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20 April 2023 Stability and improvement of axisymmetric LADI-FDTD method
Wenbing Wang, Yifei Liu, Xutong Wang, Feng Qin, Mo Zhao
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Proceedings Volume 12602, International Conference on Electronic Information Engineering and Computer Science (EIECS 2022); 126020X (2023) https://doi.org/10.1117/12.2668602
Event: International Conference on Electronic Information Engineering and Computer Science (EIECS 2022), 2022, Changchun, China
Abstract
The LADI-FDTD (leapfrog alternative direction implicit finite difference time domain method), was widely used to solve the problem of electromagnetic calcula-tion on large size because it overcomes the stability condition of traditional finite difference time domain method, and thus improving the efficiency of calculation. There are a lot of problems are axisymmetric calculatio in the simulation especial-ly in cylindrical coordinates and spherical coordinates. So LADI-FDTD is applied to calculate axisymmetric problems, however it’s unconditionally stability is destroyed by iterative matrix. The instability of propagation located at iteration equation on axis line of symmetry by observing the electromagnetic wave spatial propagation. Based on this phenomenon, an improved stability method of ax-isymmetric LADI-FDTD is proposed, then numerical result proved that given method still has excellent stability under the condition of large time steps.
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Wenbing Wang, Yifei Liu, Xutong Wang, Feng Qin, and Mo Zhao "Stability and improvement of axisymmetric LADI-FDTD method", Proc. SPIE 12602, International Conference on Electronic Information Engineering and Computer Science (EIECS 2022), 126020X (20 April 2023); https://doi.org/10.1117/12.2668602
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KEYWORDS
Electromagnetism
Spherical lenses
Electric fields
Finite-difference time-domain method
Error analysis
Wave propagation
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