含多阶涡旋的无衍射阵列光束的设计

Design of Diffractive Array Beams with Multiorder Vortices

涡旋在光学领域一直有很广泛的应用价值,光学微操纵技术,自由空间的光通信,以及光学测量技术都用到了涡旋光.而高阶涡旋光和阵列涡旋光更是对粒子的批量自组装具有高效的作用,但以往的论文设计出的高阶涡旋光只局域在很小的传播范围(10^(-6)m),所以几乎没有应用价值.本文从理论上设计了含高阶涡旋的阵列涡旋无衍射光场,这种光场的无衍射传播距离大约在30cm左右.在数学上通过傅里叶变换方法推导了阵列涡旋无衍射光场的数学表达式,用数值模拟的方法得到了涡旋阵列光场,实验上利用空间光调制器(SLM)得到了多阶涡旋阵列光场.此外,我们还测量了这种多阶阵列涡旋光场的无衍射距离.本文的研究在光学微操纵,粒子批量自组装等领域具有应用价值.

vortex has been widely used in optical field.Optical micro-manipulation techniques,optical communication in free space,and optical measurement techniques all use vortex light.The high-order vortex light and array vortex light have more efficient effect on the bulk self-assembly of particles.However,the high-order vortex light designed in previous papers is only localized in a small propagation range(10^-6 m),so it has little application value.In this paper,the array vortex beam with high-order vortex is designed theoretically by us,and the propagation distance of this light field is about 30cm.The mathematical expression of array vortex diffraction free optical field is derived with Fourier transform.The optical field of vortex array is obtained by numerical simulation.High-order vortex lattice light field was obtained experimentally by using spatial light modulator(SLM).In addition,the diffraction free distance of the high-order lattice vortex field was measured.The research in this paper has application value in optical micro-manipulation,particle self-assembly and other fields.