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Numerical simulation and analysis of femtosecond pulse evolution in liquid-core photonic crystal fiber based on adaptive step-size methods

机译：基于自适应步长法的液芯光子晶体光纤飞秒脉冲演化的数值模拟与分析

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摘要

The adaptive step-size methods including conservation quantity error method (CQEM) and local error method (LEM) are described and used to investigate the femtosecond pulse evolution in liquid-core photonic crystal fibers. The efficiency and accuracy of the numerical results obtained from CQEM and LEM in frequency domain (FD) and time domain (TD) are compared and discussed under the fixed numerical parameters respectively. The numerical results represent that LEM has the higher accuracy due to the integration of nonlinear operator that is more efficient than CQEM. The femtosecond pulse evolution in liquid-core photonic crystal fiber is described and analyzed using LEM. Moreover, the influences of the peak power of pulse and length of liquid-core photonic crystal fibers on the supercontinuum generation are also obtained based on LEM-FD. This study is helpful optimizing the numerical process in ultra-short pulse evolution based on adaptive step-size methods.
机译：描述了自适应步长法，包括守恒量误差法（CQEM）和局部误差法（LEM），并用于研究液芯光子晶体光纤中的飞秒脉冲演化。在固定数值参数下，分别比较和讨论了从CQEM和LEM获得的频域（FD）和时域（TD）数值结果的效率和准确性。数值结果表明，由于集成了比CQEM更有效的非线性算子，LEM具有更高的精度。使用LEM描述和分析了液芯光子晶体光纤中的飞秒脉冲演化。此外，基于LEM-FD，还获得了脉冲峰值功率和液芯光子晶体纤维长度对超连续谱的影响。这项研究有助于优化基于自适应步长法的超短脉冲演化的数值过程。

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