Fig. 1.

(A) Sketch of the geometry: A 2D epsilon-near-zero (ENZ) (${\epsilon }_h\to 0$) body of cross-sectional area $A_h$ containing one or more 2D dielectric particles of cross-sectional area $A_p$ and relative permittivity ${\epsilon }_p$, is immersed in a photonic environment $A_{\text{ext}}$ characterized by relative permittivity ${\epsilon }_{\text{ext}}\left(\mathbf{r}\right)$. The permeability of all of the materials is taken to be that of free space. The body is assumed to be at thermal equilibrium at temperature $T$, resulting in thermal emission into the environment modeled as the radiation of fluctuating currents impressed on the body (shown as red arrows). (B) Sketch (Top Left), emission pattern (Top Right), and snapshot of the magnetic field distribution (Bottom) when the system is excited by a 2D line of point electric dipole (i.e., a line dipole) (shown as a blue arrow) directly impressed on the ENZ body. (C) Same as in B, but the body contains a dielectric rod of permittivity ${\epsilon }_p=10$ and radius $r_p=0.122{\lambda }_p$, designed resonantly to enhance the constant magnetic field. The numerical simulations ratify the excitation of spatially static fields on the ENZ host and the coupling to the environment in the form of directive emission.