Abstract

The propagation of an extremely short three-dimensional optical pulse in a medium of semiconductor carbon nanotubes under the conditions of a cylindrical optical resonator is studied theoretically. The pulse’s cross section is described by Mathieu functions. Numerical modeling is used to show that such pulses propagate steadily, retaining their energy in a limited spatial region. The pulse is reflected off the walls of the optical resonator and encounters further interference. Calculations are performed in the time domain up to 140 ps, which is important for possible practical applications.

中文翻译：

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碳纳米管介质中光学谐振器条件下的无衍射Mathieu脉冲

摘要

理论上研究了在圆柱状光谐振器条件下极短的三维光脉冲在半导体碳纳米管介质中的传播。脉冲的横截面由Mathieu函数描述。数值模型用于显示此类脉冲稳定传播，将其能量保留在有限的空间区域中。脉冲从光谐振器的壁反射出来，并受到进一步的干扰。计算在高达140 ps的时域中进行，这对于可能的实际应用很重要。