Applications of a Three-Dimensional FDTD Method With Weakly Conditional Stability to the Analysis of Microstrip Filters With Fine Scale Structures

Lan, Jing; Yang, Yang; Dai, Jing Yi

doi:10.2528/pierl11082213

Cited by 3 publications

(3 citation statements)

References 16 publications

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“…Based on the update process, the electric field can be computed by a coefficient tridiagonal matrix. Mur absorbing boundary is applied to truncate the simulation space 21 . Different from the perfect‐electric‐conductor condition implementation, the absorption coefficients are added to the first and last rows of the tridiagonal matrix.

([], \begin{array}{l} 1 & C_{mur} ((), 1) \\ italicCa ((), 1) & italicCb ((), 1) & italicCc ((), 1) \\ italicCa ((), 2) & italicCb ((), 2) & italicCc ((), 2) \\ italicCa ((), 3) & italicCb ((), 3) & italicCc ((), 3) \\ ⋱ & ⋱ & ⋱ \\ italicCa ((), N_{y} goodbreak- 1) & italicCb ((), N_{y} goodbreak- 1) & italicCc ((), N_{y} goodbreak- 1) \\ C_{mur} ((), 2) & 1 \end{array}) ([], \begin{array}{l} E_{x}^{n + 1} ((), 1) \\ E_{x}^{n + 1} ((), 2) \\ E_{x}^{n + 1} ((), 3) \\ E_{x}^{n + 1} ((), 4) \\ ⋮ \\ E_{x}^{n + 1} ((), N_{y}) \\ E_{x}^{n + 1} ((), N_{y} goodbreak+ 1) \end{array}) goodbreak= ([], \begin{array}{l} r_{x}^{n} ((), 1) \\ r_{x}^{n} ((), 2) \\ r_{x}^{n} ((), 3) \\ r_{x}^{n} ((), 4) \\ ⋮ \\ r_{x}^{n} ((), N_{y}) \\ r_{x}^{n} ((), N_{y} goodbreak+ 1) \end{array}),

where,

italicCa ((), i)

…”

Section: Methods and Analysismentioning

confidence: 99%

See 1 more Smart Citation

Study of scattering characteristic of thin ice‐water layers covered dielectric material utilizing hybrid implicit‐explicit finite difference time‐domain method

Yan

Cao

Wang

2021

Int J Numerical Modelling

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In the paper, a hybrid implicit-explicit finite difference time-domain (HIE-FDTD) method is applied, and the related calculation formula of the HIE algorithm is derived in detail. Using the HIE-FDTD method, the scattering characteristics of dielectric objects covered with very thin ice water layers are studied.The dispersive medium model of the mixture of water and ice is expressed in Debye form and can be calculated by the auxiliary difference equation technique. It is found that the change of the scattering characteristics of the water ice mixing layer mainly depends on the proportion of water in the ice water mixture, and describes the process of ice melting into water, which leads to the corresponding changes of reflectivity, transmittance, and absorptivity. Finally, the simulation results show that the HIE-FDTD method has higher efficiency than the conventional FDTD without losing accuracy.

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([], \begin{array}{l} 1 & C_{mur} ((), 1) \\ italicCa ((), 1) & italicCb ((), 1) & italicCc ((), 1) \\ italicCa ((), 2) & italicCb ((), 2) & italicCc ((), 2) \\ italicCa ((), 3) & italicCb ((), 3) & italicCc ((), 3) \\ ⋱ & ⋱ & ⋱ \\ italicCa ((), N_{y} goodbreak- 1) & italicCb ((), N_{y} goodbreak- 1) & italicCc ((), N_{y} goodbreak- 1) \\ C_{mur} ((), 2) & 1 \end{array}) ([], \begin{array}{l} E_{x}^{n + 1} ((), 1) \\ E_{x}^{n + 1} ((), 2) \\ E_{x}^{n + 1} ((), 3) \\ E_{x}^{n + 1} ((), 4) \\ ⋮ \\ E_{x}^{n + 1} ((), N_{y}) \\ E_{x}^{n + 1} ((), N_{y} goodbreak+ 1) \end{array}) goodbreak= ([], \begin{array}{l} r_{x}^{n} ((), 1) \\ r_{x}^{n} ((), 2) \\ r_{x}^{n} ((), 3) \\ r_{x}^{n} ((), 4) \\ ⋮ \\ r_{x}^{n} ((), N_{y}) \\ r_{x}^{n} ((), N_{y} goodbreak+ 1) \end{array}),

where,

italicCa ((), i)

…”

Section: Methods and Analysismentioning

confidence: 99%

“…Mur absorbing boundary is applied to truncate the simulation space. 21 Different from the perfect-electric-conductor condition implementation, the absorption coefficients are added to the first and last rows of the tridiagonal matrix.…”

Section: Basic Formulationmentioning

confidence: 99%

Study of scattering characteristic of thin ice‐water layers covered dielectric material utilizing hybrid implicit‐explicit finite difference time‐domain method

Yan

Cao

Wang

2021

Int J Numerical Modelling

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“…Voltages and currents induced at the terminal of the circuit by coupling of electromagnetic waves are obtained from the solution of the field quantities directly. With its advantages of simple algorithm and readily broadband analysis ability, the FDTD method is a good candidate among all the full-wave approaches [14][15][16][17]. FDTD method has been widely used to analyze interconnect structures especially in the solution of planar microwave circuits in the last two decades [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic Susceptibility Model of Discontinuous Microstrip Circuits Under Plane Wave Illumination

Li¹,

Li²,

Sun³

et al. 2012

PIER M

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The electromagnetic susceptibility model of discontinuous microstrip circuits with the presence of a uniform plane incident wave is established. First, the analytical expressions are modeled as equivalent voltage and current sources for discussing the global effect of the incident plane wave on the associated interconnects. Then, these field-induced equivalent source expressions are incorporated into ADS circuit solver, and a fast model is established for analyzing the output responses of discontinuous microstrip circuits, such as the cross bend, the band-rejection filter and the single-stage amplifier. The corresponding simulation results from the proposed model are validated by comparing the results from both simulation and measurement. The results also show that the incident plane wave may influence the output terminal responses significantly, and the proposed approach would be an efficient method to solve the electromagnetic susceptibility problems associated with the discontinuous microstrip circuits.

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Influence of fabric weave type on the effectiveness of electromagnetic shielding woven fabric

Liu

Wang

2012

Journal of Electromagnetic Waves and Applications

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Applications of a Three-Dimensional FDTD Method With Weakly Conditional Stability to the Analysis of Microstrip Filters With Fine Scale Structures

Cited by 3 publications

References 16 publications

Study of scattering characteristic of thin ice‐water layers covered dielectric material utilizing hybrid implicit‐explicit finite difference time‐domain method

Study of scattering characteristic of thin ice‐water layers covered dielectric material utilizing hybrid implicit‐explicit finite difference time‐domain method

Electromagnetic Susceptibility Model of Discontinuous Microstrip Circuits Under Plane Wave Illumination

Influence of fabric weave type on the effectiveness of electromagnetic shielding woven fabric

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