AI 中文总结
研究共振增强光学参量放大器的精确动力学，直接求解光场输入输出关系得频域关系并提供低阶展开，分析相关表达式，还研究从频率依赖性提取性能信息的方法，为放大器性能表征提供互补手段。
AI 中文摘要
光学参量放大是产生连续波压缩真空的关键技术，目前应用于引力波干涉测量和其他高灵敏度光学相位测量。引力波探测中使用的放大器通过光学腔共振增强，这给其运行带来了复杂的动力学，需要光场关系的频域模型。本文直接求解了进入、在模型放大器中循环和离开的光场之间的输入-输出关系，以产生完全包含腔动力学的频域关系。还为这些关系提供了低阶零极点增益展开，以便从反馈控制角度进行分析。在小腔衰减率极限下，我们的关系简化为先前在哈密顿形式下导出的关系。还分析了放大器品质因数和压缩正交方差的表达式。在此过程中，研究了如何从输入-输出关系的频率依赖性中提取放大器性能信息，提供了与检查静态放大器行为的方法互补的表征方法。
英文摘要
Optical parametric amplification is a crucial technology for the production of continuous-wave squeezed vacuum, which is now applied to gravitational-wave interferometry and other highly sensitive measurements of optical phase. The amplifiers employed in gravitational-wave detection are resonantly enhanced with optical cavities, which introduces nontrivial dynamics to their operation and requires a frequency-domain model of the relations between optical fields. In this work, input-output relations between optical fields entering, circulating in, and exiting a model amplifier are solved directly to produce frequency-domain relations that fully incorporate the cavity dynamics. We also provide low-order zero-pole-gain expansions for these relations to facilitate their analysis from a feedback control perspective. In the limit of small cavity decay rates, our relations are shown to reduce to relations previously derived under a Hamiltonian formalism. Expressions for amplifier figures of merit and for squeezed quadrature variances are also analyzed. Along the way, we examine how information about the amplifier performance can be extracted from the frequency dependence of the input-output relations, providing characterization methods that are complementary to methods that examine the static amplifier behavior.
Comments25 pages, 8 figures
