Design of an Effective Refractive Index for a Generalized Luneburg Lens with Accuracy Control
Enoel Arrokho Ernandes1, Dmitriy V. Divakov1;
1RUDN University, Moscow, Russia Federation
Abstract
The Luneburg lens is a spherically symmetric gradient-index optical element whose variable refractive index is governed by Morgan's equation, which relates the ray trajectory to the radial coordinate and to the refractive index distribution of the medium.
The Luneburg lens is implemented as thin-film planar waveguide structures for integrated-optical processors and spectrum analyzers, and is also used in microwave engineering as a multibeam antenna providing rapid beam steering without mechanical rotation.
We propose and implement an algorithm for the numerical solution of Morgan's equation with accuracy control, comprising a numerical procedure for calculating the improper integral in the right-hand side of the equation, together with an algorithm for solving the whole nonlinear equation with accuracy control.
Speaker
Divakov Dmitriy
RUDN University
Russia
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