• Acta Photonica Sinica
  • Vol. 45, Issue 3, 322001 (2016)
TIAN Lin*, LU Li-jun, and CAO Yi-qing
Author Affiliations
  • [in Chinese]
  • show less
    DOI: 10.3788/gzxb20164503.0322001 Cite this Article
    TIAN Lin, LU Li-jun, CAO Yi-qing. Calculation of Modulation Transfer Function of Fisheye Lens with the Wavefront Aberration Theory[J]. Acta Photonica Sinica, 2016, 45(3): 322001 Copy Citation Text show less

    Abstract

    Based on the aberration theory of plane symmetric optical systems, the expressions of each type of wave aberration of fisheye lens were formulated. The autocorrelation integral was used to calculate the modulation transfer function of the fisheye lens. The 8-node Gauss-Legendre integral was applied to solve the complicated integral. On the other hand, the phase change value of a grating of certain spatial frequency resulted from the lateral color aberration was analyzed, the expression of the modulation transfer function of the lateral color aberration with discrete spectral of C(656.3 nm), D(589.3 nm), F(486.1 nm) light was derived. Finally, the proposed method was used to calculate the modulation transfer function curves of two fisheye lens systems; and the results were compared with those obtained by Zemax program. The study results show that the proposed method is valid for calculation of a fisheye lens with a moderate/small pupil.
    TIAN Lin, LU Li-jun, CAO Yi-qing. Calculation of Modulation Transfer Function of Fisheye Lens with the Wavefront Aberration Theory[J]. Acta Photonica Sinica, 2016, 45(3): 322001
    Download Citation