Completing the Lotmar model for the human eye with the crystalline lens refraction index variation function

In the scientific papers are presented various models for the optical system of the human eye, considered ideal, known by the term of emmetropic eye. Little information can be found regarding the extra-paraxial aberrations of the human eye, like: Spot diagram, transversal aberrations, distribution of light in the image point, aberration of the wavefront and modulation transfer function. This paper presents a synthesis of the most important optical aberrations of the human eye, more precisely the aberration of the wavefront and modulation transfer function (MTF) and a method for the calculation of the refractive index of the crystalline lens, which will lead to ideal aberrations. The mathematical model selected is based on the spherical diopters hypothesis and is limited by diffraction.