[1]张运海,廖文和,沈建新,等.波前像差引导的激光眼屈光手术中角膜切削模型[J].东南大学学报(自然科学版),2004,34(5):585-588.[doi:10.3969/j.issn.1001-0505.2004.05.006]
 Zhang Yunhai,Liao Wenhe,Shen Jianxin,et al.Mathematical models for wavefront-guided refractive corneal surgery[J].Journal of Southeast University (Natural Science Edition),2004,34(5):585-588.[doi:10.3969/j.issn.1001-0505.2004.05.006]
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波前像差引导的激光眼屈光手术中角膜切削模型()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
34
期数:
2004年第5期
页码:
585-588
栏目:
生物医学工程
出版日期:
2004-09-20

文章信息/Info

Title:
Mathematical models for wavefront-guided refractive corneal surgery
作者:
张运海 廖文和 沈建新 曹正林
南京航空航天大学机电学院, 南京 210016
Author(s):
Zhang Yunhai Liao Wenhe Shen Jianxin Cao Zhenglin
College of Mechanical & Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
关键词:
波前像差 屈光手术 LASIK 数学模型
Keywords:
wavefront aberration refractive surgery LASIK(laser in situ keratomileusis) mathematical model
分类号:
R779.63;R778.1
DOI:
10.3969/j.issn.1001-0505.2004.05.006
摘要:
基于改变角膜厚度可以改变眼屈光系统波前像差的原理,提出了一种矫正眼波前像差的角膜切削模型.首先给出理想参考平面波前和实际波前之间的位置关系,用一个通用的数学模型表示了波前像差; 其次用Zernike多项式系列来描述眼像差结构,将波前像差表示成带权重的Zernike多项式系列累加和的形式; 最后将眼波前像差转换为光程差的形式,用光程差表示了角膜切削厚度,并进一步得出角膜切削厚度同波前像差之间转换的数学模型(像差矫正模型).该像差矫正模型在理论上能矫正包括低阶像差(近视、远视、散光)和高阶像差在内的35项像差.
Abstract:
Based on the relationship between the change of the cornea thickness and optical aberrations, a mathematical model for the correction of wavefront aberration is presented. Firstly, positions of the ideal reference plane-wave and the wavefront are given. The meaning of wavefront aberration is illustrated using a general mathematical model. Then, basic functions of Zernike are used for describing the aberration structure. The wavefront aberration of an eye is described mathematically as the weighted sum of these Zernike basis functions. Finally, the ocular wavefront aberration is transformed into optical path-length difference and the cornea ablation profile is expressed mathematically using this optical path-length difference. Furthermore, a mathematical model for the transfer of wavefront aberration into a corneal ablation profile is given. This corneal ablation model can be used for the correction of both lower-order aberrations(myopia, hyperopia or astigmatism)and higher-order aberrations. Aberrations that can be corrected using this corneal ablation model are theoretically up to seventh order(35 terms).

参考文献/References:

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[2] 张运海,沈建新,廖文和.准分子激光矫正复性近视散光的屈光学机理及应用[J].光学精密工程,2003,11(3):291-295.
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备注/Memo

备注/Memo:
基金项目: 国家计委产业化资助项目(计产业[2002]1329)、江苏省十五高技术研究计划资助项目(BG2002012).
作者简介: 张运海(1975—),男,博士生, zhangyunhaiguan8@163.com; 廖文和(联系人),男,博士,教授,博士生导师,njwho@nuaa.edu.cn.
更新日期/Last Update: 2004-09-20