| 一种高次光学非球面度的计算方法 |
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| 引用本文： | 刘惠兰,沙定国,郝群,朱秋东.一种高次光学非球面度的计算方法[J].光电工程,2004,31(6):44-47. |
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| 作者姓名： | 刘惠兰 沙定国 郝群 朱秋东 |
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| 作者单位： | 北京理工大学光电工程系,北京,100081 |
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| 基金项目： | 国家自然科学基金项目(60278027) |
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| 摘 要： | 针对现有光学非球面度计算方法不统一的问题,在分析常用方法特点的基础上,对于高次光学非球面度的计算提出最小最大残差法。寻找最接近球面,使其沿法线方向与非球面的最大偏离量最小,此时的最大偏离量即为非球面的最大非球面度。该方法适于计算机编程,计算结果准确,且可完全统一二次曲面和高次非球面的非球面度计算。
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| 关 键 词： | 非球面 高次非球面 计算方法 最小最大残差法 |
| 文章编号： | 1003-501X(2004)06-0044-04 |
| 收稿时间： | 2003/10/15 |
| 修稿时间： | 2003年10月15 |
A method for calculating asphericity of high-order optical aspheric surface |
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| LIU Hui-lan,SHA Ding-guo,HAO Qun,ZHU Qiu-dong.A method for calculating asphericity of high-order optical aspheric surface[J].Opto-Electronic Engineering,2004,31(6):44-47. |
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| Authors: | LIU Hui-lan SHA Ding-guo HAO Qun ZHU Qiu-dong |
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| Abstract: | In view of methods for calculating asphericity of optical aspheric surface are nonuniform, a least maximum residual error method for calculating asphericity of high-order optical aspheric surface is proposed on the basis of analyzing common calculating methods. Through finding a best fitting spherical surface, making the maximum deviation between aspheric surface and the best fitting spherical surface minimum, the maximum deviation at this time is just the maximum asphericity of aspheric surface. The method is suitable for computer programming and its calculation results are accurate. It fully unifies the asphericity calculation for conicoid and high-order aspheric surface. |
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| Keywords: | Aspheric surface High order aspheric surface Calculation methods Least maximum error method |
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