全息象散与全息柱面镜

Astigmatism in holgram and holographic cylinderical lens

本文首先从准菲涅耳近似Ｆ轴外点光源的复振幅分布出发，讨论了全息成象中出现轴上点象散的原因，提出了全息主焦距的概念，讨论了象散与全息图记录参数的关系，所得结论对全息显示和全息光学元件的制造具有实用意义。另外，分析了用两束球面波记录全息柱面镜的可能性，制造了一个象散达８５．１９ｍｍ的全息正交柱面镜，并进行了测量，结果与理论计算基本一致，从而肯定了用球面波记录全息柱面镜的可行性。

From the complex amplitude distribution function of off-axis point light source under the quasi-Fresnel approximation , the phenominon of on -axis astigmatism in holography is explained and the holographic Young’s formula is con-cisely derived, a new conception of holographic principal focal lengths is proposed and the relationship between the astigmatism and the recording parameters is dis-ussed,the final conclusion may be hlpful to holographic recording and holographic optical element making, Finally, the possibility of making holographic cylinderical lens by use of two spherical light beams is analysed,a holohgraphic cylinderical lens with astigmatism up to 85.19mm has been made and tested,the experimental result is conincident with theoretical calculation,it shows that making holographic cylin-derical lens using general spherical beams is praticable.