# [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] 点击复制 波前像差引导的激光眼屈光手术中角膜切削模型() 分享到： var jiathis_config = { data_track_clickback: true };

34

2004年第5期

585-588

2004-09-20

## 文章信息/Info

Title:
Mathematical models for wavefront-guided refractive corneal surgery

Author(s):
College of Mechanical & Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Keywords:

R779.63;R778.1
DOI:
10.3969/j.issn.1001-0505.2004.05.006

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).

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