基于变换的二次球斗篷理论与优化
Theory and optimization of transformation-based quadratic spherical cloaks
摘要：
基于隐身衣母函数的概念，提出了一种数值计算方法，计算了各种二次球形隐身衣的隐身性能，并得到了最优的隐身效果。采用非理想离散模型计算并优化了不同生成函数剖面的总散射截面。最后通过控制设计参数对钟形二次球形隐身衣进行了优化。这种改进的不可见性即使在模型高度离散化时也是稳定的。
英文摘要：
Based on the concept of the cloak generating function, we propose a numerical method to compute the invisibility performance of various quadratic spherical cloaks and obtain optimal invisibility results. A non-ideal discrete model is used to calculate and optimize the total scattering cross-sections of different profiles of the generating function. A bell-shaped quadratic spherical cloak is found to be the best candidate, which is further optimized by controlling design parameters involved. Such improved invisibility is steady even when the model is highly discretized.
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