In this work, the parametric quadrupole resonance caused by the phase modulation of waveform potential is studied. Based on analytical and numerical description of the ion motion in the quadrupole mass filter with the phase modulation, a stability island is found with good ion optical properties such as high ion transmission efficiency (16%), high mass resolution (peak width measured at 10% of peak height, R_0.1 = 6000), the required separation time (100–150 radio frequency [RF] cycles), and good peak shape of trapezoid form. Furthermore, the analysis of the frequency spectrum of the applied potential and the quadrupole mass filter (QMF) acceptance are also presented; a resonance frequency is found from this spectrum. Finally, a suitable stability X‐islands with relative modulation frequency, , is established and studied in detail. Here, β is the imaginary part of the characteristic exponent of stable solutions to the Mathieu equation.

中文翻译：

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具有射频电压相位调制的质量过滤器。

在这项工作中，研究了由波形电势的相位调制引起的参数四极共振。根据对具有相位调制的四极质量过滤器中离子运动的分析和数值描述，发现具有良好离子光学特性的稳定岛，例如高离子传输效率（16％），高质量分辨率（峰宽在10时测量）峰高的百分比，R _0.1 = 6000），所需的分离时间（100-150个射频[RF]周期）和梯形良好的峰形。此外，还介绍了对施加电势的频谱分析和四极杆质量滤波器（QMF）的验收；从该频谱中找到共振频率。最后，一个具有相对调制频率的合适的稳定性X-岛，，建立和详细研究。在此，β是Mathieu方程稳定解的特征指数的虚部。