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

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

Chin. Phys. Lett.

2012, Vol. 29

Issue (7): 074202 DOI: 10.1088/0256-307X/29/7/074202

FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS)

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

A. Yildirim^1**, A. Gökdoğan², M. Merdan³, V. Lakshminarayanan^4,5

¹Department of Mathematics, Zeytinalani University, 4146 Sk. No 16 Zeytinalani Mah. 35440 Urla-Izmir, Turkey
²Department of Mathematics Engineering, Gümüşhane University, 29100 Gümüşhane, Turkey
³Department of Mathematics Engineering, Gümüşhane University, 29100 Gümüşhane, Turkey
⁴School of Optometry and Departement of Physics and Electrical Engineering, University of Waterloo, Waterloo, Canada
⁵Michigan Center for Theoretical Physics, University of Michigan, Ann Arbor, MI, USA

Cite this article:

A. Yildirim, A. Gö, kdoğ et al 2012 Chin. Phys. Lett. 29 074202

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Abstract

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.

Received: 07 November 2011 Published: 29 July 2012

PACS:	42.15.Dp	(Wave fronts and ray tracing)
	02.60.Cb	(Numerical simulation; solution of equations)
	02.60.Lj	(Ordinary and partial differential equations; boundary value problems)

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https://cpl.iphy.ac.cn/10.1088/0256-307X/29/7/074202 OR https://cpl.iphy.ac.cn/Y2012/V29/I7/074202

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