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

Articles > Article ยท 2012

Authors: Ahmet YILDIRIM, A. Gokdogan, M. Merdan, V. Lakshminarayanan

CHINESE PHYSICS LETTERS, Journal Indexed in SCI Expanded, International, 2012, vol 29

DOI: 10.1088/0256-307x/29/7/074202

Summary

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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