发表机构
Institute for Fundamental Science, Materials Science Institute, and Department of Physics, University of Oregon（俄勒冈大学基础科学研究所、材料科学研究所和物理系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究耦合振荡器阵列全频段互易参量放大问题，通过开发通用物理框架推导调制条件，在有源机械超材料模型中验证，数值演示其在波包相关应用中的有效性，该策略可推广到其他有源波介质。
AI 中文摘要
参量共振是一种在时间调制超材料中操纵波信号的通用机制，但通常在窄波长或频率范围内运行。本文表明，耦合谐振器的一维阵列在驻波参量调制下可在整个频段内实现参量放大。我们开发了一个通用物理框架来描述孤立频段的参量共振，推导了给定频段实现全频段放大所需的调制条件，并在基于可调谐膜谐振器阵列的有源机械超材料模型中验证了其有效性。我们通过数值演示了该策略在波包的无失真放大和时间分裂中的应用，结果与理论计算定量相符。我们的宽带放大策略可推广到其他具有近似平坦或余弦状色散关系的有源波介质，在损耗减轻、噪声压缩和可编程波操纵方面有潜在应用。
英文摘要
Parametric resonance provides a versatile mechanism to manipulate wave signals in time-modulated metamaterials, but typically operates within narrow wavelength or frequency ranges. Here, we show that one-dimensional arrays of coupled resonators can generically exhibit parametric amplification across an entire band under standing-wave parametric modulation. We develop a general physical framework to describe the parametric resonance of isolated bands, derive modulation conditions needed to achieve full-band amplification for a given band, and demonstrate their validity in a model of active mechanical metamaterials based on tunable membrane resonator arrays. We numerically demonstrate applications of the proposed strategy in distortion-free amplification and temporal splitting of wave packets, with results in quantitative agreement with our theoretical calculations. Our strategies for broadband amplification can be generalized to other active wave media with nearly flat or cosine-like dispersion relations, with potential applications in loss-mitigation, noise squeezing, and programmable wave manipulation.
Comments17 pages including Appendices, 5 figures. v2: Expanded fiscussion of damping, nonlinearities, experimental feasibility, and implications for signal processing; language and terminology edits for clarity
