<scp>Performance</scp> enhanced absorbing boundary condition for electromagnetic modelling and simulation

Wu, Shihong; Sun, Yumei; Chi, Mingmei; Chen, Xiangguang

doi:10.1002/jnm.2760

Cited by 3 publications

(3 citation statements)

References 25 publications

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“…In geophysical problems, dielectric lossy medium is one of the most important media 27–29 . The Maxwell's equations in the PML regions for terminating lossy media in can be given as follows

j {ωε}_{0} boldE goodbreak+ σ boldE goodbreak= \nabla_{s} goodbreak\times boldH

goodbreak- j {ωμ}_{0} boldH goodbreak= \nabla_{s} goodbreak\times boldE

According to the BOR‐FDTD algorithm, as three‐dimensional problems can be converted to two‐dimensions, the operator

\nabla_{s}

can be given as

\nabla_{s} goodbreak= \overset{ρ}{true} \frac{1}{S_{ρ}} \frac{\partial}{\partial ρ} goodbreak+ \overset{ϕ}{true} \frac{1}{S_{ϕ}} \frac{\partial}{\partial ϕ} goodbreak+ \overset{z}{true} \frac{1}{S_{z}} \frac{\partial}{\partial z}

The Maxwell's equations in such condition can be given as the following expressions

j {ωε}_{0} E_{r} goodbreak+ σ E_{r} goodbreak= goodbreak- \frac{1}{S_{z}} \frac{\partial H_{ϕ}}{\partial z}

j {ωε}_{0} E_{z} goodbreak+ σ E_{z} goodbreak= \frac{1}{S_{r}} \frac{\partial H_{ϕ}}{\partial r} goodbreak+ \frac{H_{ϕ}}{\overset{true˜}{r}}

goodbreak- j {ωμ}_{0} H_{ϕ} goodbreak= \frac{1}{S_{z}} \frac{\partial E_{r}}{\partial z} goodbreak- \frac{1}{S_{r}} \frac{\partial E_{z}}{\partial r}

where

…”

Section: Theoretical Approachmentioning

confidence: 99%

Implicit approximate decoupling procedure withCrank–Nicolsonscheme for bandpass symmetric rotationally geophysical problems

Dong

Liu

et al. 2021

Int J RF Mic Comp-Aid Eng

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To efficient simulate symmetric rotationally geophysical problems, implicit Crank–Nicolson (CN) scheme incorporated with approximate decoupling procedure is proposed in the body of revolution (BOR) finite‐difference time‐domain (FDTD) algorithm. For further absorption of large number of low‐frequency waves in bandpass simulation, complex envelope method is incorporated with the perfectly matched layer implementation. To be more specific, the proposed implementation shows advantages in terms of improved efficiency, considerable accuracy, and remarkable absorption. To demonstrate effectiveness and efficiency of the proposed implementation, geophysical numerical examples are carried out in the BOR‐FDTD domain. Through different numerical examples, it can be concluded from simulation results that the proposed implementation can obtain admirable entire performance in bandpass geophysical simulation. In addition, it can also be illustrated that it can keep stable when time step surpasses far beyond the Courant–Friedrichs‐ Levy condition.

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“…In geophysical problems, dielectric lossy medium is one of the most important media 27–29 . The Maxwell's equations in the PML regions for terminating lossy media in can be given as follows

j {ωε}_{0} boldE goodbreak+ σ boldE goodbreak= \nabla_{s} goodbreak\times boldH

goodbreak- j {ωμ}_{0} boldH goodbreak= \nabla_{s} goodbreak\times boldE

According to the BOR‐FDTD algorithm, as three‐dimensional problems can be converted to two‐dimensions, the operator

\nabla_{s}

can be given as

\nabla_{s} goodbreak= \overset{ρ}{true} \frac{1}{S_{ρ}} \frac{\partial}{\partial ρ} goodbreak+ \overset{ϕ}{true} \frac{1}{S_{ϕ}} \frac{\partial}{\partial ϕ} goodbreak+ \overset{z}{true} \frac{1}{S_{z}} \frac{\partial}{\partial z}

