光子晶体光纤超连续谱产生过程中色散波的孤子俘获研究*
Soliton trapping of dispersive waves during supercontinuum generation in photonic crystal fiber
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摘要: 基于光子晶体光纤中脉冲演化遵循的非线性薛定谔方程,用数值模拟的方法分别研究了飞秒脉冲在单零色散点和双零色散点光子晶体光纤中超连续谱的产生和色散波的孤子俘获现象。结果表明:与单零色散点光子晶体光纤相比,双零色散点光子晶体光纤产生的超连续谱既包含了蓝移色散波,又包含了红移色散波,且当满足群速度匹配时,孤子通过四波混频不仅能俘获蓝移色散波,而且能俘获红移色散波,从而产生新的俘获波频谱成分。为了清楚地观察脉冲传输的时频特性,通过模拟交叉相关频率分辨光学开关技术,得到了孤子俘获色散波的演化过程。Abstract: Using the generalized nonlinear Schr ¨odinger equation, we present a numerical study of trapping of dispersive waves by solitons during femtosecond pumped supercontinuum generation in photonic crystal fiber with single or double zero dispersive wavelength. Numerical simulation results show that the generated supercontinuum in photonic crystal fiber with two zero dispersive wavelengths includes both blue-shifted dispersive wave (B-DW) and red-shifted dispersive wave (R-DW) while the generated supercontinuum in photonic crystal fiber with single zero dispersive wavelength has only blue-shifted dispersive wave. We find a novel phenomenon that not only B-DW but also R-DW can be trapped by solitions via four-wave mixing when the group-velocity matching between the soliton and the dispersive wave is satisfied, thus leading to the generation of new spectral components. In order to clearly display the evolution of soliton trapping of dispersive waves, the spectrogram of output pulses is observed using cross-correlation frequency-resolved optical gating technique.
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