Good news, the abstract has been accepted for oral presentation in Metamaterial congress 2016, 17-22 Sept. in Crete. Here is the link for the abstract, and here is the presentation.
Abstract: We propose a general methodology to manipulate the amplitude of an electromagnetic wave in a pre-specified way, without introducing any scattering. This leads to a whole class of isotropic spatially varying permittivity and permeability profiles that are invisible to incident waves. The theory is illustrated through various numerical examples, including the non-magnetic case. The implementation of the required material properties using metamaterials is discussed, as well as extensions of the method for controlling the phase of electromagnetic fields.