Qusailah Mohammad S, Alkelly Abdu A, Al-Nadary H O, Kaid Shukri A M, Al-Ahsab Hassan T
Appl Opt. 2024 Apr 20;63(12):3138-3147. doi: 10.1364/AO.520732.
Using the extended Huygens-Fresnel principle, a cross-spectral density formula was developed for a Gaussian Schell model vortex (PCGSMV) beam diffracted through a lensacon (lens with an axicon). The intensity and depth of focus (DOF) shaped by the lensacon were calculated. Our numerical results show the relationship between the intensity distribution and depth of focus with the beam waist width as well as the spatial correlation of the coherence length. Furthermore, the relationship between the beam spot size and propagation distance was investigated. In the case of the lensacon tandem, the maximum intensity was greater than that attained by the axicon alone for the same beam parameters, and the DOF was smaller than that of the axicon alone. The vortex structure canceled out the low value of the spatial degree of coherence length. Our numerical model exhibited high-intensity values and high-quality Bessel rings along the DOF, which are critical for various applications.
利用扩展的惠更斯-菲涅耳原理，推导了高斯谢尔模型涡旋（PCGSMV）光束通过透镜-锥镜（带有轴棱锥的透镜）衍射的交叉谱密度公式。计算了由透镜-锥镜形成的强度和焦深（DOF）。我们的数值结果表明了强度分布和焦深与束腰宽度以及相干长度的空间相关性之间的关系。此外，还研究了束斑尺寸与传播距离之间的关系。在透镜-锥镜串联的情况下，对于相同的光束参数，最大强度大于单独使用轴棱锥时的强度，并且焦深小于单独使用轴棱锥时的焦深。涡旋结构抵消了空间相干长度的低值。我们的数值模型在焦深上呈现出高强度值和高质量的贝塞尔环，这对于各种应用至关重要。
