High-Order Symplectic Compact Finite-Different Time-Domain Algorithm for Guide-Wave Structures

Kuang, Xiaojing; Huang, Zhixiang; Chen, Ming Sheng; Wu, Xianliang

doi:10.1109/lmwc.2019.2891109

Cited by 5 publications

(5 citation statements)

References 10 publications

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“…By the dispersion equation ( 20), the numerical global phase error  is depended on several factors, such as the normalized propagation constant (κ = β / β0), the courant number (ν = t  max / t  ) and the resolution factor (R = λT / h). For the influence of the above factors on the global phase error  , we have made a detailed study of the comprehensive comparisons of global phase errors between the proposed algorithm SC-FDTD(4, 4) and other algorithms in reference [28]. One can find that the global phase error of SC-FDTD(4, 4) algorithm is far below that of the other methods at the same accuracy condition.…”

Section: Numerical Dispersion Analysismentioning

confidence: 99%

“…Thirdly, the novel scheme optimization of the various key technologies which contain numerical stability, numerical dispersion, and absorption boundary conditions are researched. Especially, different from the multi-image technique used in the timedomain multi-resolution algorithm is adopted on the metal 2 > Manuscript ID PJ-012545-2021 < truncation boundary, when solving the eigenvalue problem of metal resonator [28]. The split-field can be used to construct the higher-order PML absorption boundary conditions, when dealing with eigenvalue problems of complex dielectric resonators and photonic crystals.…”

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confidence: 99%

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A Novel High-Order Symplectic Compact FDTD Schemes for Optical Waveguide Simulation

et al. 2022

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As a 2-D full-wave numerical algorithm in the time domain, the compact Finite Difference Time Domain ( FDTD ) is an efficient algorithm for eigenvalue analysis of optical waveguide system. However, the numerical dispersion accuracy and stability of fast algorithm need to be improved while simulating at high frequency. A novel high-order symplectic compact FDTD scheme is developed and validated for optical waveguide modal analysis. The stability condition and the numerical dispersion of schemes with fourth-order accuracy in temporal and spatial using the symplectic integrator and compact scheme are analyzed. By comparisons with other time-domain schemes, their stable and accurate performance is qualitatively verified. The proposed high-order SC-FDTD method can be used for efficiently simulating electrically large and longitudinally invariant optical devices since the reduction of simulation dimensionality and the novel high-order symplectic algorithm can greatly reduce the memory cost and the numerical dispersive errors.

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Section: Numerical Dispersion Analysismentioning

confidence: 99%

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confidence: 99%

A Novel High-Order Symplectic Compact FDTD Schemes for Optical Waveguide Simulation

et al. 2022

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“…Tang et al [19] have presented a more effective method to construct high-order symplectic integrators for solving second order Hamiltonian equations. Kuang et al [20] have proposed a new high-order symplectic compact finite-difference time-domain (FDTD) method in order to reduce the numerical dispersion error. He and Li [21] have obtained a sufficient and necessary condition for the existence of symplectic critical surfaces in two-dimensional complex space forms.…”

Section: Introductionmentioning

confidence: 99%

The Three Dimension First-Order Symplectic Partitioned Runge-Kutta Scheme Simulation for GPR Wave Propagation in Pavement Structure

et al. 2019

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Numerical simulation of three-layer layered electromagnetic waves is key problem for nondestructive testing of ground penetrating radar (GPR) pavement. In this paper, the difference iterative scheme of three-dimensional first-order symplectic partitioned Rung-Kutta is derived, which is applied to pavement detection of ground penetrating radar by using Higdon ABC boundary condition. Incident waves are considered as line sources. The accuracy and efficiency of the proposed algorithm are verified by the traditional 3D-FDTD algorithm. The results indicate that the accuracy and efficiency between the two methods are consistent. Unlike the traditional 3D-FDTD algorithm, the CPU time of the proposed method is reduced by 30%. The diseases location of the pavement structure is directly reflected by the numerical simulation result of the proposed method. This provides a three-dimensional symplectic partitioned Rung-Kutta algorithm, which can be applied to the forward simulation of GPR. It provides a threedimensional symplectic partitioned Rung-Kutta algorithm, which can be applied to the forward simulation of GPR. The accurate electromagnetic response information of the target can be obtained by the proposed method.INDEX TERMS Ground penetrating radar (GPR), symplectic partitioned runge-kutta method, pavement structure, higdon ABC.

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“…In [16], a cubicorder subparametric finite element technique is utilized to compute the eigenvalues of arbitrarily shaped waveguide structure. In [17], the authors used a high order symplectic compact finite-difference time-domain algorithm to analyze the dispersion and resonant frequency of the waveguide. The modal-expansion method, due to its good accuracy and effectiveness, is commonly used to analyze waveguides [18]- [20] and antennas [21], [22].…”

Section: Introductionmentioning

confidence: 99%

Modal Expansion Analysis of T-Shaped Waveguide

Zhao

Zhan

2019

IEEE Access

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The T-shaped waveguide (T-waveguide for short) is a new kind of wideband waveguide which is easier to fabricate than conventional wideband waveguides. This paper presents the modal expansion analysis of the T-waveguide. The T-waveguide is first divided into four rectangular domains. The electromagnetic fields in each domain are expressed by suitable mode functions. The continuity of tangential electromagnetic fields along the interface of neighboring regions is enforced by the Galerkin's matching process and a matrix equation is thus derived. The cutoff wavenumbers of the T-waveguide are then found from the matrix. The results are in good agreement with those obtained by CST Microwave Studio. The proposed method provides fast calculation of the T-waveguide cutoff wavenumber, which is of guiding significance to the design of T-waveguide.

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High-Order Symplectic Compact Finite-Different Time-Domain Algorithm for Guide-Wave Structures

Cited by 5 publications

References 10 publications

A Novel High-Order Symplectic Compact FDTD Schemes for Optical Waveguide Simulation

A Novel High-Order Symplectic Compact FDTD Schemes for Optical Waveguide Simulation

The Three Dimension First-Order Symplectic Partitioned Runge-Kutta Scheme Simulation for GPR Wave Propagation in Pavement Structure

Modal Expansion Analysis of T-Shaped Waveguide

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