmentioning

confidence: 99%

Form-Invariance of Maxwell's Equations in Waveguide Cross-Section Transformations

Özgün

Kuzuoğlu

2009

Electromagnetics

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We present a novel coordinate transformation technique that controls the propagation of waves inside a waveguide, such that the waveguide behaves as if it is a "reshaped" waveguide. In this technique, the spatial domain of the waveguide is mapped to that of its reshaped equivalent, yielding an anisotropic medium inside the waveguide. In other words, the waveguide in the transformed space can be imagined as if it is filled with an anisotropic metamaterial whose spatially varying constitutive parameters reflect the effect of the coordinate transformation on the field quantities. In this anisotropic metamaterial, Maxwell's equations are still satisfied due to their form-invariance property under coordinate transformations. The most appealing feature of the proposed method is that it renders a waveguide to support electromagnetic wave propagation below the cutoff frequency; thus, it can be utilized in waveguide miniaturization. However, this technique is more general, and it can transform a waveguide into another waveguide having an arbitrary miniaturized (or "maxiaturized") shape without changing its propagation characteristics. Thus, the proposed method can be employed for the elimination of discontinuities in abrupt waveguide-to-waveguide transitions. We report numerical results for finite element simulations of various waveguides.

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“…A special example of deformed cross section is the elliptical waveguide, that has been rather extensively analyzed in the literature and applied to filter design [5], [6] or corrugated horns [2], [3]. Although the rigorous analysis of the elliptical waveguide can be carried out using Mathieu functions, in this work we consider it as a boundary perturbation of the circular waveguide, because for small eccentricity, perturbative formulas offer several advantages, such as simplicity of computation and speed.…”

Section: Introductionmentioning

confidence: 99%