Universidad Politécnica de Tulancingo, Tulancingo, Hidalgo, Mexico.
Dept. Física Aplicada, Facultade de Óptica e Optometría, Universidade de Santiago de Compostela, Santiago de Compostela, Spain.
Ophthalmic Physiol Opt. 2024 Nov;44(7):1552-1560. doi: 10.1111/opo.13389. Epub 2024 Sep 9.
Investigations into the correction of presbyopia have considered lens design, clinical implications and the development of objective metrics such as the visual Strehl ratio. This study investigated the Jacobi-Fourier phase mask as an ophthalmic element in the correction of presbyopia. The goal was to develop a contact or intraocular lens whose performance was largely insensitive to changes in pupil diameter.
Numerical simulations based on Fourier optics were performed to evaluate three different Jacobi-Fourier polynomials, with the aim of providing a range of clear vision (1 Dioptre (D)). Performance was evaluated for three pupil sizes (6, 4 and 2 mm), while polychromatic images were simulated using three different wavelengths (656.3, 587.6 and 486.1 nm). The Neural Transfer function was included in the simulation. To validate the method and results, we used the Visual Strehl combined objective metric (VS) currently used in visual optics. This metric gives more weight to the phase transfer function and is more suitable for non-symmetrical phase functions.
Numerical validation showed the suitability of the Jacobi-Fourier phase masks for extending the range of clear vision of presbyopic eyes, providing a visual acuity of at least 0.10 logMAR (6/7.5 Snellen) at all distances between 1 and 6 m. The results show a range of clear vision of 1D was not affected by changes in pupil size, an increase in retinal image contrast accompanied by image artefact reduction by increasing the radial order of the Jacobi-Fourier phase mask and a reduction of wavelength dependence of the retinal images. These results are supported by simulated images and the objective criterion VS.
The use of Jacobi-Fourier phase masks as ophthalmic elements for presbyopic correction show promising results, with a good range of clear vision and reduced dependence on pupil size and chromatic aberration.
针对老视的矫正，已经有研究涉及到镜片设计、临床影响以及视觉斯特列尔比等客观指标的发展。本研究探讨了雅可比-傅里叶相位掩模作为矫正老视的眼科元件。目标是开发一种接触镜或眼内透镜，其性能在很大程度上不受瞳孔直径变化的影响。
基于傅里叶光学的数值模拟用于评估三种不同的雅可比-傅里叶多项式，旨在提供一系列清晰的视力（1 屈光度（D））。针对三种瞳孔大小（6、4 和 2mm）进行了性能评估，同时模拟了三种不同波长（656.3、587.6 和 486.1nm）的多色图像。模拟中包含了神经传递函数。为了验证方法和结果，我们使用了目前在视觉光学中使用的视觉斯特列尔综合客观指标（VS）。该指标更注重相位传递函数，更适合非对称相位函数。
数值验证表明，雅可比-傅里叶相位掩模适合扩展老视眼清晰视力的范围，在 1 至 6m 之间的所有距离上提供至少 0.10 logMAR（6/7.5 视力表）的视力。结果表明，清晰视力范围为 1D 不受瞳孔大小变化的影响，视网膜图像对比度增加，同时通过增加雅可比-傅里叶相位掩模的径向阶数降低图像伪影，减少视网膜图像对波长的依赖性。这些结果得到了模拟图像和客观标准 VS 的支持。
将雅可比-傅里叶相位掩模用作老视矫正的眼科元件具有广阔的前景，具有良好的清晰视力范围，并且对瞳孔大小和色差的依赖性降低。
