A simple derivation of analytic expressions for the chromatic paraxial aberration coefficients of radial gradientindex lenses is presented. By decomposing the transverse chromatic aberration vector of an arbitrary paraxial ray in contributions from refraction at the surfaces and from transfer through the inhomogeneous media of the system, remarkably short formulas for the contributions of trans...

Metamaterials--artificially structured materials with tailored electromagnetic response--can be designed to have properties difficult or impossible to achieve with traditional materials fabrication methods. Here we present a structured metamaterial, based on conducting split ring resonators (SRRs), which has an effective index of refraction with a constant spatial gradient. We experimentally co...

We describe several extensions to TIM, a raytracing program for ray-optics research. These include relativistic raytracing; simulation of the external appearance of Eaton lenses, Luneburg lenses and generalised focusing gradient-index lens (GGRIN) lenses, which are types of perfect imaging devices; raytracing through interfaces between spaces with different optical metrics; and refraction with ...

The primary objective of this paper is to demonstrate the utility symplectic numerical techniques for ray tracing within gradient-index media. relevant mathematics are explained in brief, deriving optical Hamiltonian independently Lagrangian formalism before constructing a algorithm. Numerical experiments with Luneburg and Maxwell fish-eye lenses compare effectiveness methods standard integrati...

The human eye treated as an optical system is an excellent model to teach various aspects of Optics. The range of topics treated can start from simple refraction upto quantum optics including detection of single photons. In particular, concepts and methods such as ray tracing, apertures and stops, field of view calculations, gradient index systems, non-centered systems, Fraunhofer and Fresnel d...