Based on a parabolic coordinate system, we theoretically design and experimentally generate hybridly polarized vector optical fields with parabolic symmetry of the first and second kinds, which can further enrich the family of vector optical fields. The wavefront of this new-kind vector optical field contains circular, elliptic and linear polarizations, and the polarizations can keep the same or change along the parabolic curves. Then we present the realization of tunable focal shift with the hybridly polarized vector optical field, and show a specific law of the focal shift of the focused hybridly polarized vector optical field with the parabolic symmetry. We hope these results can provide a new way to flexibly modulate focal fields, which can be applied in realms such as optical machining, optical trapping and information transmission.

基于抛物线坐标系，我们从理论上设计并实验生成了具有第一类和第二类抛物线对称性的混合偏振矢量光场，进一步丰富了矢量光场族。这种新型矢量光场的波前包含圆偏振、椭圆偏振和线偏振，偏振可以保持不变，也可以沿抛物线变化。然后给出了混合偏振矢量光场可调焦移的实现，并给出了具有抛物线对称性的聚焦混合偏振矢量光场的焦移的具体规律。我们希望这些结果可以提供一种灵活调制焦场的新方法，可应用于光学加工、光捕获和信息传输等领域。