Renninger William H, Chong Andy, Wise Frank W
Department of Applied Physics, Cornell University, Ithaca, New York 14853, USA.
J Opt Soc Am B. 2010 Oct 1;27(10):1978-1982. doi: 10.1364/JOSAB.27.001978.
Soliton area theorems express the pulse energy as a function of the pulse shape and the system parameters. From an analytical solution to the cubic-quintic Ginzbug-Landau equation, we derive an area theorem for dissipative optical solitons. In contrast to area theorems for conservative optical solitons, the energy does not scale inversely with the pulse duration, and in addition there is an upper limit to the energy. Energy quantization explains the existence of, and conditions for, multiple-pulse solutions. The theoretical predictions are confirmed with numerical simulations and experiments in the context of dissipative soliton fiber lasers.
孤子面积定理将脉冲能量表示为脉冲形状和系统参数的函数。通过对立方-五次金兹堡-朗道方程的解析解，我们推导出了耗散光学孤子的面积定理。与保守光学孤子的面积定理不同，能量与脉冲持续时间并非成反比，此外能量还有一个上限。能量量子化解释了多脉冲解的存在及其条件。在耗散孤子光纤激光器的背景下，通过数值模拟和实验证实了理论预测。
