Calossi Antonio
J Refract Surg. 2007 May;23(5):505-14. doi: 10.3928/1081-597X-20070501-15.
To summarize the various values of asphericity in different notations and present how corneal asphericity, corneal curvature, and entrance pupil diameter influence the longitudinal spherical aberration of the anterior corneal surface.
After the conversion factors between the different asphericity notations were described, finite ray tracing through a conic section that models the anterior cornea profile was performed. The anterior cornea was given a range of curvatures and asphericities and a range of entrance pupil diameters.
If the value of asphericity remains constant, longitudinal spherical aberration increases with the square of the entrance pupil diameter. If the pupil diameter remains fixed, the spherical aberration becomes a function of the value of asphericity, the refractive index, and the radius of curvature. If the refractive index, pupil diameter and asphericity are considered constant, the spherical aberration will decrease if the corneal surface flattens and increase as the cornea becomes steeper. In this way, with the same shape factor and with the same starting apical radius, longitudinal spherical aberration became a function of the surgically induced refractive change. With equal curvature, the longitudinal spherical aberration becomes negative if the surface is more prolate than perfect Cartesian oval; it will become positive if it is less prolate, spherical, or oblate.
A conversion chart for corneal asphericity notations with the corresponding spherical aberration and a diagram reporting values of asphericity necessary to maintain the physiological value of the corneal spherical aberration after refractive procedures may be useful tools in corneal surgery.
总结不同表示法中非球面性的各种数值,并阐述角膜非球面性、角膜曲率和入瞳直径如何影响角膜前表面的纵向球差。
在描述不同非球面性表示法之间的转换因子后,对模拟角膜前表面轮廓的圆锥曲线进行有限光线追迹。赋予角膜前表面一系列曲率和非球面性以及一系列入瞳直径。
如果非球面性的值保持恒定,纵向球差随入瞳直径的平方增加。如果瞳孔直径保持固定,球差成为非球面性值、折射率和曲率半径的函数。如果认为折射率、瞳孔直径和非球面性恒定,角膜表面变平则球差减小,角膜变陡则球差增加。这样,在相同形状因子和相同起始顶点半径的情况下,纵向球差成为手术诱导屈光变化的函数。曲率相等时,如果表面比完美笛卡尔椭圆更扁平,则纵向球差为负;如果更扁平、呈球形或椭圆形,则纵向球差为正。
角膜非球面性表示法与相应球差的转换图表以及报告屈光手术后维持角膜球差生理值所需非球面性值的图表,可能是角膜手术中的有用工具。