球差透镜聚焦部分相干光束获得局域空心光束

基于Collins公式,研究了空间相干度为零阶贝塞耳函数的部分相干光通过球差透镜后在几何焦平面附近的光强分布情况.研究表明,通过改变部分相干光的光谱相干度,球差系数可以得到平顶光束和局域空心光束.球差系数决定了最佳聚焦点的位置.当球差系数为正时,最佳聚焦点随着球差系数的增大向远离透镜的方向运动,甚至超过几何焦点;当球差系数为负时,最佳聚焦点随着球差系数绝对值的增大向靠近透镜方向移动.另外,在正负球差绝对值相等时,光强分布以几何焦点相对称.

Generation of Bottle Beams Through Focused Partially Coherent Lights by a Lens with Spherical Aberration

Based on the Collins formula, the beam intensity distribution in the neighborhood of the geometrical focus of the partially coherent beams which spatial degree of coherence is Bessel function of zero order passing through lens with spherical aberration, were investigated. The research result shows that flat-topped beams or bottle beams can be acquired by changing spectral degree of coherence or spherical aberration coefficient. The best focal point is determined by the spherical aberration coefficient, and will shift away from the lens with the accretion of positive spherical aberration coefficient, even exceed the geometrical focal point. However, the best focal point would shift towards the lens with accretion of absolute value of negative spherical aberration coefficient. Moreover, The intensity distribution can be binary symmetry when the positive spherical aberration coefficient is equal to the absolute value of negative spherical aberration coefficient.