基于离散傅立叶变换的圆柱Ω双各向异性超表面分析与合成框架
A Discrete Fourier Transform-Based Framework for Analysis and Synthesis of Cylindrical Omega-bianisotropic Metasurfaces
摘要：
本文提出了一个框架，用于分析和设计圆柱欧米茄双各向异性超颖表面，模式匹配和数字信号处理技术的启发。使用离散傅立叶变换，我们分解的电磁场分布到正交的圆柱模式和转换的方位角变化的超颖表面组成参数到它们各自的频谱。然后，通过调用适当的边界条件，我们建立系统的代数方程组，可以重新排列，以预测预先指定的元表面的散射场，或合成元表面支持任意规定的场变换。所提出的框架有利于有效地评估满足局部功率守恒的场分布，这是被动和无损标量元表面设计的关键难点之一。它代表了一个有前途的解决方案，以规避在许多国家的最先进的共形超表面为基础的设备的有源组件，受控的功耗，或张量表面极化率的需要。为了证明所提出的技术的鲁棒性和多功能性，我们设计了几个设备用于不同的应用程序，并使用有限元模拟进行数值验证。
英文摘要：
This paper presents a framework for analyzing and designing cylindrical omega-bianisotropic metasurfaces, inspired by mode matching and digital signal processing techniques. Using the discrete Fourier transform, we decompose the the electromagnetic field distributions into orthogonal cylindrical modes and convert the azimuthally varying metasurface constituent parameters into their respective spectra. Then, by invoking appropriate boundary conditions, we set up systems of algebraic equations which can be rearranged to either predict the scattered fields of prespecified metasurfaces, or to synthesize metasurfaces which support arbitrarily stipulated field transformations. The proposed framework facilitates the efficient evaluation of field distributions that satisfy local power conservation, which is one of the key difficulties involved with the design of passive and lossless scalar metasurfaces. It represents a promising solution to circumvent the need for active components, controlled power dissipation, or tensorial surface polarizabilities in many state-of-the art conformal metasurface-based devices. To demonstrate the robustness and the versatility of the proposed technique, we design several devices intended for different applications and numerically verify them using finite element simulations.
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