准频率简并态的多模涡旋光束
Polygonal vortex beams in quasi-frequency-degenerate states
摘要：
本文首次研究了准频率简并Yb：CALGO激光谐振腔经几何变换后产生的封闭多边形涡旋光束（多边形涡旋光束）。在激光谐振腔的SU（2）简并态附近，对具有三角形、正方形和三角形等特殊图形的具有大轨道角动量的PVB进行了理论研究和实验观察.将QFD态的涡旋光束与SU（2）简并态下的三角形、正方形和平行四边形路径上的孤立点阵列涡旋光束（PSA-VBs）进行了比较。通过调节腔长和泵浦光斑的位置，可以控制PVB或PSA-VB和OAM的光束轮廓形状。模拟和实验结果验证了我们的方法产生PVB的性能，这是一个巨大的潜力，促进新的技术在粒子捕获和光束整形。
英文摘要：
We originally demonstrate the vortex beams with patterns of closed polygons [namely polygonal vortex beams (PVBs)] generated by a quasi-frequency-degenerate (QFD) Yb:CALGO laser resonator with astigmatic transformation. The PVBs with peculiar patterns of triangular, square, and parallelogram shapes carrying large orbital angular momentums (OAMs) are theoretically investigated and experimentally obtained in the vicinity of the SU(2) degenerate states of laser resonator. The PVBs in QFD states are compared with the vortex beams with patterns of isolated spots arrays located on the triangle-, square-, and parallelogram-shaped routes [namely polygonalspots-array vortex beams (PSA-VBs)] under normal SU(2) degenerate states. Beam profile shape of PVB or PSA-VB and OAM can be controlled by adjusting the cavity length and the position of pump spot. The simulated and experimental results validate the performance of our method to generate PVB, which is of great potential for promoting novel technologies in particle trapping and beam shaping.
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