摘要
基于柯林斯积分公式导出了异常空心光束在梯度折射率介质中的传输公式,给出了二阶矩定义下的光束宽度解析表达式.通过数值计算研究了异常空心光束在梯度折射率介质中及穿过介质后传输的强度分布和束宽变化的特性.结果表明,梯度折射率介质中的轴上光强分布、归一化的光强分布、光束剖面形状和光束宽度随着传输距离和梯度折射率系数变化呈周期性的变化,且梯度折射率系数越大,其变化速率越快.
Based on the Collins formula,the analytical formula of anomalous hollow beam propagation in a gradientindex medium is derived.and the analytical expression of the beam width is also presented under the second-order moment of the intensity distribution.The change properties of the intensity distribution and the beam width of anomalous hollow beam in gradient index medium are studied by numerical calculations.The results show that,the on-axis intensity distribution,the normalized intensity distribution,the beam profile and the beam width of anomalous hollow beam propagating in the gradient-index medium vary periodically with the transmission distance changes.And the gradient-index coefficient is bigger,its rate of change is more quickly.
出处
《杭州师范大学学报（自然科学版）》
CAS
2015年第5期537-543,共7页
Journal of Hangzhou Normal University(Natural Science Edition)
基金
浙江省自然科学基金项目(LY12A04012)
关键词
物理光学
异常空心光束
梯度折射率介质
柯林斯公式
传输特性
physical optics
anomalous hollow beam
gradient-index medium
Collins formula
propagation properties
