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用于非規(guī)則波導(dǎo)傳輸特性分析的高效坐標(biāo)變換法

發(fā)布時(shí)間:2018-02-08 14:52

  本文關(guān)鍵詞: 非規(guī)則波導(dǎo) 坐標(biāo)變換 各向異性媒質(zhì) 等效規(guī)則波導(dǎo) 出處:《西安交通大學(xué)學(xué)報(bào)》2014年08期  論文類型:期刊論文


【摘要】:針對(duì)傳統(tǒng)數(shù)值方法在非規(guī)則波導(dǎo)的數(shù)值計(jì)算中存在邊界處理復(fù)雜、計(jì)算效率低等問(wèn)題,提出了一種高效分析非規(guī)則波導(dǎo)傳輸特性的坐標(biāo)變換法。首先根據(jù)變換函數(shù),將非規(guī)則截面區(qū)域映射為一個(gè)簡(jiǎn)單的規(guī)則截面區(qū)域,為保證變換前后Maxwell方程組滿足形式不變性,變換后的規(guī)則截面區(qū)域需填充適當(dāng)?shù)母飨虍愋悦劫|(zhì),媒質(zhì)參數(shù)由Jacobian變換矩陣確定,由此將非規(guī)則截面波導(dǎo)轉(zhuǎn)化為一個(gè)與其等效的規(guī)則截面波導(dǎo);其次借助有限元法對(duì)簡(jiǎn)單的等效規(guī)則波導(dǎo)進(jìn)行求解,可有效降低邊界處理算法的復(fù)雜度和剖分網(wǎng)格密度,提高數(shù)值計(jì)算效率。對(duì)橢圓波導(dǎo)和矩形脊波導(dǎo)的計(jì)算結(jié)果表明,使用該方法能夠在保證足夠計(jì)算精度的同時(shí),節(jié)省計(jì)算資源達(dá)50%以上。
[Abstract]:In order to solve the problems of complex boundary processing and low computational efficiency in the numerical calculation of irregular waveguides by traditional numerical methods, a coordinate transformation method is proposed to analyze the transmission characteristics of irregular waveguides. The irregular cross section region is mapped to a simple regular section region. In order to ensure that the Maxwell equations before and after transformation satisfy the form invariance, the transformed regular section region should be filled with appropriate anisotropic medium. The medium parameters are determined by the Jacobian transform matrix, and the irregular cross section waveguide is transformed into an equivalent regular section waveguide, and the simple equivalent regular waveguide is solved by the finite element method. The computational results of elliptical waveguide and rectangular ridge waveguide show that the proposed method can ensure sufficient calculation accuracy while reducing the complexity and mesh density of the boundary processing algorithm. The computational resources are saved by more than 50%.
【作者單位】: 西安交通大學(xué)電子與信息工程學(xué)院;
【基金】:中央高校基本科研業(yè)務(wù)費(fèi)專項(xiàng)資金資助項(xiàng)目(XJJ20100054)
【分類號(hào)】:TN814

【參考文獻(xiàn)】

相關(guān)期刊論文 前3條

1 周平;;脊加載橢圓波導(dǎo)傳輸特性的矢量有限元法分析[J];電波科學(xué)學(xué)報(bào);2009年06期

2 周海京,林為干,丁武,周傳明;新型橢圓函數(shù)波導(dǎo)族的保角變換有限差分解法[J];電波科學(xué)學(xué)報(bào);1999年02期

3 喬海亮;王s,

本文編號(hào):1495701


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