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.
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页数：4
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