Efficient PML Implementation for Approximate CN-FDTD Method
| Autor: | Hao Lin Jiang, Tie Jun Cui |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Series (mathematics)
Finite difference method Finite-difference time-domain method 020206 networking & telecommunications 02 engineering and technology Stability (probability) Mathematics::Numerical Analysis Perfectly matched layer 0202 electrical engineering electronic engineering information engineering Bilinear transform Applied mathematics Limit (mathematics) Electrical and Electronic Engineering Mathematics Numerical stability |
| Zdroj: | IEEE Antennas and Wireless Propagation Letters. 18:698-701 |
| ISSN: | 1548-5757 1536-1225 |
| DOI: | 10.1109/lawp.2019.2901303 |
| Popis: | Instead of applying the standard Crank–Nicolson (CN) method, an efficient perfectly matched layer (PML) based on the CN approximate-factorization-splitting (CNAFS) scheme is proposed to terminate three-dimensional (3-D) finite-difference time-domain lattices. It can not only be free from the Courant– Friedrich–Levy limit, but also has higher efficiency than the standard CN-PML. Considering that its iteration form based on the original CNAFS scheme is still complicated, its calculation speed is further improved via introducing a series of intermediate variables. All mathematical derivations are based on the bilinear transform method to guarantee the accuracy. Finally, the absorption performance, computational efficiency, and unconditional stability of our work are verified through two 3-D numerical examples of electromagnetic waves radiating in homogeneous spaces. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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