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Effects of higher-order dispersion on resonant dispersive waves emitted by solitons

机译：高阶色散对孤子发射的共振色散波的影响

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摘要

Dispersive waves (DW) are generated owing to perturbation of solitons by higher-order dispersion (HOD) and nonlinearity during supercontinuum (SC) generation. The frequencies of these waves are governed by a phase-matching condition in the form of a polynomial whose coefficients depend on the numerical values of the properly normalized third- and HOD parameters. Our extensive numerical solutions show that all odd HOD terms generate a single peak on the blue or the red side of the carrier frequency, depending on the sign of the corresponding term. In contrast, positive even HOD terms create conjugate DW peaks, in both the blue and red sides. No radiation is observed for negative values of these parameters. The combination of all even and odd HOD coefficients may generate more than two DW peaks for some specific choice of parameters. The results predicted by the phase-matching condition agree well with extensive numerical simulations revealing interesting facts of SC generation.
机译：色散波（DW）是由于超连续谱（SC）生成过程中高阶色散（HOD）和非线性引起的孤子扰动而产生的。这些波的频率由多​​项式形式的相位匹配条件控制，该多项式的系数取决于正确归一化的第三和HOD参数的数值。我们广泛的数值解决方案表明，所有奇数HOD项都会根据相应项的符号在载波频率的蓝色或红色侧生成一个峰值。相反，正偶数HOD项在蓝色和红色侧均会产生共轭DW峰。这些参数的负值未观察到辐射。对于某些特定的参数选择，所有偶数和奇数HOD系数的组合可能会产生两个以上的DW峰值。由相位匹配条件预测的结果与广泛的数值模拟非常吻合，揭示了SC生成的有趣事实。

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