Jacobi–Fourier phase masks as ophthalmic elements to correct presbyopia

Abstract

Purpose: Presbyopia correction involves studies such as lens design, clinical study, and the development of objective metrics, such as the visual Strehl ratio. We will analyze the potential use of the Jacobi-Fourier phase mask (JFPM) as an ophthalmic element for Presbyopia correction. This fact, to develop a contact or intraocular lens whose performance is nearly insensitive to changes in pupil diameter.

Methods: Numerical simulations based on Fourier Optics were made to evaluate three different Jacobi-Fourier polynomials of different radial order with the aim of providing a range of clear vision of one diopter. The performance was evaluated in three different pupil sizes (6, 4, 2) mm. Polychromatic images were simulated using three different wavelengths (656.3 nm, 587.6 nm and 486.1 nm). The Neural Transfer function was included in the simulation. We used the VScombined, as objective metric currently used in visual optics.

Results: The results show that Jacobi-Fourier Polynomials are suitable for designing optical solutions for presbyopia.

Conclusions: The use of Jacobi-Fourier phase masks as ophthalmic elements for presbyopia show promising results, with good range of clear vision, reduced pupil dependence and chromatic aberration.