基于响应面方法的波导介质层PBG结构滤波器的优化设计

OPTIMAL DESIGN OF DIELECTRIC LAYER PBG STRUCTURE IN WAVEGUIDE FILTER ON THE RESPONSE SURFACE METHODOLOGY

在辛体系下利用精细积分对矩形波导纵向排列介质层PGB结构进行分析的基础之上,用响应面方法对滤波器进行了优化设计.采用棱单元对波导的横截面进行离散,然后导向哈密顿体系,运用基于黎卡提微分方程的精细积分求出一段介质层和一段空气层的出口刚度阵,再将两区段合并得到一个周期段的出口刚度阵,从而可对所有周期进行合并以对问题求解.在分析的基础上建立了滤波器的优化设计模型,利用响应面方法将目标函数和约束函数近似显式化,运用二次规划法对优化模型进行求解,得到了滤波性能最优的设计参数.算例表明本文方法是可行有效的.

The stop - band characteristic of dielectric layer PBG structure in waveguide filter was analyzed using precise integration in symplectic system, and the filter was optimized on response surface methodology. The transverse section was discretized by edge element. The export stiff matrices of a dielectric layer and an air layer can be calculated by the precision integration based on Riccati equations in Hamilton system. The export stiff matrices of a period can be obtained by the combination of substructures, and the whole structure can be solved. Optimization model of the filter was established on the basis of analysis. The approximate expression was found between the design parameters and the objective function by response surface methodology. quadratic programming and the optimal parameters were obtained. Example demons The model was solved using trated that it was effective.