Variational design method for dipole-based volumetric artificial media

Abstract

A fundamental challenge has plagued computer-generated volumetric holography since its inception: design methods are available only in the perturbative limit, but this poses serious limitations on efficiency and the amount of multiplexing achievable. Given the recent progress in highly tailorable artificial media, such as metamaterials, the need for general and robust design techniques grows. We present a method based on the electromagnetic variational principle that applies to media that can be described as collections of point dipoles, as most metamaterials are. We demonstrate its efficacy by designing highly efficient, non-perturbative, multiplexing devices.