The Optimal Force-Gradient Symplectic Finite-Difference Time-Domain Scheme for Electromagnetic Wave Propagation
| Autor: | Chong-xi Ran, Shuangying Zhong, Song Liu |
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| Rok vydání: | 2016 |
| Předmět: |
Wave propagation
Mathematical analysis Finite-difference time-domain method Finite difference method 020206 networking & telecommunications 02 engineering and technology Dissipation 01 natural sciences Microstrip antenna Norm (mathematics) 0103 physical sciences 0202 electrical engineering electronic engineering information engineering Electrical and Electronic Engineering 010303 astronomy & astrophysics Mathematics Numerical stability Symplectic geometry |
| Zdroj: | IEEE Transactions on Antennas and Propagation. 64:5450-5454 |
| ISSN: | 1558-2221 0018-926X |
| DOI: | 10.1109/tap.2016.2606543 |
| Popis: | In this communication, we design an optimal force-gradient symplectic finite-difference time-domain (SFDTD) scheme for numerically solving Maxwell’s equations based on the additional constraint of the minimized norm of fourth-order truncation errors. The numerical dissipation can be minimized and the optimal time coefficients for the third-order force-gradient symplectic method can be obtained. Due to the second-order accurate adopted in space domain, in general, the proposed optimal SFDTD method is still second-order accurate. The numerical stability and numerical dispersion analysis indicate that the optimal force-gradient SFDTD method has higher accuracy and stability compared with the nonoptimal force-gradient SFDTD method. Moreover, in order to verify the validity of the presented method, the scattering parameters of a line-fed rectangular microstrip antenna are calculated. |
| Databáze: | OpenAIRE |
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