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衍射微柱透镜聚焦特性的严格电磁分析

Analysis of Diffractive Micro-cylindrical Lenses Based on Rigorous Electromagnetic Model

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【作者】 冯迪严瑛白

【Author】 FENG Di~(**), YAN Ying-bai(Department of Precision Instruments,Tsinghua University,Beijing 100084,China)

【机构】 清华大学精密仪器系清华大学精密仪器系 北京100084北京100084

【摘要】 利用时域有限差分(FDTD)方法作为严格电磁计算模式,分析了有限口径衍射微柱透镜衍射效率与透镜F数的关系。严格分析比较了在不同入射极化波(TE极化和TM极化)情况下,具有不同面型分布(连续面型和8台阶、2台阶量化面型)的微柱透镜衍射效率随透镜F数的变化,并且与传统标量理论进行了比较。结果表明,随着F数的减小,标量理论和严格矢量理论得到的透镜衍射效率之差逐渐加大;在大F数情况,TM极化波入射时微柱透镜的衍射效率要略高于TE极化波入射的情况。

【Abstract】 The rigorous analysis of finite aperture diffractive micro-cylindrical lenses was presented by using a rigorous electromagnetic computational model- the two-dimensional finite-difference time-domain(FDTD) method.Compared with the conventional scalar diffractive theory,the relationship between diffractive efficiency and F-numbers of lenses was analyzed and compared for different incidence polarization waves (TE polarization and TM polarization) and for different profile structures (continuous profiles,8-level profile and 2-level profile).The results show that diffractive efficiency increases with an increasing number of F-numbers and with an increasing number of phase levels,and that the differences between scalar and electromagnetic theory increases with an reducing number of F-number.When F-number is large,diffractive efficiency for TM polarization is a litter larger than that of TE polarization.We believe that these results will be useful to actual applications and academic analysis of diffractive lenses.

【基金】 国家863计划资助项目(816 416 2 3.7)
  • 【文献出处】 光电子·激光 ,Journal of Optoelectronics.laser , 编辑部邮箱 ,2004年02期
  • 【分类号】O436
  • 【下载频次】117
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