Aspherical lens design by using a numerical analysis

被引：34

作者：

Kweon, Gyeong-Il ^{[1
]}

Kim, Cheol-Ho

机构：

[1] Honam Univ, Dept Optoelect, Kwangju 506714, South Korea

[2] Honam Univ, Dept Informat & Commun Engn, Kwangju 506714, South Korea

来源：

JOURNAL OF THE KOREAN PHYSICAL SOCIETY | 2007年 / 51卷 / 01期

关键词：

lens design; optical aberration; geometrical optics; spherical aberration; numerical analysis;

D O I：

10.3938/jkps.51.93

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The surface profiles of four different spherical-aberration-free aspherical lenses are given as conic curves, namely a hyperbola and an ellipse. Historically known as Cartesian ovals, these lens profiles can be obtained from Fermat's principle. Alternatively, we have derived the surface profile from Snell's law. The derivational procedure is physically more appealing and mathematically elegant. The surfaces profiles of two more spherical-aberration-free aspherical lenses, which cannot be represented by conic curves, are given in terms of a semi-analytic formula. Examples of the lens profiles are given.

引用

页码：93 / 103

页数：11

共 11 条

[1] A method to construct refracting profiles [J].

Alamo, N ;

Criado, C .

INVERSE PROBLEMS, 2004, 20 (01) :229-238

[2] Refraction holodiagrams and Snell's law [J].

Cap, N ;

Ruiz, B ;

Rabal, H .

OPTIK, 2003, 114 (02) :89-94

[3] THE FORMS OF CARTESIAN OVALS IN AN OPTICAL RANGE [J].

FARWELL, HW .

AMERICAN JOURNAL OF PHYSICS, 1951, 19 (08) :454-458

[4]

FARWELL HW, 1941, AM J PHYS, V9, P255

[5] Superconic and subconic surface descriptions in optical design [J].

Greynolds, AW .

INTERNATIONAL OPTICAL DESIGN CONFERENCE 2002, 2002, 4832 :1-9

[6]

HARRIGAN ME, 1985, P SOC PHOTO-OPT INS, V554, P112

[7]

Jurek B., 1952, CECHOSLOVACKIJ FIZIC, V1, P197

[8] Folded catadioptric panoramic lens with an equidistance projection scheme [J].

Kweon, GI ;

Kim, KT ;

Kim, GH ;

Kim, HS .

APPLIED OPTICS, 2005, 44 (14) :2759-2767

[9] GEOMETRICAL DESIGN FOR ASPHERIC REFLECTING SYSTEMS [J].

MERTZ, L .

APPLIED OPTICS, 1979, 18 (24) :4182-4186

[10]

Stavroudis ON., 1972, OPTICS RAYS WAVEFRON

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