非线性高动生电感传输线谐振器中的二极管效应
Diode Effect in Nonlinear High-Kinetic-Inductance Transmission Line Resonators
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中文总结 AI 辅助
本文针对现有理论近似对强非线性HKI传输线谐振结构的不足，开发了保留电磁场全部空间依赖性的理论框架，揭示了无磁偏置下高达93%的传输对比度等特性，为强非线性超导微波器件分析设计提供了通用工具。
中文摘要 AI 辅助
高动生电感（HKI）传输线是紧凑非线性超导微波器件的有前景平台。现有理论描述通常基于缓变包络近似，该近似对具有显著空间场变化的强非线性谐振结构而言不够适用。本文通过将问题表述为保留电磁场全部空间依赖性的边值问题，开发了一套用于HKI传输线中单频非线性波传播的理论框架。将该方法应用于谐振传输线几何结构时，我们展示了由非对称阻抗势垒产生的与功率相关的谐振偏移、双稳态传输解以及强方向依赖性传输，在无磁偏置场的情况下获得了高达93%的传输对比度。该框架还被扩展到三端口短截线几何结构，其中非线性干涉产生偏移的反谐振和类杜芬频谱畸变。我们的方法为强非线性超导微波器件的分析与设计提供了通用工具。
英文摘要
High-kinetic-inductance (HKI) transmission lines provide a promising platform for compact nonlinear superconducting microwave devices. Existing theoretical descriptions are typically based on the slowly varying envelope approximation, which becomes inadequate for strongly nonlinear resonant structures with pronounced spatial field variations. Here, we develop a theoretical framework for single-frequency nonlinear wave propagation in HKI transmission lines by formulating the problem as a boundary value problem that retains the full spatial dependence of the electromagnetic fields. Applying the method to resonant transmission-line geometries, we demonstrate power-dependent resonance shifts, bistable transmission solutions, and strongly direction-dependent transport arising from asymmetric impedance barriers, yielding transmission contrasts of up to $93\%$ without magnetic bias fields. The framework is further extended to a three-port stub geometry, where nonlinear interference produces shifted anti-resonances and Duffing-like spectral distortions. Our approach provides a versatile tool for the analysis and design of strongly nonlinear superconducting microwave devices.
