2-D isotropic negative refractive index in a N-type four-level atomic system

Abstract: 2-D(Two-dimensional) isotropic negative refractive index (NRI) is explicitly realized via the orthogonal signal and coupling standing-wave fields coupling the N-type four-level atomic system. Under some key parameters of the dense vapor media, the atomic system exhibits isotropic NRI with simultaneous negative permittivity and permeability (i.e. Left-handedness) in the 2-D x-y plane. Compared with other 2-D NRI schemes, the coherent atomic vapor media in our scheme may be an ideal 2-D isotropic NRI candidate and has some potential advantages, significance or applications in the further investigation.