基于坐标映射的类周期电磁金属阵列布局设计的灵敏度分析方法

特定性能的类周期电磁金属阵列已成功应用于多种类型的电磁器件中,以实现其电磁辐射或散射性能的提升设计.类周期电磁金属阵列可描述为由多个相似形状的电磁金属单元按照特定的布局形式组合形成.布局形式由阵列的布局参数确定,通常包括每个单元的尺寸、转角以及位置参数.布局参数往往规模较大且相互独立,需要经过设计优化以满足阵列的性能要...

Mapping-based method for sensitivity analysis of quasi-periodic array

Function-specific quasi-periodic arrays have been integrated in many electromagnetic devices for performance improvement.In most cases a quasi-periodic array can be described as the arrangement of a series of similar array elements adjusting with the arrangement parameters.The parameters of interest include stretching, rotating, and position parameters of each array element and should be independently optimized to satisfy the array design requirement.Generally, the design optimization can be accelerated by using the sensitivity information, but the sensitivity calculation is often expensive, particularly for the case of quasi-periodic arrangement design.Thus, it is important to develop an efficient sensitivity analysis method.In this paper, a mapping-based method is proposed for predicting the radiation property of quasi-periodic array and computing its sensitivities with respect to the arrangement parameters.Through mapping transformation, the radiating problem of quasi-periodic array is modeled within a virtual single-cell domain by constructing the parametrized electric field integral equation, and the sensitivities are analytically calculated through the adjoint approach based on the geometrical parameterization of the quasi-periodic array.A typical numerical example is provided to validate the accuracy and effectiveness of the proposed method.Compared with the traditional finite difference method, the solution efficiency is greatly improved.