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

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