Carvalho Luis Alberto, Castro Jarbas C
Grupo de Optica, Instituto de Física de São Carlos, Universidade de São Paulo, Brazil.
Optom Vis Sci. 2006 Feb;83(2):108-18. doi: 10.1097/01.opx.0000200675.61338.42.
The hardware and software of a novel wavefront sensor was developed (The sensor presented here is patent pending.). It has the same principal of the Hartmann-Shack (HS) and other sensors that are based on slope information for recovery of wavefront surface, but a different symmetry, and does not use individual microlenses. This polar symmetry might offer differences during practical measurements that may add value to current and well-established "gold standard" techniques.
The sensor consists of a set of concentric "half-donut" surfaces (longitudinally sectioned toroids) molded on an acrylic surface with a CCD located at the focal plane. When illuminated with a plane wavefront, it focuses a symmetric pattern of concentric discs on the CCD plane; for a distorted wavefront, a nonsymmetric disc pattern is formed (similar to images of a placido-based videokeratographer). From detection of shift in the radial direction, radial slopes are computed for a maximum of 2880 points, and the traditional least-squares procedure is used to fit these partial derivatives to a set of 15 conventional OSA-VSIA Zernike polynomials. Theoretical computations for several synthetic surfaces containing low-order aberration (LOA) and high-order aberration (HOA) were implemented for both the HS and the new sensor.
Root mean square error (RMSE) in microns when theoretical data was taken as control, for HS sensor and new sensor, was 0.02 and 0.00003 for LOA (defocus, astigmatism) and 0.07 and 0.06 for HOA (coma, spherical, and higher terms), respectively. After this, practical preliminary measurements on a mechanical eye with a 5-mm pupil and 10 different defocus aberrations ranging from -5 D to 5 D, in steps of 1 D, were compared between sensors. RMSE for difference in measurements for HS and new sensor for sphere, cylinder, and axis, was 0.13 D, 0.07 D, and 11. Measurements were taken only on defocus aberrations. Qualitative images for astigmatism are shown.
Although practical in vivo tests were not conducted in this first study, we also discuss certain possible alignment differences that may arise as a result of the different symmetry of the new sensor. To take any conclusive assumption regarding the accuracy and/or precision of this new sensor, when compared with other well-established sensors, statistically significant in vivo measurements will need to be conducted.
开发了一种新型波前传感器的硬件和软件(此处展示的传感器正在申请专利)。它与哈特曼-夏克(HS)以及其他基于斜率信息来恢复波前表面的传感器原理相同,但对称性不同,且不使用单个微透镜。这种极性对称在实际测量中可能会产生差异,这或许能为当前成熟的“金标准”技术增添价值。
该传感器由一组模制在丙烯酸表面的同心“半圆环”表面(纵向剖切的环面)组成,在焦平面处设有一个电荷耦合器件(CCD)。当用平面波前照明时,它会在CCD平面上聚焦出同心圆盘的对称图案;对于畸变的波前,则会形成非对称的圆盘图案(类似于基于普拉西多盘的角膜地形图仪的图像)。通过检测径向方向上的偏移,最多可计算出2880个点的径向斜率,并使用传统的最小二乘法程序将这些偏导数拟合到一组15个传统的美国光学学会 - 视觉科学与仪器协会(OSA - VSIA)泽尼克多项式上。针对包含低阶像差(LOA)和高阶像差(HOA)的几个合成表面,对HS传感器和新传感器都进行了理论计算。
以理论数据作为对照时,HS传感器和新传感器在低阶像差(散焦、散光)方面的均方根误差(RMSE)以微米为单位分别为0.02和0.00003,在高阶像差(彗差、球差及更高阶项)方面分别为0.07和0.06。在此之后,对一个瞳孔直径为5毫米且有10种不同散焦像差(范围从 -5 D到5 D,步长为1 D)的机械眼进行了实际初步测量,并在两种传感器之间进行了比较。HS传感器和新传感器在球镜度、柱镜度和轴位测量差异方面的RMSE分别为0.13 D、0.07 D和11。测量仅针对散焦像差进行。还展示了散光的定性图像。
尽管在这项初步研究中未进行实际的体内测试,但我们也讨论了由于新传感器不同的对称性可能产生的某些可能的对准差异。要对这种新传感器与其他成熟传感器相比的准确性和/或精度做出任何确凿的假设,还需要进行具有统计学意义的体内测量。