Efficient Fast Frequency Sweep Without Nonphysical Resonances
Efficient Fast Frequency Sweep Without Nonphysical Resonances
复制标题
高效快速扫频，无非物理共振
DOI：
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
R. Dyczij
中科院分区：
文献类型：
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作者：
O. Farle;Markus Lösch;R. Dyczij
摘要矩匹配型单点法为实现快速扫频提供了最有效的手段。有限元法的阻抗公式非常适合于这种技术，但它容易受到内部谐振的影响，特别是在无损微波结构的情况下。这种缺陷可以通过在波导端口处施加透明边界条件来解决，但是所得到的矩阵表现出非多项式频率依赖性，除非所有波导模式都是横向电和磁类型。因此，单点法不能在没有近似的情况下应用。本文提出了一种快速扫频技术，不仅处理横向电和磁模式，而且横向电和横向磁模式没有任何近似。此外，它保留了阻抗公式的效率，但防止发生内部谐振。给出了阻抗公式失效的理论背景和数值证据，并给出了新方法有效性的数学证明。计算结果表明，该方法是可靠的，误差小。
Abstract Single-point methods of moment-matching type provide a most effective means for realizing fast frequency sweeps. The impedance formulation of the finite element method is very well-suited for such techniques, but it is susceptible to interior resonances, especially in the case of lossless microwave structures. This deficiency can be resolved by imposing transparent boundary conditions at the waveguide ports, but the resulting matrices exhibit nonpolynomial frequency-dependency unless all waveguide modes are of the transverse electric and magnetic type. In consequence, single-point methods cannot be applied without approximations. This article proposes a fast frequency sweep technique that handles not only transverse electric and magnetic modes but also transverse electric and transverse magnetic modes without any approximations. Moreover, it retains the efficiency of the impedance formulation but prevents interior resonances from occurring. The theoretical background of and numerical evidence for the failure of the impedance formulation is given, and a mathematical proof for the validity of the new method is presented. Computational results demonstrate the reliability and low error of the suggested approach.