Aspheric coefficients of deformation for a Cartesian oval surface

被引：11

作者：

Valencia-Estrada J.C. ^{[1
,2
]}

Vaca Pereira-Ghirghi M. ^{[2
]}

Malacara-Hernández Z. ^{[2
]}

Chaparro-Romo H.A. ^{[2
]}

机构：

[1] Oledcomm SAS, Université de Versailles Saint-Quentin-en-Yvelines, Vélizy-Villacoublay

[2] Optica, Centro de Investigaciones en Óptica A.C, León, Guanajuato

来源：

Journal of Optics | 2017年 / 46卷 / 2期

关键词：

Aspheric coefficients; Aspheric lenses; Cartesian ovals; No-image optics; Spherical aberration free;

D O I：

10.1007/s12596-016-0383-9

中图分类号：

学科分类号：

摘要：

In this paper we propose a mathematical model as a theoretical and practical contribution to the theory of aspheric surfaces, that allows the geometrical calculation of an aspherical refractive surface in cylindrical coordinates (r, z) , that correspond to a non-degenerated Cartesian oval of revolution, according to standard formulae [ISO-10110-12 (2007)], including: vertex curvature C, conical constant K and aspheric deformation coefficients A4,A6,A8,A10 and A14. The results are shown for an object and its respective image located at finite distances from the vertex (origin of coordinates) on the optical axis. © 2016, The Optical Society of India.

引用

页码：100 / 107

页数：7

共 50 条

[21] Closed-form sag solutions for Cartesian oval surfaces
Hsueh, Chun-Che
Elazhary, Tamer
Nakano, Masatsugu
Sasian, Jose
JOURNAL OF OPTICS-INDIA, 2011, 40 (04): : 168 - 175
[22] Planar elliptical solid immersion lens based on a Cartesian oval
McCloskey, D.
Donegan, J. F.
APPLIED PHYSICS LETTERS, 2013, 103 (09)
[23] ASPHERIC SURFACE CALIBRATOR
POWELL, I
APPLIED OPTICS, 1981, 20 (19): : 3367 - 3377
[24] Application of the multiple Cartesian oval method for glass lens design
Geyer, Ulf
Hellwig, Ansgar
Hessling, Thomas
Huebner, Marc C.
ILLUMINATION OPTICS V, 2018, 10693
[25] Study on polishing tool contact deformation for large robotic aspheric surface compliant polishing
Chen, Wei
Zhan, Jianming
Zhang, Mingqing
ADVANCES IN MECHATRONICS AND CONTROL ENGINEERING II, PTS 1-3, 2013, 433-435 : 2058 - 2063
[26] FORMULAS FOR THE ANALYSIS OF THE SURFACE SFG SPECTRUM AND TRANSFORMATION COEFFICIENTS OF CARTESIAN SFG TENSOR COMPONENTS
HIROSE, C
AKAMATSU, N
DOMEN, K
APPLIED SPECTROSCOPY, 1992, 46 (06) : 1051 - 1072
[27] Measurements of Flat Oval Elbow Loss Coefficients
Kulkarni, D.
Khaire, S.
Idem, S.
ASHRAE TRANSACTIONS 2009, VOL 115, PT 1, 2009, 115 : 35 - 47
[28] Construction of freeforms in illumination systems via generalized Cartesian oval representation
Michaelis, D.
Schreiber, P.
Li, Chen
Braeuer, A.
NONIMAGING OPTICS: EFFICIENT DESIGN FOR ILLUMINATION AND SOLAR CONCENTRATION VIII, 2011, 8124
[29] ON CONTINUED FRACTIONS K(AN/1), WHERE ALL AN ARE LYING ON A CARTESIAN OVAL
WAADELAND, H
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1992, 22 (03) : 1123 - 1137
[30] Ideal Cartesian Oval Lens Shape for Refocusing an Already Convergent Beam
Sutter, John P.
Alianelli, Lucia
13TH INTERNATIONAL CONFERENCE ON SYNCHROTRON RADIATION INSTRUMENTATION (SRI2018), 2019, 2054

← 1 2 3 4 5 →