Theoretical analysis of square GRIN lens

Zigang Zhou; Kai Chen; Ren Zhang

doi:10.1117/12.753506

28 November 2007 Theoretical analysis of square GRIN lens

Zigang Zhou, Kai Chen, Ren Zhang

Proceedings Volume 6834, Optical Design and Testing III; 683406 (2007) https://doi.org/10.1117/12.753506
Event: Photonics Asia 2007, 2007, Beijing, China

Abstract

Square Gradient-index Selfoc lenses (GRIN) were successfully prepared by Tl⁺ and K⁺ ion-exchange. The ion concentration equation in square class fiber was calculated by variable separation method. The refractive-index profile of Square GRIN lenses analytic solution is got based on the linear relation between refractive-index and ion concentration. The computation results are in good agreement with the measured ones. MATLAB partial differential toolbox was used to numerically solve ion diffusion equation on square boundary conditions, this works is easy to be handled and redound to the research on Square GRIN Lenses. The refractive-index analytic solution can be predigested and modeled by a square law function with introducing the concept of incidence directions angle. Based on the function, the ray's trajectory equation and Numerical Aperture were got. This work shows that the optical properties of Square GRIN lenses are related to the directions angle.

Citation Download Citation

Zigang Zhou, Kai Chen, and Ren Zhang "Theoretical analysis of square GRIN lens", Proc. SPIE 6834, Optical Design and Testing III, 683406 (28 November 2007); https://doi.org/10.1117/12.753506

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