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Optical Engineering

Paraxial ray tracing in inhomogeneous optical media
Author(s): A. A. Rangwala; A. M. Ghodgaonkar; R. D. Tewari
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Paper Abstract

Starting from the variational form of Fermat's principle, we identify the optical Lagrangian and obtain the standard form of the ray equations in inhomogeneous optical media. Specializing to cylindrically symmetric media, we define the paraxial ray approximation through the exact first integral of the ray equation. This enables us not only to relate the constants of integration to the boundary conditions at the entry point of the ray into the medium, but more importantly furnishes a systematic way of introducing corrections to the paraxial approximation. We also exhibit power-law refractive index profiles, which result in periodic ray trajectories.

Paper Details

Date Published: 1 March 1998
PDF: 8 pages
Opt. Eng. 37(3) doi: 10.1117/1.601937
Published in: Optical Engineering Volume 37, Issue 3
Show Author Affiliations
A. A. Rangwala, Univ. of Mumbai (India)
A. M. Ghodgaonkar, Univ. of Mumbai (India)
R. D. Tewari, Univ. of Mumbai (India)

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