On the design of spherical gradient index lenses

J. C. Miñano; D. Grabovičkić; P. Benítez; J. C. González; A. Santamaría

doi:10.1117/12.924102

26 April 2012 On the design of spherical gradient index lenses

J. C. Miñano, D. Grabovičkić, P. Benítez, J. C. González, A. Santamaría

Proceedings Volume 8429, Optical Modelling and Design II; 842902 (2012) https://doi.org/10.1117/12.924102
Event: SPIE Photonics Europe, 2012, Brussels, Belgium

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.

Citation Download Citation

J. C. Miñano, D. Grabovičkić, P. Benítez, J. C. González, and A. Santamaría "On the design of spherical gradient index lenses", Proc. SPIE 8429, Optical Modelling and Design II, 842902 (26 April 2012); https://doi.org/10.1117/12.924102

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