无衍射光束簇

波动方程在笛卡尔坐标系、圆柱坐标系、椭圆柱坐标系及抛物线坐标系下可求得无衍射解,分别是余弦(Cos)光束、贝塞尔(Bessel)光束、马蒂厄(Mathieu)光束和抛物线(Parabolic)光束,它们组成了无衍射光束家族(又称亥姆霍兹光束).介绍这4种光束的具体表达式及光强分布图和自重建过程.最后,对4种无衍射光束进行比较,总结了无衍射光束的应用热点,并展望未来.

Family of Non-Diffractting Beam

Non-diffraction solutions of wave equation can be obtained in Cartesian coordinates, cylindrical coordinates, elliptical cylindrical coordinates and parabolic coordinates, those are Cos(Cosine)beam, Bessel beam, Mathieu beam and Parabolic beam, and they make up the non-diffracting family(also known as Helmholtz beam). In this article, we introduce their specific expression, beam intensity distribution and self-reconstruction process. At last the four non-diffracting beam were compared to each other, and we sum up the hot applications of the diffraction-free beam and look to the future.