In this paper, we study the propagation of extremely short electromagnetic pulses in a medium with zig–zag carbon nanotubes taking into account pumping and nonlinear absorption introduced phenomenologically. Based on Maxwell’s equations, we obtain an effective equation for the vector potential of the electromagnetic field, which takes into account the dissipation of the pulse field under the conditions of the piezoelectric effect associated with the vibrations of heavy nuclei of the medium, pumping by an external electromagnetic wave, and nonlinear absorption of carbon nanotubes. We demonstrate the stability of the electromagnetic pulse shape on a time scale that is significantly longer than the pulse duration but not exceeding the relaxation time.

中文翻译：

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具有非线性吸收的碳纳米管介质中极短光脉冲传播特性

在本文中，我们研究了极短电磁脉冲在具有锯齿形碳纳米管的介质中的传播，并考虑了在现象学上引入的泵浦和非线性吸收。基于麦克斯韦方程，我们得到了一个有效的电磁场矢量势方程，该方程考虑了在与介质重核振动相关的压电效应条件下脉冲场的耗散，由外部电磁波和碳纳米管的非线性吸收。我们在明显长于脉冲持续时间但不超过弛豫时间的时间尺度上证明了电磁脉冲形状的稳定性。