The Maxwell's equations in such condition can be given as the following expressions

j {ωε}_{0} E_{r} goodbreak+ σ E_{r} goodbreak= goodbreak- \frac{1}{S_{z}} \frac{\partial H_{ϕ}}{\partial z}

j {ωε}_{0} E_{z} goodbreak+ σ E_{z} goodbreak= \frac{1}{S_{r}} \frac{\partial H_{ϕ}}{\partial r} goodbreak+ \frac{H_{ϕ}}{\overset{true˜}{r}}

goodbreak- j {ωμ}_{0} H_{ϕ} goodbreak= \frac{1}{S_{z}} \frac{\partial E_{r}}{\partial z} goodbreak- \frac{1}{S_{r}} \frac{\partial E_{z}}{\partial r}

where

…”

Section: Theoretical Approachmentioning

confidence: 99%

Implicit approximate decoupling procedure withCrank–Nicolsonscheme for bandpass symmetric rotationally geophysical problems

Dong

Liu

et al. 2021

Int J RF Mic Comp-Aid Eng

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“…The four auxiliary variables higher or-der PML scheme is introduced to improve the efficiency and absorption. The higher order PML schemes are mainly based on the CFS-PML formulation [37][38][39][40]. The CFS-PML formulation is a media dependent formulation whose complexity increases with the existence of multi-media.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Scattering Characteristics Based on Crank-Nicolson Direct-Splitting Algorithm for Remote Sensing Problems

Gao,

Jiang,

Fan

et al. 2024

IEEE Open J. Antennas Propag.

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In remote sensing problems, broadband scattering investigation becomes increasingly important than ever before. The scattering characteristic changes significantly with the variation of range. Thus, the conventional evaluation method becomes invalid in many situations. Meanwhile, an efficient method for the simulation of electromagnetic wave propagation in electrically large remote sensing problem is also an urgently demanding. In order to alleviate such problems, an alternative Crank-Nicolson Direct-Splitting algorithm is proposed in open regions. To infinite extension of the computational domain, convolutional perfectly match layer with higher order formulation is proposed not only to further enhance the absorption at low-frequency band but also to decrease the reflections during the entire time domain simulation. Efficient method is proposed for scattering characteristics evaluation which ranges from near-field to far-field. Radar remote sensing Problems including ground penetrating radar and early warning radar are introduced to demonstrate the effectiveness of the algorithm. Through the results, it can be concluded that the proposed algorithm shows considerable performance in the simulation of remote sensing problems.

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“…The modified higher-order schemes are carried out with four auxiliary variables to improve the entire performance [38][39][40]. Recently, an unconditionally stable higher-order CPML scheme is proposed to further simplify the implementation [40,41].…”

Section: Introductionmentioning

confidence: 99%

Unconditionally Stable System Incorporated Factorization-Splitting Algorithm for Blackout Re-Entry Vehicle

Wen

Wang²,

2023

Electronics

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A high-temperature plasma sheath is generated on the surface of the re-entry vehicle through the conversion of kinetic energy to thermal and chemical energy across a strong shock wave at the hypersonic speed. Such a condition results in the forming of a blackout which significantly affects the communication components. To analyze the re-entry vehicle at the hypersonic speed, an unconditionally stable system incorporated factorization-splitting (SIFS) algorithm is proposed in finite-difference time-domain (FDTD) grids. The proposed algorithm shows advantages in the entire performance by simplifying the update implementation in multi-scale problems. The plasma sheath is analyzed based on the modified auxiliary difference equation (ADE) method according to the integer time step scheme in the unconditionally stable algorithm. Higher order perfectly matched layer (PML) formulation is modified to simulate open region problems. Numerical examples are carried out to demonstrate the performance of the algorithm from the aspects of target characteristics and antenna model. From resultants, it can be concluded that the proposed algorithm shows considerable accuracy, efficiency, and absorption during the simulation. Meanwhile, plasma sheath significantly affects the communication and detection of the re-entry vehicle.

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Performance enhanced absorbing boundary condition for electromagnetic modelling and simulation

Cited by 3 publications

References 25 publications

Implicit approximate decoupling procedure withCrank–Nicolsonscheme for bandpass symmetric rotationally geophysical problems

Implicit approximate decoupling procedure withCrank–Nicolsonscheme for bandpass symmetric rotationally geophysical problems

Analysis of Scattering Characteristics Based on Crank-Nicolson Direct-Splitting Algorithm for Remote Sensing Problems

Unconditionally Stable System Incorporated Factorization-Splitting Algorithm for Blackout Re-Entry Vehicle

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