General modulation transfer function fitting equation for human eye with contact lens


  • Faten Shakor Zainulabdeen Department of Physics, College of Education, Mustansiriyah University, Baghdad, Iraq
  • Mohammed A. Hussein Department of Electrical Engineering, University of Technology, Baghdad, Iraq
  • Ali H. AL-Hamdani Laser and Optoelectronics Engineering Department, University of Technology, Baghdad, Iraq



Contact lenses, Eye vision, MTF, Fitting equation, Image analysis.


In this research, a general equation was derived to represent the modulation transfer function (MTF) of the human eye with the presence of the contact lenses (CL) and during the vision with monochrome or multi-wavelength (polychromatic) light. This equation was used to fit the MTF’s curves for the eye with pupil diameters (EPD) (2.5, 4, 6, and 8 mm). The fitting equation accuracy was revealed by using the standard deviation (STD). The results indicated that the image MTF is sensitive to (EPD). Moreover, eye vision degrades as (EPD) increases due to the increased spherical and chromatic aberrations. The new equation consists of two exponential terms in addition to a correction polynomial function (H) to fit the EPD effect. The results showed that H function with power two is sufficient to give a good accuracy when the EPD is less than 4 mm, while H with power five is necessary when the EPD is larger or equal to 5 mm.  Also, it is clear that the equation gives a high accuracy also in the case of vision with white light for the eye with the contact lens.


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