We have used the Josephson arbitrary waveform synthesizer (JAWS) to provide traceability for the phase of the harmonics, relative to their fundamental frequency, of a distorted waveform. For distorted waveforms with rms values from 0.154 to 0.2 V and harmonic magnitudes from 5% to 40% of the fundamental, our system can generate odd harmonics up to the 39th with best phase uncertainties from 0.001° to 0.010° ( $k = 2.0$ ), depending on the harmonic number and harmonic magnitude. We anticipate that the ability of the JAWS to generate distorted waveforms with the lowest possible uncertainty in the magnitude, and phase spectra will make it a unique tool for low-frequency spectrum analysis.

中文翻译：

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约瑟夫森任意波形合成器作为测量失真波形中谐波相位的参考标准

我们使用约瑟夫森任意波形合成器 (JAWS) 来提供谐波相位的可追溯性，相对于它们的基频，失真波形。对于 rms 值为 0.154 至 0.2 V 且谐波幅度为基波的 5% 至 40% 的失真波形，我们的系统可以生成高达 39 次的奇次谐波，最佳相位不确定度为 0.001° 至 0.010°（$k = 2.0$ )，取决于谐波次数和谐波幅度。我们预计，JAWS 能够以尽可能低的幅度和相位谱生成失真波形，这将使其成为低频频谱分析的独特工具。