Closed-form sag solutions for Cartesian oval surfaces

被引:13
作者
Hsueh, Chun-Che [1 ]
Elazhary, Tamer [2 ]
Nakano, Masatsugu [3 ]
Sasian, Jose [2 ]
机构
[1] Natl Cheng Kung Univ, Dept Mech Engn, Tainan 70101, Taiwan
[2] Univ Arizona, Coll Opt Sci, Tucson, AZ 85721 USA
[3] Canon USA Inc, Tucson, AZ 85747 USA
来源
JOURNAL OF OPTICS-INDIA | 2011年 / 40卷 / 04期
关键词
Aspheric surfaces; Optical design; Ray tracing; Cartesian oval;
D O I
10.1007/s12596-011-0050-0
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
This paper presents a closed-form solution to the sag of the Cartesian oval and an alternate iterative method for obtaining the sag. The emphasis is in providing a methodology for determining the sag and derivatives of a Cartesian surface for optical design, ray-tracing purposes. We verify our results by comparison of our solutions and by real ray tracing.
引用
收藏
页码:168 / 175
页数:8
相关论文
共 7 条
[1]   Descartes ovaloides for negative refractive indices and their aplanatic cases [J].
Guether, R. .
OPTIK, 2008, 119 (12) :577-583
[2]  
King R.B., 1996, BEYOND QUARTIC EQUAT
[3]  
Lawrence J. D., 1972, CATALOG SPECIAL PLAN
[4]   A simplified computation of Cartesian lens surfaces [J].
Silberstein, L .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1935, 25 (10) :340-341
[5]  
Smith D.E., 1954, GEOMETRY RENE DESCAR
[6]  
Stavroudis O.N., 1982, MODULAR OPTICAL DESI
[7]   Approximations to the Cartesian oval [J].
Uhler, HS .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA, 1936, 26 (03) :128-130