Nonparaxial propagation of flat-topped vortex hollow beam in free space

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• 作者：Dajun Liu ; ^{liudajun@dlmu.edu.cn} ; Xixian Luo ; Guiqiu Wang ; Hongming Yin ; Yaochuan Wang ; ^{ycwang@dlmu.edu.cn}
• 关键词：Flat-topped vortex hollow beam ; Beam propagation ; Rayleigh-Sommerfeld diffraction
• 刊名：Optik - International Journal for Light and Electron Optics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：131
• 期：Complete
• 页码：171-182
• 全文大小：2804 K
• 卷排序：131

文摘

Starting from the vectorial Rayleigh-Sommerfeld integral formulae, the analytical propagation equations of vectorial flat-topped vortex hollow beam in free space are derived. The far-field and paraxial approximation can be treated as special cases of general results. According to the obtained analytical expressions, the nonparaxial propagation, far field propagation and paraxial propagation properties of flat-topped vortex hollow beam are illustrated and analyzed by using numerical examples.