任意色散单模光纤中的超高斯脉冲畸变

中文摘要 AI 辅助

Marcuse 关于单模光纤中脉冲畸变的理论为从任意光谱宽度的光源发射的高斯脉冲提供了闭合形式的结果。我们将该理论扩展到具有线性或边缘集中啁啾、单线或多线光源以及任意数量色散系数的任意阶超高斯脉冲。均方根输出宽度可从 Wigner 分布的矩精确获得，所涉及的所有脉冲矩均化简为 Gamma 函数的有限和。超高斯脉冲对高阶色散的敏感度远高于高斯脉冲，且受啁啾压缩的效率较低。在零色散波长附近，其均方根宽度受弱光谱旁瓣主导，并高估了脉冲能量的展宽。对于脉冲序列，当输入脉冲不重叠时，相邻脉冲间的干涉使所有时间矩保持不变，但会在局部重新分配能量，其可见度由经脉冲光谱滤波后的源光谱决定。

英文摘要

Marcuse theory of pulse distortion in singlemode fibers provides closed-form results for Gaussian pulses launched from sources of arbitrary spectral width. We extend the theory to supergaussian pulses of arbitrary order with linear or edge-concentrated chirp, single or multiline sources and an arbitrary number of dispersion coefficients. The rms output width is obtained exactly from the moments of the Wigner distribution, and all the pulse moments involved reduce to finite sums of Gamma functions. Supergaussian pulses are considerably more sensitive than Gaussian pulses to higher order dispersion and are compressed less efficiently by chirp. Near the zero-dispersion wavelength their rms width is governed by weak spectral side lobes and overestimates the broadening of the pulse energy. For pulse sequences, interference between neighboring pulses leaves all time moments unchanged when the input pulses do not overlap, but it redistributes energy locally with a visibility set by the source spectrum filtered by the pulse spectrum.

发表机构

• ITEAM Research Institute, Universitat Politècnica de València（瓦伦西亚理工大学 ITEAM 研究所）

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