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信息光学视角下菲涅耳双棱镜干涉的研究

张颖涛 李洪国

张颖涛, 李洪国. 信息光学视角下菲涅耳双棱镜干涉的研究[J]. 中国光学(中英文), 2019, 12(1): 122-129. doi: 10.3788/CO.20191201.0122
引用本文: 张颖涛, 李洪国. 信息光学视角下菲涅耳双棱镜干涉的研究[J]. 中国光学(中英文), 2019, 12(1): 122-129. doi: 10.3788/CO.20191201.0122
ZHANG Ying-tao, LI Hong-guo. Investigation of Fresnel biprism interference from the perspective of information optics[J]. Chinese Optics, 2019, 12(1): 122-129. doi: 10.3788/CO.20191201.0122
Citation: ZHANG Ying-tao, LI Hong-guo. Investigation of Fresnel biprism interference from the perspective of information optics[J]. Chinese Optics, 2019, 12(1): 122-129. doi: 10.3788/CO.20191201.0122

信息光学视角下菲涅耳双棱镜干涉的研究

doi: 10.3788/CO.20191201.0122
基金项目: 

国家自然科学基金项目 11604243

天津市自然科学基金项目 16JCQNJC01600

详细信息
    作者简介:

    张颖涛(1979-), 女, 河南临颍人, 硕士, 讲师, 主要从事量子光学和信息光学方面的研究。E-mail:zhangyingtao@tjut.edu.cn

    李洪国(1981—),男,山东冠县人,博士,副教授,主要从事信息光学、量子成像、关联成像方面的研究。E-mail:lihongguo@tjut.edu.cn

  • 中图分类号: O438.2

Investigation of Fresnel biprism interference from the perspective of information optics

Funds: 

National Natural Science Foundation of China 11604243

Natural Science Foundation of Tianjin 16JCQNJC01600

More Information
  • 摘要: 菲涅耳双棱镜干涉在相衬成像和全息显微术中有重要应用。为了促进其应用,本文从信息光学角度研究双棱镜干涉,首先利用光场与脉冲响应函数之间的关系,理论导出了菲涅耳双棱镜干涉条纹强度公式,分析并讨论了狭缝缝宽及狭缝到双棱镜距离对菲涅耳双棱镜干涉条纹的影响,狭缝宽度大于0.1 mm时,干涉条纹分辨率变差。接着给出了改变狭缝宽度(变化量为0.08 mm)和改变狭缝到双棱镜的距离(从8 cm变化到12 cm)的实验结果,理论分析和实验结果一致。该结果有助于促进菲涅耳双棱镜干涉在相衬成像等领域的应用。

     

  • 图 1  菲涅耳双棱镜干涉示意图

    Figure 1.  Scheme of Fresnel biprism interference

    图 2  不同缝光源宽度条件下的菲涅耳双棱镜干涉条纹,右列为左列对应的一维图

    Figure 2.  Interference fringes of Fresnel biprism under different widths of slit light source, (Left Column:Two-Dimensional Patterns, Right Column:the corresponding 1D fringes)

    图 3  不同z1(狭缝到双棱镜的距离)条件下的干涉条纹,右列为左列对应的一维图

    Figure 3.  Interference fringes of Fresnel biprism under different z1(the distance between single-slit and biprism), (Left Column:Two-Dimensional Patterns, Right Column:the corresponding 1D fringes)

    图 4  干涉条纹强度分布.右列为左列对应的一维图,(a)含有常数项, (b)不含常数项

    Figure 4.  Intensity distributions of the interference fringe, Left Column:Two-Dimensional Patterns, Right Column:the corresponding 1D fringes. (a) and (b) are the corresponding results for that including the constant item and neglecting constant item of intensity, respectively

    图 5  干涉条纹图:(a)合适狭缝宽度; (b)狭缝宽度增加0.02 mm; (c)狭缝宽度增加0.08 mm

    Figure 5.  Interference patterns, (a), (b) and (c) are the corresponding results at suitable slit-width, slit-width increasing by 0.02 mm and 0.08 mm, respectively

    图 6  干涉条纹图(a)狭缝到双棱镜距离8 cm (b)狭缝到双棱镜距离12 cm

    Figure 6.  Interference patterns, (a) and (b) are the corresponding results at the distance from the slit to biprism of 8 cm and 12 cm, respectively

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出版历程
  • 收稿日期:  2018-06-29
  • 修回日期:  2018-08-20
  • 刊出日期:  2019-02-01

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