The multi-dimensional laser is a fascinating platform not only for the discovery and understanding of new higher-dimensional coherent lightwaves but also for the frontier study of the complex three-dimensional (3D) nonlinear dynamics and solitary waves widely involved in physics, chemistry, biology and materials science. Systemically controlling coherent lightwave oscillation in multi-dimensional lasers, however, is challenging and has largely been unexplored; yet, it is crucial for both designing 3D coherent light fields and unveiling any underlying nonlinear complexities. Here, for the first time, we genetically harness a multi-dimensional fibre laser using intracavity wavefront shaping technology such that versatile lasing characteristics can be manipulated. We demonstrate that the output power, mode profile, optical spectrum and mode-locking operation can be genetically optimized by appropriately designing the objective function of the genetic algorithm. It is anticipated that this genetic and systematic intracavity control technology for multi-dimensional lasers will be an important step for obtaining high-performance 3D lasing and presents many possibilities for exploring multi-dimensional nonlinear dynamics and solitary waves that may enable new applications.

多维激光器是一个令人着迷的平台，不仅对于发现和理解新的高维相干光波，而且对于复杂三维（3D）非线性动力学和孤立波的前沿研究广泛涉及物理、化学、生物学和材料科学。然而，系统地控制多维激光器中的相干光波振荡具有挑战性，并且在很大程度上尚未得到探索。然而，它对于设计 3D 相干光场和揭示任何潜在的非线性复杂性都至关重要。在这里，我们首次利用腔内波前整形技术来遗传利用多维光纤激光器，从而可以操纵多种激光特性。我们证明，通过适当设计遗传算法的目标函数，可以对输出功率、模式轮廓、光谱和锁模操作进行遗传优化。预计这种多维激光器的遗传和系统腔内控制技术将成为获得高性能3D激光的重要一步，并为探索多维非线性动力学和孤立波提供许多可能性，从而实现新的应用。