圆柱环型介质谐振器设计公式

Design Formulas of the Cylindrical Ring Dielectric Resonator

研究了基于协方差自适应进化策略(CMA-ES)的圆柱环型介质谐振器(DR)设计公式。采用介质波导模型(DWN)分析得到了圆柱环形结构的特征方程。以此为基础,求得环形DR的谐振频率。然后提出了环形DR的设计公式,并利用CMA-ES进行参数优化,得到最终结果。公式在9≤ε_(2)≤27、0.4≤h/r_(2)≤2以及0.3≤r_(1)/r_(2)≤0.8范围内,最大误差为2.25%,其中ε_(2)、r_(1)、r_(2)和h分别为环形DRA的介电常数、内半径、外半径和高度。

New design formulas of the cylindrical ring dielectric resonator (DR) using covariance matrix adaptation evolutionary strategy (CMA-ES) are investigated.The dielectric waveguide model (DWN) is used in the analysis to derive characteristic equations of the ring structure.By solving the equations,the resonant frequency of the ring DR is determined.Then the design formulas of the ring DR is given.It was found that the maximum error of the CMA-ES formulas is 2.25%over the rang of 9≤ε_(2)≤27,0.4≤h/r_(2)≤2 and 0.3≤r_(1)/r_(2)≤0.8,whereε_(2),r_(1),r_(2)and h is the dielectric constant,inner and outer radius,and height of the ring DRA,respectively.