Adjoint higher order sensitivities for fast full-wave optimization of microwave filters
Adjoint higher order sensitivities for fast full-wave optimization of microwave filters
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DOI：
10.1109/tmtt.2006.877814
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发表时间：
2006-08-01
影响因子：
4.3
通讯作者：
Bandler, John W.
中科院分区：
文献类型：
--
作者：
El Sabbagh, Mahmoud A.;Bakr, Mohamed H.;Bandler, John W.
首次将利用伴随海森矩阵的全波优化方法应用于微波滤波器和过渡带的设计。用伴随网络方法(ANM)解析地计算了散射参数的一阶和二阶灵敏度。将基于模式匹配的ANM应用于不同滤波/过渡分量的广义散射矩阵。可微目标函数的解析梯度和海森矩阵用一阶和二阶响应伴随灵敏度表示。利用伴随的一阶和二阶信息，应用了利用二阶信息的优化技术，例如Levenberg-MarQuardt方法。与基于梯度的优化技术(如Broyden-Fletcher-Goldfarb-Shanno方法)相比，使用这些技术可以获得显著的加速。基于伴随项的灵敏度也被用于微波滤波器的有效容差分析。
For the first time, full-wave optimization exploiting adjoint Hessian matrices is applied to the design of microwave filters and transitions. The first- and second-order sensitivities of the scattering parameters are computed analytically using the adjoint network method (ANM). The mode-matching-based ANM is applied to the generalized scattering matrices of the different filter/transition components. Analytical gradient and Hessian matrices of differentiable objective functions are expressed in terms of the, first- and second-order response adjoint sensitivities. Optimization techniques exploiting second-order information such as the Levenberg-Marquardt method are applied using the adjoint first- and second-order information. Significant acceleration is achieved using these techniques over gradient-based optimization techniques such as the Broyden-Fletcher-Goldfarb-Shanno method. The adjoint-based sensitivities are also exploited in efficient tolerance analysis of microwave filters.