Implementation of Absorbing Boundary Conditions Based on the Second-Order One-Way Wave Equation in the LOD- and the ADI-FDTD Methods

Pereda, José Antonio Martín; Serroukh, Abdelaziz; Grande, A.; Vegas, Α.

doi:10.1109/lawp.2012.2212411

Cited by 5 publications

(3 citation statements)

References 12 publications

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“…The cell size was ∆ x = ∆ y = ∆ = 0.15 mm and the spatial resolution was N λ = λ g /∆ = 205.77, with λ g being the wavelength in the waveguide at the central frequency f 0 . The ports of the waveguide were terminated by second-order one-way waveequation ABCs based on the Higdon operator [12].…”

Section: Numerical Resultsmentioning

confidence: 99%

Accuracy Limitations of the Locally One-Dimensional FDTD Technique

Grande

Pereda

2014

Antennas Wirel. Propag. Lett.

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While the alternating-direction implicit finitedifference time-domain (ADI-FDTD) method preserves the second-order temporal accuracy of the conventional FDTD technique, the locally one-dimensional (LOD)-FDTD method exhibits a first-order in time splitting error. Despite this difference, the numerical dispersion analyses of these methods reveal that both present similar accuracy properties. For this reason, the characteristic non-commutativity error of the LOD-FDTD scheme has not received much attention. In this work, we determine the closed form of the local truncation error for the 3D-LOD-FDTD scheme. We find that it presents error terms which depend on the time-step size multiplied by the spatial derivatives of the fields. Numerical results confirm that these terms become a significant source of error which is not revealed in the dispersion analyses.

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Section: Numerical Resultsmentioning

confidence: 99%

Accuracy Limitations of the Locally One-Dimensional FDTD Technique

Grande

Pereda

2014

Antennas Wirel. Propag. Lett.

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“…The penetration depth in the empty RW is mm, with being the attenuation constant. The size of the spatial cell was mm and mm Both RW ports have been terminated by secondorder absorbing boundary conditions located far enough from the discontinuity [10]. Fig.…”

Section: Numerical Examplesmentioning

confidence: 99%

On the Behavior of the LOD-FDTD Method at Dielectric Interfaces

Pereda

Grande

2018

IEEE Microw. Wireless Compon. Lett.

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The electric field computed by the locally one dimensional finitedifference timedomain (LODFDTD) method at dielectric interfaces is investigated. To this end, two compre hensive problems are considered, namely a dielectric step in a rectangular waveguide and a dielectricloaded metallic cavity. We found that, in both problems, the electric field patterns exhibit an unexpected phase shift at the dielectric interface. By contrast, the alternatingdirection implicit (ADI)FDTD method does not present this unphysical behavior.

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“…The numerical dispersion increases with the increment of sub-step equations [15]. Meanwhile, memory consumption also increases in the sub-step procedure [16]. Such a condition leads to a decrement in efficiency and accuracy.…”

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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Implementation of Absorbing Boundary Conditions Based on the Second-Order One-Way Wave Equation in the LOD- and the ADI-FDTD Methods

Cited by 5 publications

References 12 publications

Accuracy Limitations of the Locally One-Dimensional FDTD Technique

Accuracy Limitations of the Locally One-Dimensional FDTD Technique

On the Behavior of the LOD-FDTD Method at Dielectric Interfaces

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

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