The characteristics of whistler-mode waves excited by temperature anisotropic electrons, whose velocity distribution is a combination of bi-Maxwellian distribution and beam-like shapes, are investigated by both linear theory analysis and particle-in-cell simulation. A frequency gap is formed between two peaks, which is caused by the mode splitting of beam-like electrons. We have further investigated the influences of different parameters and found that the position of beam-like shape is the key parameter in determining the frequency of power gap. Moreover, the beam-like component on one direction will lead to the gap in the spectra of waves propagating in the opposite direction. Our study can shed light on the effects of beam-like electrons on the spectra of whistler-mode waves.

中文翻译：

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由电子双麦克斯韦分布和平行光束激发的两波段惠斯勒模式波

通过线性理论分析和粒子模拟，研究了温度各向异性电子激发的惠斯勒波的特性，其速度分布是双麦克斯韦分布和束状形状的组合。在两个峰值之间形成了一个频率间隙，这是由束状电子的模式分裂引起的。我们进一步研究了不同参数的影响，发现束状形状的位置是确定功率间隙频率的关键参数。而且，在一个方向上的束状分量将导致在相反方向上传播的波谱中的间隙。我们的研究可以揭示束状电子对惠斯勒模式波频谱的影响。