FDTD analysis of modes in arbitrarily shaped waveguides

Lord, J.A.; Henderson, R.I.; Pirollo, B.P.

doi:10.1049/cp:19990055

Cited by 3 publications

(8 citation statements)

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“…Figure 4 shows the reflection coefficient produced by the 1D FDTD when only the single dominant mode TE 10 was excited in the rectangular waveguide. Figure 5 shows the reflection coefficient produced by the 1D FDTD while multi-modes of TE 10 It can be seen from Figures 4 and 5 that the proposed method provides almost perfect absorbing terminating conditions in the entire frequency spectrum including that near DC. In all the cases, the absorptions are better than À200 dB even at and below the cutoff frequencies.…”

Section: Numerical Validationmentioning

confidence: 99%

“…Parameter T was equal to 150Dt and t 0 to 600Dt; and f 0 was equal to the average of cutoff frequencies of modes TE 10 and TE 20 : The right-hand side was terminated by a long waveguide. The left-hand side was terminated by the hybrid-absorbing boundary that included the proposed 1D FDTD for absorption of the dominant TE 10 and a 16-layer CFS-PML [15] for absorption of the waves after TE 10 is extracted.…”

Section: Numerical Validationmentioning

confidence: 99%

“…The left-hand side was terminated by a hybrid-absorbing boundary that now included the 1D FDTD scheme for two modes, TE 10 and TE 11 and a 16-layer CFS-PML. The hybrid-absorbing boundary was 5Dz away from the nearest fins.…”

Section: Numerical Validationmentioning

confidence: 99%

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A compact one‐dimensional modal FDTD method

Luo

Chen

2007

Int J Numerical Modelling

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SUMMARYThe finite-difference time-domain (FDTD) method is an effective technique for computing wideband electrical parameters such as scattering parameters of waveguide structures. in the computations, a known incident is normally required and is usually obtained with a simulation of a long uniform structure. For a three-dimensional problem, simulation of a long structure can be very memory-and CPU time-intensive. In addition, effective absorbing boundary conditions are needed to effectively terminate the structure even at and below the cutoff frequencies. To address these issues, many one-dimensional FDTD methods and absorbing schemes were proposed. However, they all have dispersion characteristics different from those of the conventional FDTD method, leading to undesired errors or reflections. In this paper, a new onedimensional scheme is developed that has numerical dispersion characteristics very similar to that of the conventional FDTD method. When used as the absorbing boundary condition, it generates reflections of less than À200 dB even at and below the cutoff frequencies for the considered modes. When used to obtain the incident wave, its results have difference of less than À200 dB from that produced by the conventional FDTD method.

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Section: Numerical Validationmentioning

confidence: 99%

Section: Numerical Validationmentioning

confidence: 99%

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A compact one‐dimensional modal FDTD method

Luo

Chen

2007

Int J Numerical Modelling

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“…For a 3D structure, such a simulation is often inefficient because the simulation is executed in three dimensions and therefore requires large memory and CPU time. In order to solve the problems as well as to develop efficient absorbing boundary conditions, many 1D modal absorbing boundary conditions (modal ABCs) have been proposed [4][5][6][7][8][9][10][11][12][13][14]. Most of them use analytically or numerically generated Green's functions or impedance functions.…”

Section: Introductionmentioning

confidence: 99%

An Efficient Modal FDTD for Absorbing Boundary Conditions and Incident Wave Generator in Waveguide Structures

Luo¹,

Chen²

2007

PIER

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Abstract-When the finite-difference time-domain method is used to compute waveguide structures, incident waves are needed for calculating electrical parameters (e.g., the scattering parameters), and effective absorbing boundary conditions are required for terminating open waveguide structures. The incident waves are conventionally obtained with inefficient three-dimensional (3D) simulations of long uniform structures, while the absorbing boundary conditions reported so far do not perform well at or below cut-off frequencies. To address the problems, we propose a novel one-dimensional (1D) finitedifference time-domain method in this paper. Unlike the other methods developed so far, the proposed method is derived from the finite-difference time-domain formulation, and therefore has the same numerical characteristics as that of the finite-difference time-domain method. As a result, when used to obtain an incident wave, it produces results almost identical to those produced by the conventional finitedifference time-domain method except computer rounding-off errors. When used as the absorbing boundary condition, it produces reflections of less than −200 dB in entire frequency spectrum including the cut-off frequencies.

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“…For example, TE modes and TM modes of a square coaxial waveguides have been studied by the discrete Foureir transform [1]. [2] used the so called bootstrapping' method, was referred to by Ta®ove [3], to analyze two problems, one with and one without the discontinuity, and the elds in the problem without the discontinuity are used to`bootstrap' or excite the other problem. This method has been extended in [2] to excite arbitrary modes, and can also be run in reverse to act as a selective mode absorber.…”

Section: Introductionmentioning

confidence: 99%

The General Numerical Method of Analysis of Waveguides of Arbitrary Cross Section With Perfect Conducting Wall by FDTD and Its Applications

Yu¹

2003

Journal of Electromagnetic Waves and Applications

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Abstract|A general Method of numerical analysis of the propagation characteristic of waveguide with arbitrary cross section by FDTD is presented which is based on the mode-orthogonality and the hybrid source exciting scheme. It gives the cuto¬ frequency of any existing mode, the curves of its propagation constants and the eld space distribution of the mode in cross section of the waveguide. The Method is validated against a rectangular waveguide with a known electric space distributions of main mode and rst high order mode in the cross-section of the waveguide. Two new waveguides are studied followed the method. One is a pentagon waveguide and other is a waveguide with double ridges. Curves of propagation constants and the eld distribution of Ey on the cross-section of both waveguides are presented 1 Introduction

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FDTD analysis of modes in arbitrarily shaped waveguides

Cited by 3 publications

References 0 publications

A compact one‐dimensional modal FDTD method

A compact one‐dimensional modal FDTD method

An Efficient Modal FDTD for Absorbing Boundary Conditions and Incident Wave Generator in Waveguide Structures

The General Numerical Method of Analysis of Waveguides of Arbitrary Cross Section With Perfect Conducting Wall by FDTD and Its Applications

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