The extended cavity diode lasers were stabilized using the first and third derivatives obtained by the frequency modulation method from the hyperfine resonances of the ⁸⁷Rb D₂ transition line. The frequency stability values were measured as 3.1 × 10^-12, 5.6 × 10^-13, and 1.9 × 10^-12 for integration times of 1, 10², and 10⁴ s, respectively, using the first derivatives of F=1 → F′=1 and F=1 → F′=2 resonances. By use of the third derivatives of F=2 → F′=1,3 and F=2 → F′=2,3 cross-over resonances, 4.0 × 10^-12 − 1 s, 5.7 × 10^-13 − 10² s, 9.3 × 10^-13 − 10⁴ s frequency stability values were obtained. These values compared with the results of the previous study obtained by the Zeeman modulation method.

^{使用通过频率调制方法从87} Rb D ₂过渡线的超精细共振获得的一阶和三阶导数来稳定扩展腔二极管激光器。使用F =1的一阶导数，对于 1、10 ²和 10 ⁴ s 的积分时间，测得频率稳定性值分别为 3.1 × 10 ^-12、5.6 × 10 ^-13和 1.9 × 10 ^-12 → F ′=1 且F =1 → F ′=2 共振。利用F =2 → F ′=1,3 和F =2 → F ′=2,3 交叉共振的三阶导数，4.0 × 10 ^-12 − 1 s, 5.7 × 10 ^-13 − 10 ² s，获得9.3 × 10 ^-13 − 10 ^{4 s 频率稳定值。}这些值与之前通过塞曼调制方法获得的研究结果进行了比较。