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Propagation properties of finite cosh-Airy beams through an Airy Transform Optical System

机译：有限Cosh-Airy光束通过Airy变换光学系统的传播特性

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摘要

In this paper, we have derived the analytical expression for a diffracted finite cosh-Airy beam by an Airy Transform Optical System (ATOS). The obtained output field is expressed as a superposition of finite Airy modes with different weights and decay factors. Numerical examples were performed to illustrate the influence of the scale factor, the parameter associated with cosh-function, in addition to the parameters of the finite Airy mode and the parameters of the ATOS on the generated beam. It is shown that the resulting beam possesses more manipulation degrees of freedom than that corresponding to finite Airy or Gaussian-Airy beams. This investigation is also extended to the cos-Airy beams. The obtained results are consistent with those previously obtained for fundamental Gaussian and Airy beams, and the present study provides a more generalized investigation on the conversion of related Airy beams by an ATOS.
机译：在本文中，我们通过艾里变换光学系统（ATOS）推导了衍射有限Cosh-艾里光束的解析表达式。获得的输出场表示为具有不同权重和衰减因子的有限Airy模的叠加。进行了数值示例，以说明比例系数，与cosh函数相关的参数以及有限Airy模式参数和ATOS参数对生成光束的影响。结果表明，所得光束比对应于有限艾里光束或高斯艾里光束的操纵自由度更高。此研究也扩展到cos-Airy光束。获得的结果与先前获得的基本高斯光束和艾里光束的结果一致，并且本研究对ATOS对相关艾里光束的转换进行了更广泛的研究。

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