The field of transformation optics shows that media containing gradients in optical properties
are equivalent to curved geometries of spacetime for the propagation of light. Conformal …

Based on the form‐invariance of Maxwell's equations under coordinate transformations,
mathematically smooth deformation of space can be physically equivalent to …

Non-Euclidean transformations have been recently proposed to produce a link between 3-D
homogeneous surfaces and 2-D dielectric lenses. Therefore, the propagation in a …

This article summarizes the recently discovered opportunities of geodesic lenses for
producing high-performing antennas for 5G/6G communications. First, we explain the …

A double-layer lens consists of a first gradient-index/geodesic profile in an upper
waveguide, partially surrounded by a mirror that reflects the wave into a lower guide where …

Lens design for focusing and imaging has been optimized through centuries of
developments; however, conventional lenses, even in their most ideal realizations, still suffer …

This paper presents a general approach to solving the problems of inverse scattering in
three-dimensional isotropic media with a spherically symmetric refractive index distribution …

Maxwell's fish-eye lens (MFEL) with positive refraction has been shown to achieve perfect
imaging, but with the cost of drain assistance. This has led to ongoing heated debates about …

Lenses are of interest for the design of directive antennas and multi-optics instruments in the
microwave, terahertz and optical domains. Here, we introduce an optical problem defined as …

A circular graded index lens is conformally transformed to an elliptical shape using a closed-
form transformation. The proposed transformation is then employed to compress a Maxwell …