“…Low-frequency fast-magnetosonic waves (LFWs) usually have a wavelength larger than 1,000 km, comparable with the ion gyro-radii in the Earth's foreshock region (Hobrara et al, 2007;Wang et al, 2021). These waves are an important part of the macroscopic structure upstream of the bow shock and have been widely investigated over the last several decades (Gary et al, 1984;Hobrara et al, 2007;Lu et al, 2024;Tsurutani et al, 1983Tsurutani et al, , 2001Wang et al, 2020). They are right-hand polarized and typically have the frequencies less than ∼few Hertz, below the lower hybrid resonance frequency (Hobrara et al, 2007;Tsurutani et al, 1983Tsurutani et al, , 2001Wang et al, 2021).…”