Complex Swift Hohenberg equation (CSHE) has attracted intensive research interest over the years, as it enables realistic modeling of mode-locked lasers with saturable absorbers by adding a fourth-order term to the spectral response. Many researchers have reported a variety of numerical solutions of CSHE which reveal interesting pulse patterns and structures. In this work, we have demonstrated a CSHE dissipative soliton fiber laser experimentally using a unique spectral filter with a complicated transmission profile. The behavior and performance of the laser agree qualitatively with the numerical simulations based on CSHE. Our findings bring insight into dissipative soliton dynamics and make our mode-locked laser a powerful testbed for observing dissipative solitons of CSHE, which may open a new course in ultrafast fiber laser research.

中文翻译：

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复 Swift Hohenberg 方程耗散孤子光纤激光器

多年来，复杂的 Swift Hohenberg 方程 (CSHE) 引起了广泛的研究兴趣，因为它可以通过向光谱响应添加四阶项来对具有可饱和吸收体的锁模激光器进行真实建模。许多研究人员报告了 CSHE 的各种数值解，揭示了有趣的脉冲模式和结构。在这项工作中，我们使用具有复杂传输曲线的独特光谱滤波器，通过实验证明了 CSHE 耗散孤子光纤激光器。激光器的行为和性能与基于 CSHE 的数值模拟定性一致。我们的发现带来了对耗散孤子动力学的深入了解，并使我们的锁模激光器成为观察 CSHE 耗散孤子的强大测试平台，这可能为超快光纤激光器研究开辟新的道路。