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Proceedings Paper

On the design of spherical gradient index lenses
Author(s): J. C. Miñano; D. Grabovičkić; P. Benítez; J. C. González; A. Santamaría
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Paper Abstract

Classical spherical gradient index (GRIN) lenses (such as Maxwell Fish Eye lens, Eaton lens, Luneburg lens, etc.) design procedure using the Abel integral equation is reviewed and reorganized. Each lens is fully defined by a function called the angle of flight which describes the ray deflection through the lens. The radial refractive index distribution is obtained by applying a linear integral transformation to the angle of flight. The interest of this formulation is in the linearity of the integral transformation which allows us to derive new solutions from linear combinations of known lenses. Beside the review of the classical GRIN designs, we present a numerical method for GRIN lenses defined by the Abel integral equation with fixed limits, which is an ill-posed problem.

Paper Details

Date Published: 26 April 2012
PDF: 11 pages
Proc. SPIE 8429, Optical Modelling and Design II, 842902 (26 April 2012); doi: 10.1117/12.924102
Show Author Affiliations
J. C. Miñano, Univ. Politécnica de Madrid (Spain)
Light Prescriptions Innovators, LLC (United States)
D. Grabovičkić, Univ. Politécnica de Madrid (Spain)
P. Benítez, Univ. Politécnica de Madrid (Spain)
Light Prescriptions Innovators, LLC (United States)
J. C. González, Univ. Politécnica de Madrid (Spain)
A. Santamaría, Univ. Politécnica de Madrid (Spain)


Published in SPIE Proceedings Vol. 8429:
Optical Modelling and Design II
Frank Wyrowski; John T. Sheridan; Jani Tervo; Youri Meuret, Editor(s)

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