AI 中文总结
该研究提出用非周期时间调制的电抗元件模拟非福斯特响应，突破Bode-Fano极限实现无失真宽带阻抗匹配，通过电路仿真验证方案物理可行性，将带宽-反射率权衡转为带宽-能量权衡。
AI 中文摘要
Bode-Fano界为无源、线性、时不变匹配网络的带宽与反射率设定了基本权衡关系。本文表明，非周期时间调制的电抗元件可模拟匹配指定脉冲所需的非福斯特响应，实现超越Bode-Fano极限的无反射、近无失真能量传输。该方法引入了新约束：随脉冲带宽缩放的最小直流偏置，由调制电容需始终为正的要求推导得出，此调制-偏置界将经典的带宽-反射率权衡替换为带宽-能量权衡。实际电路仿真证实了保留波形保真度的宽带匹配，证明该方案在物理上可实现，并非仅为数学上的规避。
英文摘要
The Bode-Fano bound sets a fundamental trade-off between bandwidth and reflection in passive, linear, time-invariant matching networks. We show that an aperiodically time-modulated reactive element can emulate the non-Foster response required to match a prescribed pulse, achieving reflectionless, nearly distortionless energy transfer beyond the Bode-Fano limit. The approach introduces a new constraint: a minimum dc bias that scales with pulse bandwidth, derived from the requirement that the modulated capacitance remain positive at all times. This modulation-bias bound replaces the classical bandwidth-reflection trade-off with a bandwidth-energy trade-off. A realistic circuit simulation confirms broadband matching with preserved waveform fidelity, demonstrating that the scheme is physically realizable and not merely a mathematical circumvention.
Comments15 pages, 8 figures
