Direct manipulation of wave amplitude and phase through inverse design of isotropic media

Abstract

In this article we propose a new design methodology allowing us to control both amplitude and phase of electromagnetic waves from a cylindrical incident wave. This results in isotropic materials and does not resort to transformation optics or its quasi-conformal approximations. Our method leads to two-dimensional isotropic, inhomogeneous material profiles of permittivity and permeability, to which a general class of scattering-free wave solutions arise. Our design is based on the separation of the complex wave solution into amplitude and phase. We give two types of examples to validate our methodology.

Keywords

• inverse problem
• wave optics
• electromagnetic wave propagation
• 41.20.Jb
• 42.25.-p
• 02.30.Zz