This paper presents a novel numerical approach to simulate H-plane rectangular-waveguide microwave circuits considering a reduced quasi-2D simulation domain with benefits for computational cost and time. With the aim ...
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This paper presents a novel numerical approach to simulate H-plane rectangular-waveguide microwave circuits considering a reduced quasi-2D simulation domain with benefits for computational cost and time. With the aim to evaluate the attenuation of the full height 3D component, we propose a modified expression for the waveguide top/bottom wall conductivity. Numerical 2D simulations are validated against results from full wave 3-D commercial electromagnetic simulator. After a benchmark on a simple straight waveguide model, the method has been successfully applied to an asymmetric un-balanced power splitter, where an accurate power loss prediction is mandatory. Simulation time and memory consumption can be reduced by a factor ten and seven respectively, in comparison with complete 3D geometries. Finally, we show that, also for quasi-2D E-bend waveguide, a case where the translational H-plane symmetry is broken, the error on conductor losses computation is mitigated by our approach since the method remains still valid in a first approximation.
Design data are given for multisection double-plane step transformers between X- (8.2-12.4 GHz), Ku- (12.4.-18 GHz), K- (18-26.5 GHz), and Ka- (26.5-40 GHz) band waveguides. The calculations, based on a field expansio...
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Design data are given for multisection double-plane step transformers between X- (8.2-12.4 GHz), Ku- (12.4.-18 GHz), K- (18-26.5 GHz), and Ka- (26.5-40 GHz) band waveguides. The calculations, based on a field expansion into orthogonal eigenmodes, take into account the influence of higher order modes. For frequency ranges other than the bands given, simple scaling formulas based on the optimized data yield transformer designs with sufficiently low VSWR. Optimum short transformers are possible if the total transformer length is included within the error function to be optimized. Measurements agree with theory.
Electromagnetic wave propagation through grooved waveguides is studied using the finite element method (FEM). The effect of grooves of irregular shape on TE10, TE20 mode frequencies and passband is studied. The variat...
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Electromagnetic wave propagation through grooved waveguides is studied using the finite element method (FEM). The effect of grooves of irregular shape on TE10, TE20 mode frequencies and passband is studied. The variation in cutoff frequencies for TE10, TE20 mode and passband is observed.
A closed-form approach to compute the attenuation of electromagnetic waves propagating in lossy circular and rectangular waveguides is presented. A set of characteristic equations, which describes the behavior of the ...
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A closed-form approach to compute the attenuation of electromagnetic waves propagating in lossy circular and rectangular waveguides is presented. A set of characteristic equations, which describes the behavior of the waves, is first derived by matching the tangential fields at the boundary with the electrical properties of the wall material. Perturbation terms are then introduced into the equations to represent fields' penetration into the lossy wall. The closed-form expressions of the perturbation terms are derived using the finite difference method. The propagation constant is subsequently obtained by incorporating the perturbation terms into the dispersion relation. Good agreement was found between the results of the authors and those from the rigorous equations. Unlike the rigorous transcendental approaches, which may require laborious effort in solving them, the solutions of our closed-form equations can be easily found;while, at the same time, they give reasonably accurate results.
We solve the problem of electrodynamic analysis and synthesis of bandpass filters based on rectangular waveguides with complex L-shaped ridges. Cutoff wave numbers and components of the electromagnetic field were calc...
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We solve the problem of electrodynamic analysis and synthesis of bandpass filters based on rectangular waveguides with complex L-shaped ridges. Cutoff wave numbers and components of the electromagnetic field were calculated by the partial region method with allowance for the singularity of the electromagnetic field on metal ribs. As a prototype, the model of a cutoff filter and an approximation of its amplitude-frequency characteristic by the Chebyshev polynomials were used. Examples of synthesis of narrow-band filters with inputs based on a rectangular waveguide and an H-waveguide are presented. Advantages of using a novel waveguide with a complex cross section in the filter are considered, including the appearance of a total reflection frequency (antiresonance) in the filter rejection band, which allows one to significantly extend this band and increase the attenuation level in it.
In this paper, a new algorithm for the fast and precise computation of Green's function for the 2-D Poisson equation in rectangular waveguides is presented. For this purpose, Green's function is written in ter...
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In this paper, a new algorithm for the fast and precise computation of Green's function for the 2-D Poisson equation in rectangular waveguides is presented. For this purpose, Green's function is written in terms of Jacobian elliptic functions involving complex arguments. A new algorithm for the fast and accurate evaluation of such Green's function is detailed. The main benefit of this algorithm is successfully shown within the frame of the Boundary Integral Resonant Mode Expansion method, where a substantial reduction of the computational effort related to the evaluation of the cited Green's function is obtained.
Symmetrical Y-junctions in rectangular waveguides are commonly used components in microwave subsystems. The authors describe an alternative multimode equivalent network representation for this junction in terms of mul...
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Symmetrical Y-junctions in rectangular waveguides are commonly used components in microwave subsystems. The authors describe an alternative multimode equivalent network representation for this junction in terms of multimode admittance coupling matrices. The elements of the admittance coupling matrix are obtained as a summation of geometrical coefficients which are independent from either the frequency or the specific waveguide dimensions so that they need to be evaluated only once. The general formulations are described together with the detailed derivation for the E- and H-plane cases. Finally, comparisons between the authors' simulations and both measured and theoretical data are presented, fully validating the networks derived.
A rigorous approach combining the orthogonal expansion method for modeling cylindrical posts in rectangular waveguides and the extension of the three short plane technique is introduced to obtain the S-matrix for a ge...
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A rigorous approach combining the orthogonal expansion method for modeling cylindrical posts in rectangular waveguides and the extension of the three short plane technique is introduced to obtain the S-matrix for a general coaxial probe in a rectangular waveguide. A cascading procedure is applied to solve the problem of a probe near a waveguide discontinuity and to obtain the response of a probe-excited band pass filter. The computed results are in excellent agreement with the measured results showing the usefulness of this method.
The problem of propagation in a waveguide containing E-plane slabs of dielectric was considered previously by several authors. However, their treatment was limited to the TE/sub mo/ modes. A more general and complete ...
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The problem of propagation in a waveguide containing E-plane slabs of dielectric was considered previously by several authors. However, their treatment was limited to the TE/sub mo/ modes. A more general and complete derivation of the dispersion equations for all the modes existing in these structures is presented here. It is shown, on the basis of theoretical and experimental results, that the frequency bandwidth is much smaller than the values previously obtained, considering only the TE/sub mo/ modes, for many cases of practical interest
The symmetrically truncated right angle E-plane corner is investigated as a function of the position of the truncation plane. The problem is treated by placing electric and magnetic walls in the plane of symmetry of t...
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The symmetrically truncated right angle E-plane corner is investigated as a function of the position of the truncation plane. The problem is treated by placing electric and magnetic walls in the plane of symmetry of the bend and solving the resulting boundary value problems assuming an incident TEM mode in parallel-plate waveguide. The results are directly applicable to the same type of corner in rectangular waveguide. In analyzing the problem an infinite set of first order differential equations arise which are appropriately truncated and solved on an electronic computer by means of a fourth order Runge-Kutta scheme.
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