Chapter 36
Refractive Exam
First of all we have to get the patient’s visual acuity, uncorrected and corrected, as well as his subjective refraction, undilated and with cycloplejic.
Zywave Aberrometer
Optical Aberrations
All through the study of the human eye, optical aberrations have been attracting a continuous interest. In the beginning, some systems based on subjective ray tracing were developed, like the Foucault test and modified aberroscopes.(1-4) Further on, an objective wavefront sensor was developed: the Hartmann-Shack wavefront sensor.(5)
Zywave is an advanced wave-front sensor based on the Hartmann-Shack principle that provide us with a precise and fast test of the aberrations of the eye.
To understand how the Zywave works, we should know something about the optical aberrations of the eye and its influence on retinal image quality. Optical aberrations can be divided into chromatic aberrations and monochromatic aberrations.(6)
Chromatic Aberration: Lenses bring different colors of light to a focus at different points.
Monochromatic Aberrations
Spherical aberration: A spherical lens does not focus paralel rays to a point, but along a line. In this way, off-axis rays are brought to a focus closer to the lens than are on-axis rays. This is also applicable to spherical mirrors.
Astigmatism: A lens has different focal lenghts for rays of different orientations, resulting in a distortion of the image. Rays of light from the different meridians in a plane of the object are not focused to the same plane on the edges of the image.
Coma: Off-axis rays do not quite converge at the focal plane. Coma is positive when off-axis rays focus furthest from the axis, and negative when they are closest.
Distortion: The transverse magnification may be a function of the off-axis image distance. It can be positive (pin-cushion), or negative (barrel).
Field curvature (Petzval field curvature): It is caused because the focal plane is actually not planar, but spherical.
To know how these different aberrations have an effect on the eye one must have in mind two important terms: the Zernike polynomials and the Point Spread Function.
The Zernike polynomials are a widely used method in optics to describe wavefront aberrations.(7) The aberration function ___n__m __is expanded as follows :
___n,m)= __ ___abcA Zc |
(_nm,_nm) |
(1) |
ac |
b |
|
a,b?0,c |
|
|
a-/c/even
where __abc refers to the maximal optical path difference of the lens mesured in units of wavelenght, while the factor Aac is determined by the object location (rocos _o, ro sin _o) and the orientation of the incident wavevector is given by the polar coordinates
(_nm , _nm).
We can descompose eye’s aberrations into Zernike polynomials up to tenth order.(7,8) The firstorder Zernike modes are the linear terms (corresponding to tilt). The second-order modes correspondes to the familiar aberrations, defocus and astigmatism. The third-order modes represents coma aberrations. The fourth-order contains spherical aberrations and other modes. The fifth to tenth-orders are the higherorder, irregular aberrations (they include trifoil, tetrafoil,...) (Fig. 36-2).
It has been proved that aberrations corresponding to fifth to tenth orders do not play a significant role in image quality, mainly for small pupils.(8)