Alkelly Abdu A, Shukri M, Alarify Y S
Physics Department, Faculty of Science, Sana’a University, Sana’a, Yemen.
J Opt Soc Am A Opt Image Sci Vis. 2012 Apr 1;29(4):417-25. doi: 10.1364/JOSAA.29.000417.
The effects of twist phenomenon (beam rotation) of a partially coherent field are studied on the operation of two classes of uniform-intensity diffractive axicons. A general theory of axicon image formation is developed, discussed, and examined. We show that the intensity of the diffracted field is a multiple Bessel field, and only the energy of the zero-order Bessel field diffracts along the propagation axes. We also show that, at any twist strength in all correlation levels, the images can be evaluated by using the stationary-phase method. The three-dimensional stationary-phase formula of axicon images is derived. Such formula may be used in fast image evaluation, for designing diffractive axicons that perform a uniform axial intensity in a twisted partially coherent field.
研究了部分相干场的扭曲现象（光束旋转）对两类均匀强度衍射轴棱锥操作的影响。发展、讨论并检验了轴棱锥成像的一般理论。我们表明，衍射场的强度是多重贝塞尔场，并且只有零阶贝塞尔场的能量沿传播轴衍射。我们还表明，在所有相关水平的任何扭曲强度下，都可以使用驻相法来评估图像。推导了轴棱锥图像的三维驻相公式。该公式可用于快速图像评估，用于设计在扭曲的部分相干场中实现均匀轴向强度的衍射轴棱锥。
