Numerical Approximations to the Solution of Ray Tracing through the Crystalline Lens

被引：6

作者：

Yildirim, A. ^{[1
]}

Gokdogan, A. ^{[2
]}

Merdan, M. ^{[2
]}

Lakshminarayanan, V. ^{[3
,4
,5
]}

机构：

[1] Zeytinalani Univ, Dept Math, TR-35440 Urla Izmir, Turkey

[2] Gumushane Univ, Dept Engn Math, TR-29100 Gumushane, Turkey

[3] Univ Waterloo, Sch Optometry, Waterloo, ON N2L 3G1, Canada

[4] Univ Waterloo, Dept Phys & Elect Engn, Waterloo, ON N2L 3G1, Canada

[5] Univ Michigan, Michigan Ctr Theoret Phys, Ann Arbor, MI 48109 USA

来源：

CHINESE PHYSICS LETTERS | 2012年 / 29卷 / 07期

关键词：

DIFFERENTIAL TRANSFORM METHOD; DECOMPOSITION METHOD; INDEX; ALGORITHM; SYSTEMS; EYE;

D O I：

10.1088/0256-307X/29/7/074202

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

An approximate analytical solution in the form of a rapidly convergent series for tracing light rays through an inhomogeneous graded index medium is developed, using the multi-step differential transform method based on the classical differential transformation method. Numerical results are compared to those obtained by the fourth-order Runge-Kutta method to illustrate the precision and effectiveness of the proposed method. Results are given in explicit and graphical forms.

引用

页数：4

共 50 条

[21] Numerical ray tracing through a modified cladding fiber optic segment sensors
Chyad, Radhi M.
Jafri, Mohd Zubir Mat
Mutter, Kussay N.
Ibrahim, Kamarulazizi
OPTIK, 2012, 123 (10): : 860 - 862
[22] NUMERICAL RAY TRACING IN ELECTRON LENSES
JENNINGS, JCE
PRATT, RG
PROCEEDINGS OF THE PHYSICAL SOCIETY OF LONDON SECTION B, 1955, 68 (08): : 526 - 536
[23] Quantifying spherical aberration of the human crystalline lens during simulated accommodation using ray-tracing aberrometry
Ruggeri, Marco
Williams, Siobhan
Heilman, Bianca Maceo
Mohamed, Ashik
Chang, Yu-Cherng
Sravani, N. Geetha
Durgam, Shravya Sri
Ho, Arthur
Parel, Jean-Marie
Manns, Fabrice
INVESTIGATIVE OPHTHALMOLOGY & VISUAL SCIENCE, 2019, 60 (09)
[24] Ray tracing solution for diffuse interreflection
Ward, Gregory J.
Rubinstein, Francis M.
Clear, Robert D.
Computer Graphics (ACM), 1988, 22 (04): : 85 - 92
[25] Semi-analytical finite ray-tracing through the quadratic symmetric GRIN lens
Flynn, Conor
Goncharov, Alexander V.
APPLIED OPTICS, 2024, 63 (01) : 290 - 298
[26] TRACING FINITE RAYS THROUGH A FRESNEL LENS
POWELL, I
APPLIED OPTICS, 1983, 22 (18): : 2924 - 2926
[27] Ray tracing of a molecular lens with velocity map imaging
Zhao, B.S., 2000, IEEE, Piscataway, NJ, United States
[28] Dislocation of intraocular lens analysed by means of ray tracing
Fink, W
Frohn, A
Schmid, EW
INVESTIGATIVE OPHTHALMOLOGY & VISUAL SCIENCE, 1996, 37 (03) : 3538 - 3538
[29] Hybrid Ray Tracing Method for Microwave Lens Simulation
Dong, Junwei
Zaghloul, Amir I.
IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2011, 59 (10) : 3786 - 3796
[30] Calculating Intraocular lens geometry by real ray tracing
Einighammer, Jens
Oltrup, Theo
Bende, Thomas
Jean, Benedikt
JOURNAL OF REFRACTIVE SURGERY, 2007, 23 (04) : 393 - 404

← 1 2 3 4 5 →