Transfer function analysis of the grating atom interferometer

Kazuhiro Hane, Hitomi Takahashi

Research output: Contribution to journalArticlepeer-review


An interference effect of a grating interferometer consisting of three transmission gratings in tandem irradiated incoherently is analysed theoretically by consideration of optical transfer function(OTF). The system OTF has been calculated by varying the normalized image distance, the ratio of grating period to slit width and the ratio of image distance to object distance. Several calculations have been carried out to find the good conditions for a grating atom interferometer. It is revealed that when the ratio of grating period to slit width increases, the value of OTF increases. Moreover, the ratio of image distance to object distance has no influence on the magnitude of OTF, but the length of the interferometer depends on the ratio. The image intensity has been calculated by Fourier series expantion. The results show that image with high contrast is formed if the period of object grating is double of that of pupil grating. The OTF theory has turned out to be useful for designing a grating interferometer.

Original languageEnglish
Pages (from-to)943-947
Number of pages5
JournalSeimitsu Kogaku Kaishi/Journal of the Japan Society for Precision Engineering
Issue number7
Publication statusPublished - 1996
Externally publishedYes


  • Diffraction
  • Grating
  • Incoherent
  • Interferometer
  • Matter wave
  • Optical transfer function

ASJC Scopus subject areas

  • Mechanical Engineering


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