Paper
12 August 2010 A formula for ray trajectories in GRIN cylindrical lenses
Tianxin Yang, Delin Yang, Chong Guo
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Abstract
Graded-index rod lenses have been widely used in various optoelectronic devices such as planar waveguide lasers and external-cavity semiconductor lasers in a new way of cylindrical lenses. In this article, an analytic calculation model of ray trajectories is set up by fitting the data of ray trajectories obtained by numerical ray tracing. Then, a parabolic formula of a ray trajectory is developed by a comparing calculation results. The formula is proved to be reliable by calculation error analysis. It is demonstrated that this formula could improve efficiency of numerical calculation and could be helpful for widening their application range.
© (2010) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Tianxin Yang, Delin Yang, and Chong Guo "A formula for ray trajectories in GRIN cylindrical lenses", Proc. SPIE 7788, Polymer Optics Design, Fabrication, and Materials, 778803 (12 August 2010); https://doi.org/10.1117/12.862089
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KEYWORDS
GRIN lenses

Ray tracing

Cylindrical lenses

Refractive index

Optical design

Semiconductor lasers

Differential equations

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