An analytic series solution for H-plane waveguide T-junction

Park, K.H.; Eom, N.J.

doi:10.1109/75.208564

Cited by 11 publications

(7 citation statements)

References 2 publications

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“…The former can be concluded by noting (2f) and (2h) and is valid for the X-junction, also. At the first look, this result is in contradiction with various works on the parallel-plate T-junction which confirm real power transfer between its different branches [35][36][37][38][39][40]. It is worth noting that there are two fundamental differences between those works and the present solution.…”

Section: Discussioncontrasting

confidence: 85%

Diffraction by a Parallel-Plate Multiport Using the Method of Kobayashi Potentials

Honarbakhsh¹

2023

Preprint

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Section: Discussioncontrasting

confidence: 85%

Diffraction by a Parallel-Plate Multiport Using the Method of Kobayashi Potentials

Honarbakhsh¹

2023

Preprint

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“…Obviously, the former can be concluded by noting to (2) and (3). This result may, also, seems to be in contradiction with various works on the parallel-plate T-junction which confirm real power transfer between its different branches [39][40][41][42][43]. It is worth noting that there are two fundamental differences between those works and the present solution.…”

Section: Discussioncontrasting

confidence: 74%

Diffraction by a Parallel-Plate T-Junction

Honarbakhsh¹

2022

Preprint

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<p>Application of the method of Kobayashi potentials (KP) is extended to the electromagnetic (EM) diffraction from the parallel-plate T-junction. Standard integral identities are used for problem formulation, without direct usage of Weber-Schafheitlin (WS) integrals. The Fourier function space is exploited for the construction of the governing linear equations. A simple strategy is suggested for the evaluation of the required improper integrals. Numerical results are validated through convergence analysis.</p>

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“…Moreover, the evaluation of the spatial part in the Ewald method Equation ( 9) is carried out with only an image layer (m ∈[−1, 1] and n ∈[−1, 1] in the sum of Equation 9), since considering more layers has not significantly improved the convergence in most of the numerical experiments performed in our tests. In this configuration, attending to the criteria presented in Equation (7), the splitting parameter has been set to E 00 = 1, 57. On the other hand, the original spectral domain Green's function expression Equation ( 4) exhibits a very slow convergent behaviour, as can also be observed in Figure 5 (red dashed line), since the relative error is still around 1% after the summation of more than 600 terms.…”

Section: Convergence Of 2d Rectangular Cavity Green's Functions Accel...mentioning

confidence: 99%

“…This kind of guided microwave components is commonly known as inductive or Hplane devices. In this regard, a wide set of practical H-plane circuits can be cited, such as microwave filters [2,3], power dividers [4], multiplexers [5], T-junctions [6,7], or waveguide bends [8]. The geometry of these components can usually be described as a number of different waveguide sections and cavities that are conveniently interconnected to obtain desired circuit responses [9].…”

Section: Introductionmentioning

confidence: 99%

Integral equation analysis of multiport H‐plane microwave circuits by using 2D rectangular cavity Green's functions accelerated by the Ewald Method

Pereira

Cruz

Molina³

et al. 2022

IET Microwaves Antenna & Prop

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An integral equation technique for the analysis of multiport H‐plane microwave circuits composed of an unlimited number of arbitrarily shaped metallic and/or dielectric elements is proposed. The structure under study is divided into different regions after the application of the surface equivalence principle. Following this approach, the access waveguide ports are modelled by means of parallel plate Green's functions, whereas the central region is characterised by 2D rectangular cavity Green's functions. The use of this kind of Green's functions represents a novelty for solving H‐plane integral equation problems. For the first time, the Ewald method has been employed in order to accelerate the computation of the 2D rectangular cavity Green's functions and their derivatives, needed in the integral equation. In addition, convergence studies show the numerical convenience of using the Ewald method to achieve a fast and accurate evaluation of these Green's functions. Results show that the analysis can be very efficient if the structure is segmented in a proper way based on fitting the cavity resonator within the geometry of the structure under analysis. In fact, all the walls of the structure that are coincident with the auxiliary resonator need not to be discretised during the numerical solution. Finally, several simulation examples of practical inductive microwave circuits are presented and discussed, showing a good agreement and higher computational efficiency when compared to results provided by commercial full‐wave software tools and measurements.

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An analytic series solution for H-plane waveguide T-junction

Cited by 11 publications

References 2 publications

Diffraction by a Parallel-Plate Multiport Using the Method of Kobayashi Potentials

Diffraction by a Parallel-Plate Multiport Using the Method of Kobayashi Potentials

Diffraction by a Parallel-Plate T-Junction

Integral equation analysis of multiport H‐plane microwave circuits by using 2D rectangular cavity Green's functions accelerated by the Ewald Method

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