Abstract：
BACKGROUND: Ocular magnification and aniseikonia after cataract surgery has been widely ignored in modern cataract surgery. The purpose of this study was to analyse ocular magnification and inter-individual differences in a normal cataract population with a focus on monovision.
METHODS: From a large dataset containing biometric measurements (IOLMaster 700) of both eyes of 9734 patients prior to cataract surgery, eyes were indexed randomly as primary (P) and secondary (S). Intraocular lens power (IOLP) was derived for the HofferQ, Haigis and Castrop formulae for emmetropia for P and emmetropia or myopia (-0.5 to -2 dpt) for S to simulate monovision. Based on the pseudophakic eye model in addition to these formulae, ocular magnification was extracted using matrix algebra (refraction and translation matrices and a system matrix describing the optical property of the entire spectacle corrected or uncorrected eye).
RESULTS: With emmetropia for P and S the IOLP differences (S-P) showed a standard deviation of 0.162/0.156/0.157 dpt and ocular magnification differences yielded a standard deviation of 0.0414/0.0405/0.0408 mm/mrad for the HofferQ/Haigis/Castrop setting. Simulating monovision, the myopic eye (S) showed a systematically smaller mean absolute spectacle corrected ocular magnification than the emmetropic eye (-0.0351/-0.0340/-0.0336, respectively, relative magnification around 2%). If myopia in the S eye remains uncorrected, the reduction of ocular magnification is much smaller (around 0.2-0.3%).
CONCLUSIONS: Vergence formulae for IOLP calculation sometimes implicitly define a pseudophakic eye model which can be directly used to predict ocular magnification after cataract surgery. Despite a strong similarity of both eyes, ocular magnification does not fully match between eyes and the prediction of ocular magnification and aniseikonia might be relevant to avoid eikonic problems in the pseudophakic eye.
METHODS: From a large dataset containing biometric measurements (IOLMaster 700) of both eyes of 9734 patients prior to cataract surgery, eyes were indexed randomly as primary (P) and secondary (S). Intraocular lens power (IOLP) was derived for the HofferQ, Haigis and Castrop formulae for emmetropia for P and emmetropia or myopia (-0.5 to -2 dpt) for S to simulate monovision. Based on the pseudophakic eye model in addition to these formulae, ocular magnification was extracted using matrix algebra (refraction and translation matrices and a system matrix describing the optical property of the entire spectacle corrected or uncorrected eye).
RESULTS: With emmetropia for P and S the IOLP differences (S-P) showed a standard deviation of 0.162/0.156/0.157 dpt and ocular magnification differences yielded a standard deviation of 0.0414/0.0405/0.0408 mm/mrad for the HofferQ/Haigis/Castrop setting. Simulating monovision, the myopic eye (S) showed a systematically smaller mean absolute spectacle corrected ocular magnification than the emmetropic eye (-0.0351/-0.0340/-0.0336, respectively, relative magnification around 2%). If myopia in the S eye remains uncorrected, the reduction of ocular magnification is much smaller (around 0.2-0.3%).
CONCLUSIONS: Vergence formulae for IOLP calculation sometimes implicitly define a pseudophakic eye model which can be directly used to predict ocular magnification after cataract surgery. Despite a strong similarity of both eyes, ocular magnification does not fully match between eyes and the prediction of ocular magnification and aniseikonia might be relevant to avoid eikonic problems in the pseudophakic eye.
摘要：
背景：在现代白内障手术中，白内障手术后的眼部放大和aniseikia已被广泛忽略。这项研究的目的是分析正常白内障人群的眼部放大倍数和个体差异，重点是单视。
方法：从一个包含9734名患者白内障手术前双眼生物特征测量（IOLMaster700）的大型数据集，将眼睛随机索引为原发性（P）和继发性（S）。HofferQ的人工晶状体屈光力（IOLP）得出，Haigis和Castrop公式用于P的屈光不正和S的屈光不正或近视（-0.5至-2dpt）以模拟单视。除了这些公式之外，还基于伪晶状体眼模型，使用矩阵代数（折射和平移矩阵以及描述整个眼镜矫正或未矫正眼睛的光学特性的系统矩阵）提取眼睛放大率。
结果：对于P和S的正视，IOLP差异（S-P）显示出0.162/0.156/0.157dpt的标准偏差，眼睛放大倍数差异产生的标准偏差为0.0414/0.0405/0.0408mm/mradHofferQ/Haigis/Castrop设置。模拟单视，近视眼（S）显示出比正视眼系统更小的平均绝对眼镜校正眼放大率（分别为-0.0351/-0.0340/-0.0336，相对放大率约为2%)。如果S眼近视仍未矫正，眼睛放大倍数的降低要小得多（约0.2-0.3％）。
结论：用于IOLP计算的聚散度公式有时隐含地定义了一个假晶状体眼模型，该模型可直接用于预测白内障手术后的眼倍率。尽管两只眼睛非常相似，眼睛之间的放大倍数并不完全匹配，并且对眼睛放大倍数和aniseikonia的预测可能与避免假晶状体眼的eikonic问题有关。
方法：从一个包含9734名患者白内障手术前双眼生物特征测量（IOLMaster700）的大型数据集，将眼睛随机索引为原发性（P）和继发性（S）。HofferQ的人工晶状体屈光力（IOLP）得出，Haigis和Castrop公式用于P的屈光不正和S的屈光不正或近视（-0.5至-2dpt）以模拟单视。除了这些公式之外，还基于伪晶状体眼模型，使用矩阵代数（折射和平移矩阵以及描述整个眼镜矫正或未矫正眼睛的光学特性的系统矩阵）提取眼睛放大率。
结果：对于P和S的正视，IOLP差异（S-P）显示出0.162/0.156/0.157dpt的标准偏差，眼睛放大倍数差异产生的标准偏差为0.0414/0.0405/0.0408mm/mradHofferQ/Haigis/Castrop设置。模拟单视，近视眼（S）显示出比正视眼系统更小的平均绝对眼镜校正眼放大率（分别为-0.0351/-0.0340/-0.0336，相对放大率约为2%)。如果S眼近视仍未矫正，眼睛放大倍数的降低要小得多（约0.2-0.3％）。
结论：用于IOLP计算的聚散度公式有时隐含地定义了一个假晶状体眼模型，该模型可直接用于预测白内障手术后的眼倍率。尽管两只眼睛非常相似，眼睛之间的放大倍数并不完全匹配，并且对眼睛放大倍数和aniseikonia的预测可能与避免假晶状体眼的eikonic问题有关。
