基于LOD-FDTD的微帶線邊緣奇異性處理技術(shù)研究
doi: 10.11999/JEIT140518 cstr: 32379.14.JEIT140518
基金項(xiàng)目:
國(guó)家自然科學(xué)基金(51209055)和中央高?；究蒲袠I(yè)務(wù)費(fèi)專(zhuān)項(xiàng)資金 (HEUCFR1124)資助課題
Study for Singularity Processing Technology of MicrostripLine Edge Based on the LOD-FDTD
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摘要: 為解決現(xiàn)有方法在處理微帶線邊緣電磁場(chǎng)的奇異性時(shí)，存在計(jì)算效率和精度之間的矛盾，該文提出一種在局部1維時(shí)域有限差分法(LOD-FDTD)基礎(chǔ)上，結(jié)合微帶線邊緣電磁場(chǎng)分布函數(shù)，并通過(guò)坐標(biāo)變換可處理導(dǎo)體嵌入網(wǎng)格面積大于1/2時(shí)的情況，因而適用性更廣的微帶線邊緣奇異性處理技術(shù)。與現(xiàn)有奇異性處理技術(shù)對(duì)比證明，該算法在采用的時(shí)間步長(zhǎng)小于等于Courant-Friedrichs-Lewy(CFL)穩(wěn)定性條件所允許最大時(shí)間步長(zhǎng)5倍的情況下，具有更高的計(jì)算精度。且與一般LOD-FDTD算法對(duì)比證明，引入的微帶線邊緣電磁場(chǎng)分布函數(shù)使得該算法在節(jié)省計(jì)算資源和提高計(jì)算效率的同時(shí)，保持了更高的計(jì)算精度。
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關(guān)鍵詞:
- 微帶線 /
- 局部1維時(shí)域有限差分法 /
- 奇異性處理 /
- 坐標(biāo)變換
Abstract: In order to solve the contradiction between the efficiency and accuracy as using the existing methods in the processing of the singularity of electromagnetic field near the microstrip line edge, in this paper, a microstrip line edge singularity processing technology based on the Locally One Dimensional Finite Difference Time Domain (LOD-FDTD), and combined with distribution function of electromagnetic field near microstrip line edge is proposed. The algorithm can handle conductors embedded in the grid area of more than 1/2 by the coordinate transformation, thus having wide applicability. Compared with the existing processing technology, the proposed algorithm in this paper has higher calculation accuracy, when the time step size is less than or equal to 5 times of the Courant-Friedrichs-Lewy (CFL) condition allowed. And compared with general LOD-FDTD, the proposed algorithm by introducing distribution function of electromagnetic field near microstrip line edge not only saves the computational resources and improves the efficiency, but also maintains the higher accuracy. -
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