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arXiv 2103.08866physics.app-phphysics.optics
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设计散射系统中多谐振滤波器的分析准则及其在微波超颖表面上的应用

Analytical criteria for designing multiresonance filters in scattering systems, with application to microwave metasurfaces

Mohammed Benzaouia, John D. Joannopoulos, Steven G. Johnson, Aristeidis Karalis

摘要:

我们提出了一般的分析标准的无损互易二端口系统的设计,表现出规定的散射光谱$S(ω)$满足$S_{22}(ω)=e^{iφ}S_{11}(ω)$,包括对称($S_{22}=S_{11}$)或“反对称”($S_{22}=-S_{11}$)的响应,如标准的过滤器(巴特沃斯,切比雪夫,椭圆等)。我们发现,所有这样的两端口系统的非归一化谐振(准正常)模式(QNM)耦合到输入和输出端口具有特定的酉比,其相对符号确定的位置上的散射零点的实频率轴。这使我们能够获得设计标准分配值的极点,背景响应和QNM端口耦合系数。然后,可以使用数值本征解算器经由良好条件的非线性优化(或求根)问题来设计滤波器装置。作为一个应用程序,我们设计了多个微波元表面配置偏振保持传输,反射偏振转换,或衍射“完美的异常反射”,实现过滤器,精确匹配标准的带通或带阻滤波器的各种类型,阶数和带宽,重点是最好的性能椭圆滤波器。

英文摘要:

We present general analytical criteria for the design of lossless reciprocal two-port systems, which exhibit prescribed scattering spectra $S(ω)$ satisfying $S_{22}(ω)=e^{iφ}S_{11}(ω)$, including symmetric ($S_{22}=S_{11}$) or "antimetric" ($S_{22}=-S_{11}$) responses, such as standard filters (Butterworth, Chebyshev, elliptic, etc.). We show that the non-normalized resonant (quasi-normal) modes (QNMs) of all such two-port systems couple to the input and output ports with specific unitary ratios, whose relative signs determine the position of the scattering zeros on the real frequency axis. This allows us to obtain design criteria assigning values to the poles, background response, and QNM-to-ports coupling coefficients. Filter devices can then be designed via a well-conditioned nonlinear optimization (or root-finding) problem using a numerical eigensolver. As an application, we design multiple microwave metasurfaces configured for polarization-preserving transmission, reflective polarization conversion, or diffractive "perfect anomalous reflection", to realize filters that precisely match standard bandpass or bandstop filters of various types, orders and bandwidths, with focus on the best-performing elliptic filters.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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