One‐step leapfrog alternating direction implicit procedure for left‐handed material in open region problems with enhanced absorption

2021 ◽  
Author(s):  
Shihong Wu ◽  
Feng Su ◽  
Lining Liu ◽  
Yunyun Dong ◽  
Xiangguang Chen
Keyword(s):  
Alternating Direction Implicit ◽  
Enhanced Absorption ◽  
Left Handed ◽  
Alternating Direction ◽  
Open Region ◽  
One Step

One-step alternating direction implicit FDTD algorithm

2004 ◽  
Vol 13 (11) ◽  
pp. 1892-1895 ◽  
Author(s):  
Liu Shao-Bin ◽  
Liu San-Qiu
Keyword(s):  
Alternating Direction Implicit ◽  
Alternating Direction ◽  
One Step

scholarly journals A One-Step Leapfrog ADI Procedure with Improved Absorption for Fine Geometric Details

Electronics ◽  
2021 ◽  
Vol 10 (10) ◽  
pp. 1135
Author(s):  
Peiyu Wu ◽  
Han Yu ◽  
Yongjun Xie ◽  
Haolin Jiang ◽  
Toshiaki Natsuki
Keyword(s):  
Stability Condition ◽  
Computational Domain ◽  
Unconditionally Stable ◽  
Alternating Direction Implicit ◽  
Numerical Examples ◽  
Alternating Direction ◽  
One Step ◽  
Overall Performance ◽  
The Stability ◽  
Stable Scheme

Based on the alternating direction implicit (ADI) procedure, leapfrog formulation, and a higher order PML scheme, we propose an unconditionally stable perfectly matched layer (PML) algorithm with improved absorption to treat open regions in a finite computational domain with improved overall performance. The proposed algorithm performed well compared to other algorithms during simulations. We further demonstrated the proposed scheme’s effectiveness using numerical examples. We found that the proposed scheme had enhanced effectiveness and improved the absorption during the whole simulation. Furthermore, it was able to break the stability condition, proving that it is an unconditionally stable scheme.

The One-Step ADI-FDTD for Periodic Structures and its Stability

2014 ◽  
Vol 915-916 ◽  
pp. 1158-1162
Author(s):  
Yun Fei Mao ◽  
Hong Bing Wu ◽  
Lin Ou
Keyword(s):  
Periodic Structures ◽  
Fdtd Method ◽  
Fourier Method ◽  
Numerical Verification ◽  
Alternating Direction Implicit ◽  
Alternating Direction ◽  
One Step ◽  
The Stability ◽  
The One ◽  
Difference Time

In this paper, the stability analysis of the unconditionally stable one-step leapfrog alternating direction implicit (ADI) finite-difference time-domain (FDTD) method for periodic structures is presented. The amplification matrix of the proposed leap-frog ADI-FDTD method is obtained through the spatial domain with Fourier method and eigenvalues of the Fourier amplification matrix are obtained analytically to prove the unconditional stability of the periodic leapfrog ADI-FDTD method. Numerical verification is proposed to confirm the theoretical result.

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