Abstract：Based on the primary theory of optometry, accurate mathematic models for coaxial system of both single lens and combination of several lenses are established with matrix method. Then, comparison between accurate and simplified models is made by calculating the difference on dioptric power due to different position and distance between lenses. Finally, with the accurate mathematic models established, uncertainty for spherical power was evaluated and discussed. It showed that uncertainty from front and back surface radius is the biggest component, secondary is from refractive index and distance between lenses, and uncertainty from lens thickness is the least.
张吉焱,刘文丽. 基于矩阵方法的共轴球面系统屈光特性研究[J]. 计量学报, 2012, 33(1): 21-25.
ZHANG Ji-yan,LIU Wen-li. Study on Refraction Character of Coaxial Spherical System with Matrix Method
. Acta Metrologica Sinica, 2012, 33(1): 21-25.
［1］吴燮灿. 实用眼镜光学［M］. 北京:北京科学技术出版社,2007: 21~103.
［2］吴柳庭. 验光配镜［M］. 北京: 中国轻工业出版社, 2006, 102~206.
［3］ZHANG J Y, LIU W L,SUN J. Theoretical considerations and measurements for phoropters［C］//Seventh International Symposium on Instrumentation and Control Technology-Optoelectronic Technology and instruments, control theory and automation, and Space Exploration, Proc SPIE, 2008, 7129: 712903-1-6.
［4］ZHANG J Y, Sun J, Gao M L, et al. Metrological research on test method for phoropters［C］//Proceedings of 2007 8th international conference on electronic measurement and instruments, Beijing: IEEE Express, 2007, 16~18.
［5］张吉焱, 刘文丽, 孙劼. 综合验光仪中镜片偏心与倾斜对验光的影响分析［J］. 计量学报, 2010, 21(1): 17~21.
［6］施明光. 屈光学矩阵法的基础［J］. 温州医学院学报, 1988, 18(3): 44~50.
［7］王光霁. 矩阵方法在屈光学计算中的应用（一）—共轴球面系统折射光学的计算［J］. 温州医学院学报, 1986, 16(2): 131~139.
［8］周传清, 刘晓玲, 金成鹏. 矩阵方法在球柱镜系统计算中的应用［J］. 眼视光学杂志, 2002, 4(3): 170~172.
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