Hiding and absorbing the power emitted by a dipole at the interface of an indefinite medium

The power emitted by a dipole at the interface between an indefinite (hyperbolic) medium and an isotropic medium is analyzed. The theoretical estimation is performed by using a transmission line method for time-harmonic fields in layered isotropic materials. The indefinite medium can be constructed in different ways; here we analyze, as an example, the case of alternating two subwavelength layers of isotropic materials. We compute the power spectrum of transverse electric and magnetic (TE and TM) waves and show that the power emitted by the dipole is mainly coupled into the indefinite medium underneath, opening up several application scenarios, such as innovative carpet cloaking implementations and super absorbers.